Respuesta :

Remember that

The simple interest formula is equal to

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

[tex]I=P\mleft(rt\mright)[/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

P=$875

r=5 1/4%=5+1/4=5.25%=5.25/100=0.0525

t=3 years

substitute

[tex]\begin{gathered} I=875\cdot(0.0525\cdot3) \\ I=\$137.81 \end{gathered}[/tex]

The new balance is

A=P+I

A=875+137.81

A=$1,012.85