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Ms. Montgomery invested $800 at 8% simple interest at the beginning of each year for a period of ten years. Find the total accumulated value of all the investments at the end of the 10-year period.

 Apr 23, 2022
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Ms. Montgomery invested $800 at 8% simple interest at the beginning of each year for a period of ten years. Find the total accumulated value of all the investments at the end of the 10-year period.     

 

Beginning year balance           End of year balance     

  1st yr               800.00            1.08 •   800.00 =    864.00     

  2nd yr              864.00            1.08 •   864.00 =    933.12     

  3rd yr               933.12            1.08 •   933.12 =  1007.77     

  4th yr             1007.77            1.08 • 1007.77 =  1088.39     

  5th yr             1088.39            1.08 • 1088.39 =  1175.46     

  6th yr             1175.46            1.08 • 1175.46 =  1269.50     

  7th yr             1269.50            1.08 • 1269.50 =  1371.06     

  8th yr             1371.06            1.08 • 1371.06 =  1480.74     

  9th yr             1480.74            1.08 • 1480.74 =  1599.20     

10th yr             1599.20            1.08 • 1599.20 =  1727.14     

 

Another way to calculate the final balance would be 800 • 1.0810  =  1727.14     

.     

 Oct 11, 2025

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