In: Finance
(Future value) To what amount will $ 4800 invested for 8 years at 9 percent compounded annually accumulate? $4800 invested for 8 years at 9 percent compounded annually will accumulate to $ _____ (Round to the nearest cent.)
A =P(1+r/n)nt | |||||||||
A = | Future value of the investment | ||||||||
P= | the principal investment amount (the initial deposit or loan amount) | ||||||||
r = | the annual interest rate (decimal) | ||||||||
n = | the number of times that interest is compounded per year | ||||||||
t = | the number of years the money is invested or borrowed for | ||||||||
A | = | ? | |||||||
P | = | 4,800 | |||||||
r | = | 9.0% | or | 0.09 | |||||
n | = | 1 | Per Year | ||||||
t | = | 8 | Years | ||||||
Total Compounding period | = | 8 | Times | ||||||
A | = | P | ( | 1 | + | r | / | n | )nt |
A | = | $ 4,800 | ( | 1 | + | 0.090 | / | 1 | ) 1 x 8 |
A | = | $ 4,800 | ( | 1 | + | 0.090 | / | 1 | ) 8 |
A | = | $ 4,800 | ( | 1 | + | 0.0900 | ) 8 | ||
A | = | $ 4,800 | ( | 1.0900 | ) 8 | ||||
A | = | $ 4,800 | * | 1.9926 | |||||
A | = | $ 9,564.30 | |||||||
Answer = $ 9,564.30 | |||||||||