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",[576,1939,1941,1958],{"className":1940},[579],[576,1942,1944],{"className":1943},[583],[585,1945,1946],{"xmlns":587},[589,1947,1948,1956],{},[592,1949,1950,1952,1954],{},[603,1951,787],{},[789,1953,791],{},[595,1955,795],{"mathvariant":794},[618,1957,798],{"encoding":620},[576,1959,1961],{"className":1960,"ariaHidden":626},[625],[576,1962,1964,1967,1970,1973],{"className":1963},[630],[576,1965],{"className":1966,"style":808},[634],[576,1968,787],{"className":1969},[639],[576,1971],{"className":1972,"style":815},[645],[576,1974,795],{"className":1975},[639]," angelegt:",[576,1978,1981],{"className":1979},[1980],"katex-display",[576,1982,1984,2026],{"className":1983},[579],[576,1985,1987],{"className":1986},[583],[585,1988,1990],{"xmlns":587,"display":1989},"block",[589,1991,1992,2023],{},[592,1993,1994,2000,2002,2004,2006,2012,2015,2018,2020],{},[943,1995,1996,1998],{},[595,1997,947],{},[603,1999,1922],{},[599,2001,601],{},[603,2003,1892],{},[599,2005,1510],{},[962,2007,2008,2010],{},[603,2009,838],{},[603,2011,1922],{},[599,2013,2014],{},"≈",[603,2016,2017],{},"2318,55",[789,2019,791],{},[789,2021,2022],{},"Euro",[618,2024,2025],{"encoding":620},"K_5 = 2000 \\cdot 1{,}03^5 \\approx 2318{,}55\\,\\text{Euro}",[576,2027,2029,2084,2102,2161],{"className":2028,"ariaHidden":626},[625],[576,2030,2032,2035,2075,2078,2081],{"className":2031},[630],[576,2033],{"className":2034,"style":980},[634],[576,2036,2038,2041],{"className":2037},[639],[576,2039,947],{"className":2040,"style":987},[639,640],[576,2042,2044],{"className":2043},[991],[576,2045,2047,2067],{"className":2046},[696,697],[576,2048,2050,2064],{"className":2049},[701],[576,2051,2053],{"className":2052,"style":1001},[705],[576,2054,2055,2058],{"style":1004},[576,2056],{"className":2057,"style":1008},[713],[576,2059,2061],{"className":2060},[718,719,720,721],[576,2062,1922],{"className":2063},[639,721],[576,2065,758],{"className":2066},[757],[576,2068,2070],{"className":2069},[701],[576,2071,2073],{"className":2072,"style":1024},[705],[576,2074],{},[576,2076],{"className":2077,"style":646},[645],[576,2079,601],{"className":2080},[650],[576,2082],{"className":2083,"style":646},[645],[576,2085,2087,2090,2093,2096,2099],{"className":2086},[630],[576,2088],{"className":2089,"style":1555},[634],[576,2091,1892],{"className":2092},[639],[576,2094],{"className":2095,"style":667},[645],[576,2097,1510],{"className":2098},[671],[576,2100],{"className":2101,"style":667},[645],[576,2103,2105,2109,2112,2118,2121,2152,2155,2158],{"className":2104},[630],[576,2106],{"className":2107,"style":2108},[634],"height:1.0585em;vertical-align:-0.1944em;",[576,2110,605],{"className":2111},[639],[576,2113,2115],{"className":2114},[639],[576,2116,880],{"className":2117},[879],[576,2119,950],{"className":2120},[639],[576,2122,2124,2127],{"className":2123},[639],[576,2125,787],{"className":2126},[639],[576,2128,2130],{"className":2129},[991],[576,2131,2133],{"className":2132},[696],[576,2134,2136],{"className":2135},[701],[576,2137,2140],{"className":2138,"style":2139},[705],"height:0.8641em;",[576,2141,2143,2146],{"style":2142},"top:-3.113em;margin-right:0.05em;",[576,2144],{"className":2145,"style":1008},[713],[576,2147,2149],{"className":2148},[718,719,720,721],[576,2150,1922],{"className":2151},[639,721],[576,2153],{"className":2154,"style":646},[645],[576,2156,2014],{"className":2157},[650],[576,2159],{"className":2160,"style":646},[645],[576,2162,2164,2168,2172,2178,2182,2185],{"className":2163},[630],[576,2165],{"className":2166,"style":2167},[634],"height:0.8778em;vertical-align:-0.1944em;",[576,2169,2171],{"className":2170},[639],"2318",[576,2173,2175],{"className":2174},[639],[576,2176,880],{"className":2177},[879],[576,2179,2181],{"className":2180},[639],"55",[576,2183],{"className":2184,"style":815},[645],[576,2186,2189],{"className":2187},[639,2188],"text",[576,2190,2022],{"className":2191},[639],[565,2193,2194,2195,2235,2236,2311],{},"Die Zinsen betragen insgesamt ",[576,2196,2198,2213],{"className":2197},[579],[576,2199,2201],{"className":2200},[583],[585,2202,2203],{"xmlns":587},[589,2204,2205,2210],{},[592,2206,2207],{},[603,2208,2209],{},"318,55",[618,2211,2212],{"encoding":620},"318{,}55",[576,2214,2216],{"className":2215,"ariaHidden":626},[625],[576,2217,2219,2222,2226,2232],{"className":2218},[630],[576,2220],{"className":2221,"style":869},[634],[576,2223,2225],{"className":2224},[639],"318",[576,2227,2229],{"className":2228},[639],[576,2230,880],{"className":2231},[879],[576,2233,2181],{"className":2234},[639]," €. Ohne Zinseszins wären es nur ",[576,2237,2239,2263],{"className":2238},[579],[576,2240,2242],{"className":2241},[583],[585,2243,2244],{"xmlns":587},[589,2245,2246,2260],{},[592,2247,2248,2250,2252,2255,2257],{},[603,2249,1922],{},[599,2251,1510],{},[603,2253,2254],{},"60",[599,2256,601],{},[603,2258,2259],{},"300",[618,2261,2262],{"encoding":620},"5 \\cdot 60 = 300",[576,2264,2266,2284,2302],{"className":2265,"ariaHidden":626},[625],[576,2267,2269,2272,2275,2278,2281],{"className":2268},[630],[576,2270],{"className":2271,"style":1555},[634],[576,2273,1922],{"className":2274},[639],[576,2276],{"className":2277,"style":667},[645],[576,2279,1510],{"className":2280},[671],[576,2282],{"className":2283,"style":667},[645],[576,2285,2287,2290,2293,2296,2299],{"className":2286},[630],[576,2288],{"className":2289,"style":1555},[634],[576,2291,2254],{"className":2292},[639],[576,2294],{"className":2295,"style":646},[645],[576,2297,601],{"className":2298},[650],[576,2300],{"className":2301,"style":646},[645],[576,2303,2305,2308],{"className":2304},[630],[576,2306],{"className":2307,"style":1555},[634],[576,2309,2259],{"className":2310},[639]," €.",[565,2313,2314,2315,2366,2367,2396,2397,2426],{},"Wie viel muss man heute anlegen, um bei ",[576,2316,2318,2337],{"className":2317},[579],[576,2319,2321],{"className":2320},[583],[585,2322,2323],{"xmlns":587},[589,2324,2325,2334],{},[592,2326,2327,2330,2332],{},[603,2328,2329],{},"2,5",[789,2331,791],{},[595,2333,795],{"mathvariant":794},[618,2335,2336],{"encoding":620},"2{,}5\\,\\%",[576,2338,2340],{"className":2339,"ariaHidden":626},[625],[576,2341,2343,2347,2351,2357,2360,2363],{"className":2342},[630],[576,2344],{"className":2345,"style":2346},[634],"height:0.9444em;vertical-align:-0.1944em;",[576,2348,2350],{"className":2349},[639],"2",[576,2352,2354],{"className":2353},[639],[576,2355,880],{"className":2356},[879],[576,2358,1922],{"className":2359},[639],[576,2361],{"className":2362,"style":815},[645],[576,2364,795],{"className":2365},[639]," nach ",[576,2368,2370,2384],{"className":2369},[579],[576,2371,2373],{"className":2372},[583],[585,2374,2375],{"xmlns":587},[589,2376,2377,2382],{},[592,2378,2379],{},[603,2380,2381],{},"4",[618,2383,2381],{"encoding":620},[576,2385,2387],{"className":2386,"ariaHidden":626},[625],[576,2388,2390,2393],{"className":2389},[630],[576,2391],{"className":2392,"style":1555},[634],[576,2394,2381],{"className":2395},[639]," Jahren ",[576,2398,2400,2414],{"className":2399},[579],[576,2401,2403],{"className":2402},[583],[585,2404,2405],{"xmlns":587},[589,2406,2407,2412],{},[592,2408,2409],{},[603,2410,2411],{},"5000",[618,2413,2411],{"encoding":620},[576,2415,2417],{"className":2416,"ariaHidden":626},[625],[576,2418,2420,2423],{"className":2419},[630],[576,2421],{"className":2422,"style":1555},[634],[576,2424,2411],{"className":2425},[639]," € zu haben?",[576,2428,2430],{"className":2429},[1980],[576,2431,2433,2473],{"className":2432},[579],[576,2434,2436],{"className":2435},[583],[585,2437,2438],{"xmlns":587,"display":1989},[589,2439,2440,2470],{},[592,2441,2442,2448,2450,2461,2463,2466,2468],{},[943,2443,2444,2446],{},[595,2445,947],{},[603,2447,950],{},[599,2449,601],{},[610,2451,2452,2454],{},[603,2453,2411],{},[962,2455,2456,2459],{},[603,2457,2458],{},"1,025",[603,2460,2381],{},[599,2462,2014],{},[603,2464,2465],{},"4529,75",[789,2467,791],{},[789,2469,2022],{},[618,2471,2472],{"encoding":620},"K_0 = \\frac{5000}{1{,}025^4} \\approx 