# Interest 6047

Mr. Demikát took out a loan worth 5,000 euros from the bank with an interest rate of 12 percent. How many months will it repay if the monthly payment is 80 euros?

n =  96

### Step-by-step explanation:

a = 5000 Eur
p = 12 %
s = 80 Eur
q = 1+12/100^(1/12) = 1.0094887929346

d1 = 5000 * q - 80 = 4967.44 Eur
d2 = 4967.44 * q - 80 = 4934.58 Eur
d3 = 4934.58 * q - 80 = 4901.4 Eur
d4 = 4901.4 * q - 80 = 4867.91 Eur
d5 = 4867.91 * q - 80 = 4834.1 Eur
d6 = 4834.1 * q - 80 = 4799.97 Eur
d7 = 4799.97 * q - 80 = 4765.52 Eur
d8 = 4765.52 * q - 80 = 4730.74 Eur
d9 = 4730.74 * q - 80 = 4695.63 Eur
d10 = 4695.63 * q - 80 = 4660.19 Eur
d11 = 4660.19 * q - 80 = 4624.41 Eur
d12 = 4624.41 * q - 80 = 4588.29 Eur
d13 = 4588.29 * q - 80 = 4551.83 Eur
d14 = 4551.83 * q - 80 = 4515.02 Eur
d15 = 4515.02 * q - 80 = 4477.86 Eur
d16 = 4477.86 * q - 80 = 4440.35 Eur
d17 = 4440.35 * q - 80 = 4402.48 Eur
d18 = 4402.48 * q - 80 = 4364.25 Eur
d19 = 4364.25 * q - 80 = 4325.66 Eur
d20 = 4325.66 * q - 80 = 4286.71 Eur
d21 = 4286.71 * q - 80 = 4247.39 Eur
d22 = 4247.39 * q - 80 = 4207.69 Eur
d23 = 4207.69 * q - 80 = 4167.62 Eur
d24 = 4167.62 * q - 80 = 4127.17 Eur
d25 = 4127.17 * q - 80 = 4086.33 Eur
d26 = 4086.33 * q - 80 = 4045.1 Eur
d27 = 4045.1 * q - 80 = 4003.48 Eur
d28 = 4003.48 * q - 80 = 3961.47 Eur
d29 = 3961.47 * q - 80 = 3919.06 Eur
d30 = 3919.06 * q - 80 = 3876.25 Eur
d31 = 3876.25 * q - 80 = 3833.03 Eur
d32 = 3833.03 * q - 80 = 3789.4 Eur
d33 = 3789.4 * q - 80 = 3745.36 Eur
d34 = 3745.36 * q - 80 = 3700.9 Eur
d35 = 3700.9 * q - 80 = 3656.02 Eur
d36 = 3656.02 * q - 80 = 3610.71 Eur
d37 = 3610.71 * q - 80 = 3564.97 Eur
d38 = 3564.97 * q - 80 = 3518.8 Eur
d39 = 3518.8 * q - 80 = 3472.19 Eur
d40 = 3472.19 * q - 80 = 3425.14 Eur
d41 = 3425.14 * q - 80 = 3377.64 Eur
d42 = 3377.64 * q - 80 = 3329.69 Eur
d43 = 3329.69 * q - 80 = 3281.28 Eur
d44 = 3281.28 * q - 80 = 3232.42 Eur
d45 = 3232.42 * q - 80 = 3183.09 Eur
d46 = 3183.09 * q - 80 = 3133.29 Eur
d47 = 3133.29 * q - 80 = 3083.02 Eur
d48 = 3083.02 * q - 80 = 3032.27 Eur
d49 = 3032.27 * q - 80 = 2981.04 Eur
d50 = 2981.04 * q - 80 = 2929.33 Eur
d51 = 2929.33 * q - 80 = 2877.13 Eur
d52 = 2877.13 * q - 80 = 2824.43 Eur
d53 = 2824.43 * q - 80 = 2771.23 Eur
d54 = 2771.23 * q - 80 = 2717.53 Eur
d55 = 2717.53 * q - 80 = 2663.32 Eur
d56 = 2663.32 * q - 80 = 2608.59 Eur
d57 = 2608.59 * q - 80 = 2553.34 Eur
d58 = 2553.34 * q - 80 = 2497.57 Eur
d59 = 2497.57 * q - 80 = 2441.27 Eur
d60 = 2441.27 * q - 80 = 2384.43 Eur
d61 = 2384.43 * q - 80 = 2327.06 Eur
d62 = 2327.06 * q - 80 = 2269.14 Eur
d63 = 2269.14 * q - 80 = 2210.67 Eur
d64 = 2210.67 * q - 80 = 2151.65 Eur
d65 = 2151.65 * q - 80 = 2092.07 Eur
d66 = 2092.07 * q - 80 = 2031.92 Eur
d67 = 2031.92 * q - 80 = 1971.2 Eur
d68 = 1971.2 * q - 80 = 1909.9 Eur
d69 = 1909.9 * q - 80 = 1848.02 Eur
d70 = 1848.02 * q - 80 = 1785.56 Eur
d71 = 1785.56 * q - 80 = 1722.5 Eur
d72 = 1722.5 * q - 80 = 1658.84 Eur
d73 = 1658.84 * q - 80 = 1594.58 Eur
d74 = 1594.58 * q - 80 = 1529.71 Eur
d75 = 1529.71 * q - 80 = 1464.23 Eur
d76 = 1464.23 * q - 80 = 1398.12 Eur
d77 = 1398.12 * q - 80 = 1331.39 Eur
d78 = 1331.39 * q - 80 = 1264.02 Eur
d79 = 1264.02 * q - 80 = 1196.01 Eur
d80 = 1196.01 * q - 80 = 1127.36 Eur
d81 = 1127.36 * q - 80 = 1058.06 Eur
d82 = 1058.06 * q - 80 = 988.1 Eur
d83 = 988.1 * q - 80 = 917.48 Eur
d84 = 917.48 * q - 80 = 846.19 Eur
d85 = 846.19 * q - 80 = 774.22 Eur
d86 = 774.22 * q - 80 = 701.57 Eur
d87 = 701.57 * q - 80 = 628.23 Eur
d88 = 628.23 * q - 80 = 554.19 Eur
d89 = 554.19 * q - 80 = 479.45 Eur
d90 = 479.45 * q - 80 = 404 Eur
d91 = 404 * q - 80 = 327.83 Eur
d92 = 327.83 * q - 80 = 250.94 Eur
d93 = 250.94 * q - 80 = 173.32 Eur
d94 = 173.32 * q - 80 = 94.96 Eur
d95 = 94.96 * q - 80 = 15.86 Eur
d96 = 15.86 * q - 80 = -63.99 Eur Did you find an error or inaccuracy? Feel free to write us. Thank you!

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