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In: Finance

You deposit $1969.55 in an account today. You will deposit $566.09 at the end of each...

You deposit $1969.55 in an account today. You will deposit $566.09 at the end of each month for the next 12 months and $946.03 each month for the following 13 months. How much interest will you have earned in 25 months if the account pays 5% compounded monthly?

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Expert Solution

Month Beginning balance Interest Contribution Ending balance
0 $ 1,969.5500 $   1,969.5500
1 $   1,969.5500 $           8.2065 $    566.0900 $   2,543.8465
2 $   2,543.8465 $         10.5994 $    566.0900 $   3,120.5358
3 $   3,120.5358 $         13.0022 $    566.0900 $   3,699.6281
4 $   3,699.6281 $         15.4151 $    566.0900 $   4,281.1332
5 $   4,281.1332 $         17.8381 $    566.0900 $   4,865.0612
6 $   4,865.0612 $         20.2711 $    566.0900 $   5,451.4223
7 $   5,451.4223 $         22.7143 $    566.0900 $   6,040.2266
8 $   6,040.2266 $         25.1676 $    566.0900 $   6,631.4842
9 $   6,631.4842 $         27.6312 $    566.0900 $   7,225.2054
10 $   7,225.2054 $         30.1050 $    566.0900 $   7,821.4004
11 $   7,821.4004 $         32.5892 $    566.0900 $   8,420.0796
12 $   8,420.0796 $         35.0837 $    566.0900 $   9,021.2532
13 $   9,021.2532 $         37.5886 $    946.0300 $ 10,004.8718
14 $ 10,004.8718 $         41.6870 $    946.0300 $ 10,992.5887
15 $ 10,992.5887 $         45.8025 $    946.0300 $ 11,984.4212
16 $ 11,984.4212 $         49.9351 $    946.0300 $ 12,980.3863
17 $ 12,980.3863 $         54.0849 $    946.0300 $ 13,980.5012
18 $ 13,980.5012 $         58.2521 $    946.0300 $ 14,984.7833
19 $ 14,984.7833 $         62.4366 $    946.0300 $ 15,993.2499
20 $ 15,993.2499 $         66.6385 $    946.0300 $ 17,005.9185
21 $ 17,005.9185 $         70.8580 $    946.0300 $ 18,022.8064
22 $ 18,022.8064 $         75.0950 $    946.0300 $ 19,043.9315
23 $ 19,043.9315 $         79.3497 $    946.0300 $ 20,069.3112
24 $ 20,069.3112 $         83.6221 $    946.0300 $ 21,098.9633
25 $ 21,098.9633 $         87.9123 $    946.0300 $ 22,132.9057
Total $   1,071.8857

Interest is beginning balance X 5%/12

Total interest is $1,071.89

Please rate.


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