4529{,}75\\,\\text{Euro}",[576,2474,2476,2531,2654],{"className":2475,"ariaHidden":626},[625],[576,2477,2479,2482,2522,2525,2528],{"className":2478},[630],[576,2480],{"className":2481,"style":980},[634],[576,2483,2485,2488],{"className":2484},[639],[576,2486,947],{"className":2487,"style":987},[639,640],[576,2489,2491],{"className":2490},[991],[576,2492,2494,2514],{"className":2493},[696,697],[576,2495,2497,2511],{"className":2496},[701],[576,2498,2500],{"className":2499,"style":1001},[705],[576,2501,2502,2505],{"style":1004},[576,2503],{"className":2504,"style":1008},[713],[576,2506,2508],{"className":2507},[718,719,720,721],[576,2509,950],{"className":2510},[639,721],[576,2512,758],{"className":2513},[757],[576,2515,2517],{"className":2516},[701],[576,2518,2520],{"className":2519,"style":1024},[705],[576,2521],{},[576,2523],{"className":2524,"style":646},[645],[576,2526,601],{"className":2527},[650],[576,2529],{"className":2530,"style":646},[645],[576,2532,2534,2538,2645,2648,2651],{"className":2533},[630],[576,2535],{"className":2536,"style":2537},[634],"height:2.2019em;vertical-align:-0.8804em;",[576,2539,2541,2544,2642],{"className":2540},[639],[576,2542],{"className":2543},[688,689],[576,2545,2547],{"className":2546},[610],[576,2548,2550,2633],{"className":2549},[696,697],[576,2551,2553,2630],{"className":2552},[701],[576,2554,2557,2610,2618],{"className":2555,"style":2556},[705],"height:1.3214em;",[576,2558,2560,2563],{"style":2559},"top:-2.314em;",[576,2561],{"className":2562,"style":714},[713],[576,2564,2566,2569,2575,2579],{"className":2565},[639],[576,2567,605],{"className":2568},[639],[576,2570,2572],{"className":2571},[639],[576,2573,880],{"className":2574},[879],[576,2576,2578],{"className":2577},[639],"02",[576,2580,2582,2585],{"className":2581},[639],[576,2583,1922],{"className":2584},[639],[576,2586,2588],{"className":2587},[991],[576,2589,2591],{"className":2590},[696],[576,2592,2594],{"className":2593},[701],[576,2595,2598],{"className":2596,"style":2597},[705],"height:0.7401em;",[576,2599,2601,2604],{"style":2600},"top:-2.989em;margin-right:0.05em;",[576,2602],{"className":2603,"style":1008},[713],[576,2605,2607],{"className":2606},[718,719,720,721],[576,2608,2381],{"className":2609},[639,721],[576,2611,2612,2615],{"style":730},[576,2613],{"className":2614,"style":714},[713],[576,2616],{"className":2617,"style":738},[737],[576,2619,2621,2624],{"style":2620},"top:-3.677em;",[576,2622],{"className":2623,"style":714},[713],[576,2625,2627],{"className":2626},[639],[576,2628,2411],{"className":2629},[639],[576,2631,758],{"className":2632},[757],[576,2634,2636],{"className":2635},[701],[576,2637,2640],{"className":2638,"style":2639},[705],"height:0.8804em;",[576,2641],{},[576,2643],{"className":2644},[771,689],[576,2646],{"className":2647,"style":646},[645],[576,2649,2014],{"className":2650},[650],[576,2652],{"className":2653,"style":646},[645],[576,2655,2657,2660,2664,2670,2674,2677],{"className":2656},[630],[576,2658],{"className":2659,"style":2167},[634],[576,2661,2663],{"className":2662},[639],"4529",[576,2665,2667],{"className":2666},[639],[576,2668,880],{"className":2669},[879],[576,2671,2673],{"className":2672},[639],"75",[576,2675],{"className":2676,"style":815},[645],[576,2678,2680],{"className":2679},[639,2188],[576,2681,2022],{"className":2682},[639],[565,2684,2685,2686,2715,2716,2803],{},"Bei welchem Zinssatz verdoppelt sich ein Kapital in ",[576,2687,2689,2703],{"className":2688},[579],[576,2690,2692],{"className":2691},[583],[585,2693,2694],{"xmlns":587},[589,2695,2696,2701],{},[592,2697,2698],{},[603,2699,2700],{},"10",[618,2702,2700],{"encoding":620},[576,2704,2706],{"className":2705,"ariaHidden":626},[625],[576,2707,2709,2712],{"className":2708},[630],[576,2710],{"className":2711,"style":1555},[634],[576,2713,2700],{"className":2714},[639]," Jahren? Aus ",[576,2717,2719,2741],{"className":2718},[579],[576,2720,2722],{"className":2721},[583],[585,2723,2724],{"xmlns":587},[589,2725,2726,2738],{},[592,2727,2728,2734,2736],{},[962,2729,2730,2732],{},[595,2731,597],{},[603,2733,2700],{},[599,2735,601],{},[603,2737,2350],{},[618,2739,2740],{"encoding":620},"q^{10} = 