Respuesta :

Answer:

The time is [tex]2\ years[/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=?\ years\\ P=\$600\\ A=\$600+\$84=\$684\\r=0.07[/tex]

substitute in the formula above

[tex]\$684=\$600(1+(0.07)t)[/tex]

solve for t

[tex]t=[(684/600)-1]/0.07=2\ years[/tex]