Respuesta :
we know that
The simple interest formula is equal to
[tex]I=P(rt)[/tex]
where
I is the amount in interest
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=\$1,300\\ I=\$299\\r=0.0575[/tex]
substitute in the formula above and solve for t
[tex]299=1,300(0.0575)(t)[/tex]
[tex]t=299/[1,300(0.0575)][/tex]
[tex]t=4\ years[/tex]
therefore
the answer is
[tex]4\ years[/tex]