2",[576,2742,2744,2794],{"className":2743,"ariaHidden":626},[625],[576,2745,2747,2751,2785,2788,2791],{"className":2746},[630],[576,2748],{"className":2749,"style":2750},[634],"height:1.0085em;vertical-align:-0.1944em;",[576,2752,2754,2757],{"className":2753},[639],[576,2755,597],{"className":2756,"style":641},[639,640],[576,2758,2760],{"className":2759},[991],[576,2761,2763],{"className":2762},[696],[576,2764,2766],{"className":2765},[701],[576,2767,2770],{"className":2768,"style":2769},[705],"height:0.8141em;",[576,2771,2773,2776],{"style":2772},"top:-3.063em;margin-right:0.05em;",[576,2774],{"className":2775,"style":1008},[713],[576,2777,2779],{"className":2778},[718,719,720,721],[576,2780,2782],{"className":2781},[639,721],[576,2783,2700],{"className":2784},[639,721],[576,2786],{"className":2787,"style":646},[645],[576,2789,601],{"className":2790},[650],[576,2792],{"className":2793,"style":646},[645],[576,2795,2797,2800],{"className":2796},[630],[576,2798],{"className":2799,"style":1555},[634],[576,2801,2350],{"className":2802},[639]," folgt",[576,2805,2807],{"className":2806},[1980],[576,2808,2810,2853],{"className":2809},[579],[576,2811,2813],{"className":2812},[583],[585,2814,2815],{"xmlns":587,"display":1989},[589,2816,2817,2850],{},[592,2818,2819,2821,2823,2829,2831,2834,2836,2839,2841,2843,2846,2848],{},[595,2820,597],{},[599,2822,601],{},[1205,2824,2825,2827],{},[603,2826,2350],{},[603,2828,2700],{},[599,2830,2014],{},[603,2832,2833],{},"1,0718",[599,2835,880],{"separator":626},[645,2837],{"width":2838},"2em",[595,2840,565],{},[599,2842,2014],{},[603,2844,2845],{},"7,18",[789,2847,791],{},[595,2849,795],{"mathvariant":794},[618,2851,2852],{"encoding":620},"q = \\sqrt[10]{2} \\approx 1{,}0718, \\qquad p \\approx 7{,}18\\,\\%",[576,2854,2856,2874,2974,3015],{"className":2855,"ariaHidden":626},[625],[576,2857,2859,2862,2865,2868,2871],{"className":2858},[630],[576,2860],{"className":2861,"style":635},[634],[576,2863,597],{"className":2864,"style":641},[639,640],[576,2866],{"className":2867,"style":646},[645],[576,2869,601],{"className":2870},[650],[576,2872],{"className":2873,"style":646},[645],[576,2875,2877,2881,2965,2968,2971],{"className":2876},[630],[576,2878],{"className":2879,"style":2880},[634],"height:1.04em;vertical-align:-0.0839em;",[576,2882,2884,2912],{"className":2883},[639,1257],[576,2885,2887],{"className":2886},[1261],[576,2888,2890],{"className":2889},[696],[576,2891,2893],{"className":2892},[701],[576,2894,2897],{"className":2895,"style":2896},[705],"height:0.8455em;",[576,2898,2900,2903],{"style":2899},"top:-3.0233em;",[576,2901],{"className":2902,"style":1098},[713],[576,2904,2906],{"className":2905},[718,719,1103,721],[576,2907,2909],{"className":2908},[639,721],[576,2910,2700],{"className":2911},[639,721],[576,2913,2915,2956],{"className":2914},[696,697],[576,2916,2918,2953],{"className":2917},[701],[576,2919,2922,2936],{"className":2920,"style":2921},[705],"height:0.9561em;",[576,2923,2926,2929],{"className":2924,"style":2925},[1300],"top:-3em;",[576,2927],{"className":2928,"style":714},[713],[576,2930,2933],{"className":2931,"style":2932},[639],"padding-left:0.833em;",[576,2934,2350],{"className":2935},[639],[576,2937,2939,2942],{"style":2938},"top:-2.9161em;",[576,2940],{"className":2941,"style":714},[713],[576,2943,2946],{"className":2944,"style":2945},[1463],"min-width:0.853em;height:1.08em;",[1466,2947,2950],{"xmlns":1468,"width":1469,"height":2948,"viewBox":2949,"preserveAspectRatio":1472},"1.08em","0 0 400000 1080",[1474,2951],{"d":2952},"M95,702\nc-2.7,0,-7.17,-2.7,-13.5,-8c-5.8,-5.3,-9.5,-10,-9.5,-14\nc0,-2,0.3,-3.3,1,-4c1.3,-2.7,23.83,-20.7,67.5,-54\nc44.2,-33.3,65.8,-50.3,66.5,-51c1.3,-1.3,3,-2,5,-2c4.7,0,8.7,3.3,12,10\ns173,378,173,378c0.7,0,35.3,-71,104,-213c68.7,-142,137.5,-285,206.5,-429\nc69,-144,104.5,-217.7,106.5,-221\nl0 -0\nc5.3,-9.3,12,-14,20,-14\nH400000v40H845.2724\ns-225.272,467,-225.272,467s-235,486,-235,486c-2.7,4.7,-9,7,-19,7\nc-6,0,-10,-1,-12,-3s-194,-422,-194,-422s-65,47,-65,47z\nM834 