suzie has $9,126 in an account. the interest rate is 10% compounded annually. to the nearest cent, how much…

Explanation:

Step1: Identify compound - interest formula

The compound - interest formula is $A = P(1 + r)^t$, where $A$ is the final amount, $P$ is the principal amount, $r$ is the annual interest rate (in decimal form), and $t$ is the number of years.

Step2: Convert the interest rate to decimal

Given $r = 10%=0.1$, $P=$9126$, and $t = 5$ years.

Step3: Substitute values into the formula

$A=9126\times(1 + 0.1)^5$. First, calculate $(1 + 0.1)^5=(1.1)^5=1.61051$. Then, $A = 9126\times1.61051$. $A=9126\times1.61051 = 14697.51426$.

Step4: Round to the nearest cent

Rounding $14697.51426$ to the nearest cent gives $14697.51$.

Answer:

$14697.51$