Respuesta :

Answer:

[tex]\$1,640[/tex]

Step-by-step explanation:

we know that

The simple interest formula is equal to

[tex]I=P(rt)[/tex]

where

I is the interest 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=7\ years\\ I=\$631.40\\r=0.055[/tex]

substitute in the formula above  and solve for P

[tex]631.40=P(0.055*7)[/tex]

[tex]P=631.40/(0.055*7)=\$1,640[/tex]