80h400000v40h-400000z",[576,2954,758],{"className":2955},[757],[576,2957,2959],{"className":2958},[701],[576,2960,2963],{"className":2961,"style":2962},[705],"height:0.0839em;",[576,2964],{},[576,2966],{"className":2967,"style":646},[645],[576,2969,2014],{"className":2970},[650],[576,2972],{"className":2973,"style":646},[645],[576,2975,2977,2980,2983,2989,2993,2996,3000,3003,3006,3009,3012],{"className":2976},[630],[576,2978],{"className":2979,"style":869},[634],[576,2981,605],{"className":2982},[639],[576,2984,2986],{"className":2985},[639],[576,2987,880],{"className":2988},[879],[576,2990,2992],{"className":2991},[639],"0718",[576,2994,880],{"className":2995},[879],[576,2997],{"className":2998,"style":2999},[645],"margin-right:2em;",[576,3001],{"className":3002,"style":815},[645],[576,3004,565],{"className":3005},[639,640],[576,3007],{"className":3008,"style":646},[645],[576,3010,2014],{"className":3011},[650],[576,3013],{"className":3014,"style":646},[645],[576,3016,3018,3021,3025,3031,3035,3038],{"className":3017},[630],[576,3019],{"className":3020,"style":2346},[634],[576,3022,3024],{"className":3023},[639],"7",[576,3026,3028],{"className":3027},[639],[576,3029,880],{"className":3030},[879],[576,3032,3034],{"className":3033},[639],"18",[576,3036],{"className":3037,"style":815},[645],[576,3039,795],{"className":3040},[639],[560,3042,3044],{"id":3043},"typische-fehler","Typische Fehler",[924,3046,3047,3216,3316,3377],{},[927,3048,3049,3050,819,3088,3147,3148,3187,3188,885],{},"Den Zinssatz falsch einsetzen: Bei ",[576,3051,3053,3070],{"className":3052},[579],[576,3054,3056],{"className":3055},[583],[585,3057,3058],{"xmlns":587},[589,3059,3060,3068],{},[592,3061,3062,3064,3066],{},[603,3063,787],{},[789,3065,791],{},[595,3067,795],{"mathvariant":794},[618,3069,798],{"encoding":620},[576,3071,3073],{"className":3072,"ariaHidden":626},[625],[576,3074,3076,3079,3082,3085],{"className":3075},[630],[576,3077],{"className":3078,"style":808},[634],[576,3080,787],{"className":3081},[639],[576,3083],{"className":3084,"style":815},[645],[576,3086,795],{"className":3087},[639],[576,3089,3091,3108],{"className":3090},[579],[576,3092,3094],{"className":3093},[583],[585,3095,3096],{"xmlns":587},[589,3097,3098,3106],{},[592,3099,3100,3102,3104],{},[595,3101,597],{},[599,3103,601],{},[603,3105,838],{},[618,3107,841],{"encoding":620},[576,3109,3111,3129],{"className":3110,"ariaHidden":626},[625],[576,3112,3114,3117,3120,3123,3126],{"className":3113},[630],[576,3115],{"className":3116,"style":635},[634],[576,3118,597],{"className":3119,"style":641},[639,640],[576,3121],{"className":3122,"style":646},[645],[576,3124,601],{"className":3125},[650],[576,3127],{"className":3128,"style":646},[645],[576,3130,3132,3135,3138,3144],{"className":3131},[630],[576,3133],{"className":3134,"style":869},[634],[576,3136,605],{"className":3137},[639],[576,3139,3141],{"className":3140},[639],[576,3142,880],{"className":3143},[879],[576,3145,884],{"className":3146},[639],", nicht ",[576,3149,3151,3166],{"className":3150},[579],[576,3152,3154],{"className":3153},[583],[585,3155,3156],{"xmlns":587},[589,3157,3158,3163],{},[592,3159,3160],{},[603,3161,3162],{},"1,3",[618,3164,3165],{"encoding":620},"1{,}3",[576,3167,3169],{"className":3168,"ariaHidden":626},[625],[576,3170,3172,3175,3178,3184],{"className":3171},[630],[576,3173],{"className":3174,"style":869},[634],[576,3176,605],{"className":3177},[639],[576,3179,3181],{"className":3180},[639],[576,3182,880],{"className":3183},[879],[576,3185,787],{"className":3186},[639]," und nicht ",[576,3189,3191,3204],{"className":3190},[579],[576,3192,3194],{"className":3193},[583],[585,3195,3196],{"xmlns":587},[589,3197,3198,3202],{},[592,3199,3200],{},[603,3201,787],{},[618,3203,787],{"encoding":620},[576,3205,3207],{"className":3206,"ariaHidden":626},[625],[576,3208,3210,3213],{"className":3209},[630],[576,3211],{"className":3212,"style":1555},[634],[576,3214,787],{"className":3215},[639],[927,3217,3218,3219,3315],{},"Einfache Zinsen rechnen: ",[576,3220,3222,3249],{"className":3221},[579],[576,3223,3225],{"className":3224},[583],[585,3226,3227],{"xmlns":587},[589,3228,3229,3246],{},[592,3230,3231,3233,3235,3237,3239,3241,3243],{},[603,3232,1892],{},[599,3234,608],{},[603,3236,1922],{},[599,3238,1510],{},[603,3240,2254],{},[599,3242,601],{},[603,3244,3245],{},"2300",[618,3247,3248],{"encoding":620},"2000 + 5 \\cdot 60 = 