brooke has $7 in an account that earns 10% interest compounded annually. to the nearest cent, how much will…

Explanation:

Step1: Identify compound - interest formula

The compound - interest formula is $A = P(1 + r)^t$, where $P$ 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 $r = 10%=0.1$, $P = 7$, and $t = 2$.

Step3: Substitute values into the formula

$A=7\times(1 + 0.1)^2$. First, calculate $(1 + 0.1)^2=(1.1)^2 = 1.21$. Then, $A = 7\times1.21=8.47$.

Answer:

$8.47$