If Bob deposits $5000 at the end of each year for in an account paying 6% interest compounded annually, find the amount he will have on deposit.

Respuesta :

Answer:

future value = 5000 × [tex]\frac{(1+0.06)^t -1}{0.06}[/tex]

if time 14 year than

future value = $105075.33

Explanation:

given data

principal = $5000

interest rate  = 6% compounded annually = 0.06

to find out

deposit amount

solution

we here assume time period = t

so we apply here future value formula that is

future value = principal  × [tex]\frac{(1+r)^t -1}{r}[/tex]   ................1

put here value we get , future value

future value = 5000 × [tex]\frac{(1+0.06)^t -1}{0.06}[/tex]

so if time period is 14 year put value of t = 14

future value = 5000 × [tex]\frac{(1.06)^14 -1}{0.06}[/tex]

future value = $105075.33