PV=FV/(l+r)t 1250= 1350/(1+r)1 r=8.0%

To solve for the interest rate \( r \) in the given equation \( PV = \frac{FV}{(1 + r)^t} follow these steps:<br /><br />Given:<br />\[ PV = \$1250 \]<br />\[ FV = \$1350 \]<br />\[ t = 1 \]<br /><br />Substitute the given values into the equation:<br />\[ 1250 = \frac{1350}{(1 + r)^1} \]<br /><br />Simplify the equation:<br />\[ 1250 = \frac{1350}{1 + r} \]<br /><br />To isolate \( r \), multiply both sides of the equation by \( 1 + r \):<br />\[ 1250(1 + r) = 1350 \]<br /><br />Distribute 1250 on the left side:<br />\[ 1250 + 1250r = 1350 \]<br /><br />Subtract 1250 from both sides:<br />\[ 1250r = 100 \]<br /><br />Divide both sides by = \frac{100}{1250} \]<br /><br />Simplify the fraction:<br />\[ r = 0.08 \]<br /><br />Convert the decimal to a percentage:<br />\[ r = 8\% \]<br /><br />Therefore, the interest rate \( r \) is \( 8\% \).