Rebecca is currently working, but is planning to start a college in few years. For this purpose, she would need $20,000. Today she can start investing $750 monthly in an investment account that pays 6 percent compounded monthly. How long would it take her to have enough money to start college?

Respuesta :

Answer:

It will take 25 years her to have enough money to start college.

Explanation:

Use Annuity future value To calculate the period.

AFV = P [ ((( 1 + i )^n ) - 1 ) / i]

$20,000 = $750 [ ((( 1 + 0.06 )^n ) - 1 ) / 0.06 ]

($20,000 x 0.06 ) / 750 = ( 1.06 )^n ) - 1  

1.6 = 1.06^n

log 1.6 = n log 1.06

n = log 1.6 / log 1.06

n = 25 years

So, It will take 25 years her to have enough money to start college.