Ralph invested in a mutual fund and at the end of 20 years he has $14,300 in his account. If the mutual fund returned an average yield of 8%, how much did he originally invest?

Respuesta :

Answer:

[tex]\$5,500[/tex]

Step-by-step explanation:

we know that

The simple interest formula is equal to

[tex]A=P(1+rt)[/tex]

where

A is the Final Investment Value

P is the Principal amount of money to be invested

r is the rate of interest  

t is Number of Time Periods

in this problem we have

[tex]t=20\ years\\ P=?\\ A=\$14,300\\r=8\%=8/100=0.08[/tex]

substitute in the formula above

[tex]14,300=P(1+0.08*20)[/tex]

[tex]14,300=P(2.6)[/tex]

[tex]P=14,300/(2.6)[/tex]

[tex]P=\$5,500[/tex]