2300",[576,3250,3252,3270,3288,3306],{"className":3251,"ariaHidden":626},[625],[576,3253,3255,3258,3261,3264,3267],{"className":3254},[630],[576,3256],{"className":3257,"style":660},[634],[576,3259,1892],{"className":3260},[639],[576,3262],{"className":3263,"style":667},[645],[576,3265,608],{"className":3266},[671],[576,3268],{"className":3269,"style":667},[645],[576,3271,3273,3276,3279,3282,3285],{"className":3272},[630],[576,3274],{"className":3275,"style":1555},[634],[576,3277,1922],{"className":3278},[639],[576,3280],{"className":3281,"style":667},[645],[576,3283,1510],{"className":3284},[671],[576,3286],{"className":3287,"style":667},[645],[576,3289,3291,3294,3297,3300,3303],{"className":3290},[630],[576,3292],{"className":3293,"style":1555},[634],[576,3295,2254],{"className":3296},[639],[576,3298],{"className":3299,"style":646},[645],[576,3301,601],{"className":3302},[650],[576,3304],{"className":3305,"style":646},[645],[576,3307,3309,3312],{"className":3308},[630],[576,3310],{"className":3311,"style":1555},[634],[576,3313,3245],{"className":3314},[639]," € ignoriert, dass auch die Zinsen verzinst werden.",[927,3317,3318,3319,3347,3348,3376],{},"Monate statt Jahre für ",[576,3320,3322,3335],{"className":3321},[579],[576,3323,3325],{"className":3324},[583],[585,3326,3327],{"xmlns":587},[589,3328,3329,3333],{},[592,3330,3331],{},[595,3332,903],{},[618,3334,903],{"encoding":620},[576,3336,3338],{"className":3337,"ariaHidden":626},[625],[576,3339,3341,3344],{"className":3340},[630],[576,3342],{"className":3343,"style":915},[634],[576,3345,903],{"className":3346},[639,640]," einsetzen, obwohl ",[576,3349,3351,3364],{"className":3350},[579],[576,3352,3354],{"className":3353},[583],[585,3355,3356],{"xmlns":587},[589,3357,3358,3362],{},[592,3359,3360],{},[595,3361,565],{},[618,3363,565],{"encoding":620},[576,3365,3367],{"className":3366,"ariaHidden":626},[625],[576,3368,3370,3373],{"className":3369},[630],[576,3371],{"className":3372,"style":635},[634],[576,3374,565],{"className":3375},[639,640]," ein Jahreszinssatz ist.",[927,3378,3379,3380,3441],{},"Beim Anfangskapital mit ",[576,3381,3383,3401],{"className":3382},[579],[576,3384,3386],{"className":3385},[583],[585,3387,3388],{"xmlns":587},[589,3389,3390,3398],{},[592,3391,3392],{},[962,3393,3394,3396],{},[595,3395,597],{},[595,3397,903],{},[618,3399,3400],{"encoding":620},"q^n",[576,3402,3404],{"className":3403,"ariaHidden":626},[625],[576,3405,3407,3411],{"className":3406},[630],[576,3408],{"className":3409,"style":3410},[634],"height:0.8588em;vertical-align:-0.1944em;",[576,3412,3414,3417],{"className":3413},[639],[576,3415,597],{"className":3416,"style":641},[639,640],[576,3418,3420],{"className":3419},[991],[576,3421,3423],{"className":3422},[696],[576,3424,3426],{"className":3425},[701],[576,3427,3430],{"className":3428,"style":3429},[705],"height:0.6644em;",[576,3431,3432,3435],{"style":2772},[576,3433],{"className":3434,"style":1008},[713],[576,3436,3438],{"className":3437},[718,719,720,721],[576,3439,903],{"className":3440},[639,640,721]," multiplizieren statt dividieren.",{"title":3443,"searchDepth":3444,"depth":3444,"links":3445},"",2,[3446,3447,3448],{"id":562,"depth":3444,"text":563},{"id":1874,"depth":3444,"text":1875},{"id":3043,"depth":3444,"text":3044},[3450,3453,3460,3463,3466,3468,3471,3473],{"lhs":3451,"rhs":3452},"K0*(1 + p\u002F100)^(n + 1)","K0*(1 + p\u002F100)^n + K0*(1 + p\u002F100)^n * p\u002F100",{"lhs":3454,"rhs":3455,"where":3456},"K0*(1 + p\u002F100)^n","2000*1.03^5",{"K0":3457,"p":3458,"n":3459},2000,3,5,{"lhs":3461,"rhs":3462},"round(2000*1.03^5, 2)","2318.55",{"lhs":3464,"rhs":3465},"round(2000*1.03^5 - 2000, 2)","318.55",{"lhs":3467,"rhs":3245},"2000 + 5*2000*3\u002F100",{"lhs":3469,"rhs":3470},"round(5000\u002F1.025^4, 2)","4529.75",{"lhs":3472,"rhs":2350},"(1 + (100*(2^(1\u002F10) - 1))\u002F100)^10",{"lhs":3474,"rhs":3475},"round(100*(2^(1\u002F10) - 1), 2)","7.18",null,"md","compound-interest","K_n = K_0 \\cdot \\left(1 + \\frac{p}{100}\\right)^n","\u003Cspan class=\"katex-display\">\u003Cspan class=\"katex\">\u003Cspan class=\"katex-mathml\">\u003Cmath xmlns=\"http:\u002F\u002Fwww.w3.org\u002F1998\u002FMath\u002FMathML\" display=\"block\">\u003Csemantics>\u003Cmrow>\u003Cmsub>\u003Cmi>K\u003C\u002Fmi>\u003Cmi>n\u003C\u002Fmi>\u003C\u002Fmsub>\u003Cmo>=\u003C\u002Fmo>\u003Cmsub>\u003Cmi>K\u003C\u002Fmi>\u003Cmn>0\u003C\u002Fmn>\u003C\u002Fmsub>\u003Cmo>⋅\u003C\u002Fmo>\u003Cmsup>\u003Cmrow>\u003Cmo