Question

In: Accounting

You have just entered college and have decided to pay for your living expenses using a...

You have just entered college and have decided to pay for your living expenses using a credit card that has no minimum monthly payment. You intend to charge $900 per month on the card for the next 45 months. The card carries a monthly interest rate of 0.9 %.

How much money will you owe on the card 46 months from​ now, when you receive your first statement​ post-graduation?

After 45 months you will owe $____. (Round to the nearest cent)

Solutions

Expert Solution

Months Amount paid Interest @ 0.9 % Per months Cumulative Value (Amount paid + Interest)
1 $          900.00 $                    0.81 $                       900.81
2 $          900.00 $                    1.62 $                   1,802.43
3 $          900.00 $                    2.43 $                   2,704.86
4 $          900.00 $                    3.24 $                   3,608.11
5 $          900.00 $                    4.06 $                   4,512.16
6 $          900.00 $                    4.87 $                   5,417.04
7 $          900.00 $                    5.69 $                   6,322.72
8 $          900.00 $                    6.50 $                   7,229.22
9 $          900.00 $                    7.32 $                   8,136.54
10 $          900.00 $                    8.13 $                   9,044.67
11 $          900.00 $                    8.95 $                   9,953.62
12 $          900.00 $                    9.77 $                 10,863.39
13 $          900.00 $                  10.59 $                 11,773.98
14 $          900.00 $                  11.41 $                 12,685.38
15 $          900.00 $                  12.23 $                 13,597.61
16 $          900.00 $                  13.05 $                 14,510.66
17 $          900.00 $                  13.87 $                 15,424.53
18 $          900.00 $                  14.69 $                 16,339.22
19 $          900.00 $                  15.52 $                 17,254.73
20 $          900.00 $                  16.34 $                 18,171.07
21 $          900.00 $                  17.16 $                 19,088.24
22 $          900.00 $                  17.99 $                 20,006.23
23 $          900.00 $                  18.82 $                 20,925.04
24 $          900.00 $                  19.64 $                 21,844.69
25 $          900.00 $                  20.47 $                 22,765.16
26 $          900.00 $                  21.30 $                 23,686.45
27 $          900.00 $                  22.13 $                 24,608.58
28 $          900.00 $                  22.96 $                 25,531.54
29 $          900.00 $                  23.79 $                 26,455.33
30 $          900.00 $                  24.62 $                 27,379.95
31 $          900.00 $                  25.45 $                 28,305.40
32 $          900.00 $                  26.28 $                 29,231.68
33 $          900.00 $                  27.12 $                 30,158.80
34 $          900.00 $                  27.95 $                 31,086.76
35 $          900.00 $                  28.79 $                 32,015.54
36 $          900.00 $                  29.62 $                 32,945.17
37 $          900.00 $                  30.46 $                 33,875.63
38 $          900.00 $                  31.30 $                 34,806.93
39 $          900.00 $                  32.14 $                 35,739.06
40 $          900.00 $                  32.98 $                 36,672.04
41 $          900.00 $                  33.81 $                 37,605.85
42 $          900.00 $                  34.66 $                 38,540.51
43 $          900.00 $                  35.50 $                 39,476.00
44 $          900.00 $                  36.34 $                 40,412.34
45 $          900.00 $                  37.18 $                 41,349.52
Answer= $    41,349.52
Note: Interest on the first month is charged on opening balance
and after that on cumulative balance in last coloumn

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