fence=\"true\">(\u003C\u002Fmo>\u003Cmn>1\u003C\u002Fmn>\u003Cmo>+\u003C\u002Fmo>\u003Cmfrac>\u003Cmi>p\u003C\u002Fmi>\u003Cmn>100\u003C\u002Fmn>\u003C\u002Fmfrac>\u003Cmo fence=\"true\">)\u003C\u002Fmo>\u003C\u002Fmrow>\u003Cmi>n\u003C\u002Fmi>\u003C\u002Fmsup>\u003C\u002Fmrow>\u003Cannotation encoding=\"application\u002Fx-tex\">K_n = K_0 \\cdot \\left(1 + \\frac{p}{100}\\right)^n\u003C\u002Fannotation>\u003C\u002Fsemantics>\u003C\u002Fmath>\u003C\u002Fspan>\u003Cspan class=\"katex-html\" aria-hidden=\"true\">\u003Cspan class=\"katex-base\">\u003Cspan class=\"katex-strut\" style=\"height:0.8333em;vertical-align:-0.15em;\">\u003C\u002Fspan>\u003Cspan class=\"mord\">\u003Cspan class=\"mord mathnormal\" style=\"margin-right:0.0715em;\">K\u003C\u002Fspan>\u003Cspan class=\"msupsub\">\u003Cspan class=\"vlist-t vlist-t2\">\u003Cspan class=\"vlist-r\">\u003Cspan class=\"vlist\" style=\"height:0.1514em;\">\u003Cspan style=\"top:-2.55em;margin-left:-0.0715em;margin-right:0.05em;\">\u003Cspan class=\"pstrut\" style=\"height:2.7em;\">\u003C\u002Fspan>\u003Cspan class=\"katex-sizing reset-size6 size3 mtight\">\u003Cspan class=\"mord mathnormal mtight\">n\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003Cspan class=\"vlist-s\">​\u003C\u002Fspan>\u003C\u002Fspan>\u003Cspan class=\"vlist-r\">\u003Cspan class=\"vlist\" style=\"height:0.15em;\">\u003Cspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003Cspan class=\"mspace\" style=\"margin-right:0.2778em;\">\u003C\u002Fspan>\u003Cspan class=\"mrel\">=\u003C\u002Fspan>\u003Cspan class=\"mspace\" style=\"margin-right:0.2778em;\">\u003C\u002Fspan>\u003C\u002Fspan>\u003Cspan class=\"katex-base\">\u003Cspan class=\"katex-strut\" style=\"height:0.8333em;vertical-align:-0.15em;\">\u003C\u002Fspan>\u003Cspan class=\"mord\">\u003Cspan class=\"mord mathnormal\" style=\"margin-right:0.0715em;\">K\u003C\u002Fspan>\u003Cspan class=\"msupsub\">\u003Cspan class=\"vlist-t vlist-t2\">\u003Cspan class=\"vlist-r\">\u003Cspan class=\"vlist\" style=\"height:0.3011em;\">\u003Cspan style=\"top:-2.55em;margin-left:-0.0715em;margin-right:0.05em;\">\u003Cspan class=\"pstrut\" style=\"height:2.7em;\">\u003C\u002Fspan>\u003Cspan class=\"katex-sizing reset-size6 size3 mtight\">\u003Cspan class=\"mord mtight\">0\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003Cspan class=\"vlist-s\">​\u003C\u002Fspan>\u003C\u002Fspan>\u003Cspan class=\"vlist-r\">\u003Cspan class=\"vlist\" style=\"height:0.15em;\">\u003Cspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003Cspan class=\"mspace\" style=\"margin-right:0.2222em;\">\u003C\u002Fspan>\u003Cspan class=\"mbin\">⋅\u003C\u002Fspan>\u003Cspan class=\"mspace\" style=\"margin-right:0.2222em;\">\u003C\u002Fspan>\u003C\u002Fspan>\u003Cspan class=\"katex-base\">\u003Cspan class=\"katex-strut\" style=\"height:1.8903em;vertical-align:-0.686em;\">\u003C\u002Fspan>\u003Cspan class=\"minner\">\u003Cspan class=\"minner\">\u003Cspan class=\"mopen delimcenter\" style=\"top:0em;\">\u003Cspan class=\"delimsizing size2\">(\u003C\u002Fspan>\u003C\u002Fspan>\u003Cspan class=\"mord\">1\u003C\u002Fspan>\u003Cspan class=\"mspace\" style=\"margin-right:0.2222em;\">\u003C\u002Fspan>\u003Cspan class=\"mbin\">+\u003C\u002Fspan>\u003Cspan class=\"mspace\" style=\"margin-right:0.2222em;\">\u003C\u002Fspan>\u003Cspan class=\"mord\">\u003Cspan class=\"mopen nulldelimiter\">\u003C\u002Fspan>\u003Cspan class=\"mfrac\">\u003Cspan class=\"vlist-t vlist-t2\">\u003Cspan class=\"vlist-r\">\u003Cspan class=\"vlist\" style=\"height:1.1076em;\">\u003Cspan style=\"top:-2.314em;\">\u003Cspan class=\"pstrut\" style=\"height:3em;\">\u003C\u002Fspan>\u003Cspan class=\"mord\">\u003Cspan class=\"mord\">100\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003Cspan style=\"top:-3.23em;\">\u003Cspan class=\"pstrut\" style=\"height:3em;\">\u003C\u002Fspan>\u003Cspan class=\"frac-line\" style=\"border-bottom-width:0.04em;\">\u003C\u002Fspan>\u003C\u002Fspan>\u003Cspan style=\"top:-3.677em;\">\u003Cspan class=\"pstrut\" style=\"height:3em;\">\u003C\u002Fspan>\u003Cspan class=\"mord\">\u003Cspan class=\"mord mathnormal\">p\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003Cspan class=\"vlist-s\">​\u003C\u002Fspan>\u003C\u002Fspan>\u003Cspan class=\"vlist-r\">\u003Cspan class=\"vlist\" style=\"height:0.686em;\">\u003Cspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003Cspan class=\"mclose nulldelimiter\">\u003C\u002Fspan>\u003C\u002Fspan>\u003Cspan class=\"mclose delimcenter\" style=\"top:0em;\">\u003Cspan class=\"delimsizing size2\">)\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003Cspan class=\"msupsub\">\u003Cspan class=\"vlist-t\">\u003Cspan class=\"vlist-r\">\u003Cspan class=\"vlist\" style=\"height:1.2043em;\">\u003Cspan style=\"top:-3.6029em;margin-right:0.05em;\">\u003Cspan class=\"pstrut\" style=\"height:2.7em;\">\u003C\u002Fspan>\u003Cspan class=\"katex-sizing reset-size6 size3 mtight\">\u003Cspan class=\"mord mathnormal mtight\">n\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>","middle",{},true,"\u002Fde\u002Fformulas\u002Fmath\u002Ffunctions\u002Fzinseszins",[],[3487,3488,3489],"exponential-growth","exponential-function","log-definition",{"title":548,"description":3443},"de\u002Fformulas\u002Fmath\u002Ffunctions\u002Fzinseszins","Werden Zinsen jedes Jahr mitverzinst, wächst ein Kapital K₀ in n Jahren auf K₀ · (1 + p\u002F100)ⁿ.",[3494,3495,3496,3497,3498],"zinsen","zinseszins","kapital","prozent","exponentielles wachstum",[3500,3503,3507,3510],{"symbol":3501,"meaning":553,"symbolHtml":3502},"K_n","\u003Cspan class=\"katex\">\u003Cspan class=\"katex-mathml\">\u003Cmath xmlns=\"http:\u002F\u002Fwww.w3.org\u002F1998\u002FMath\u002FMathML\">\u003Csemantics>\u003Cmrow>\u003Cmsub>\u003Cmi>K\u003C\u002Fmi>\u003Cmi>n\u003C\u002Fmi>\u003C\u002Fmsub>\u003C\u002Fmrow>\u003Cannotation encoding=\"application\u002Fx-tex\">K_n\u003C\u002Fannotation>\u003C\u002Fsemantics>\u003C\u002Fmath>\u003C\u002Fspan>\u003Cspan class=\"katex-html\" aria-hidden=\"true\">\u003Cspan class=\"katex-base\">\u003Cspan class=\"katex-strut\" style=\"height:0.8333em;vertical-align:-0.15em;\">\u003C\u002Fspan>\u003Cspan class=\"mord\">\u003Cspan class=\"mord mathnormal\" style=\"margin-right:0.0715em;\">K\u003C\u002Fspan>\u003Cspan class=\"msupsub\">\u003Cspan class=\"vlist-t vlist-t2\">\u003Cspan class=\"vlist-r\">\u003Cspan class=\"vlist\" style=\"height:0.1514em;\">\u003Cspan style=\"top:-2.55em;margin-left:-0.0715em;margin-right:0.05em;\">\u003Cspan class=\"pstrut\" style=\"height:2.7em;\">\u003C\u002Fspan>\u003Cspan class=\"katex-sizing reset-size6 size3 mtight\">\u003Cspan class=\"mord mathnormal mtight\">n\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003Cspan class=\"vlist-s\">​\u003C\u002Fspan>\u003C\u002Fspan>\u003Cspan class=\"vlist-r\">\u003Cspan class=\"vlist\" style=\"height:0.15em;\">\u003Cspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>",{"symbol":3504,"meaning":3505,"symbolHtml":3506},"K_0","Anfangskapital","\u003Cspan class=\"katex\">\u003Cspan class=\"katex-mathml\">\u003Cmath xmlns=\"http:\u002F\u002Fwww.w3.org\u002F1998\u002FMath\u002FMathML\">\u003Csemantics>\u003Cmrow>\u003Cmsub>\u003Cmi>K\u003C\u002Fmi>\u003Cmn>0\u003C\u002Fmn>\u003C\u002Fmsub>\u003C\u002Fmrow>\u003Cannotation encoding=\"application\u002Fx-tex\">K_0\u003C\u002Fannotation>\u003C\u002Fsemantics>\u003C\u002Fmath>\u003C\u002Fspan>\u003Cspan class=\"katex-html\" aria-hidden=\"true\">\u003Cspan class=\"katex-base\">\u003Cspan class=\"katex-strut\" style=\"height:0.8333em;vertical-align:-0.15em;\">\u003C\u002Fspan>\u003Cspan class=\"mord\">\u003Cspan class=\"mord mathnormal\" style=\"margin-right:0.0715em;\">K\u003C\u002Fspan>\u003Cspan class=\"msupsub\">\u003Cspan class=\"vlist-t vlist-t2\">\u003Cspan class=\"vlist-r\">\u003Cspan class=\"vlist\" style=\"height:0.3011em;\">\u003Cspan style=\"top:-2.55em;margin-left:-0.0715em;margin-right:0.05em;\">\u003Cspan class=\"pstrut\" style=\"height:2.7em;\">\u003C\u002Fspan>\u003Cspan class=\"katex-sizing reset-size6 size3 mtight\">\u003Cspan class=\"mord mtight\">0\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003Cspan class=\"vlist-s\">​\u003C\u002Fspan>\u003C\u002Fspan>\u003Cspan class=\"vlist-r\">\u003Cspan class=\"vlist\" 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