select the correct answer. calculate the compound amount. round to the nearest cent for, p = $1800; r =…

Explanation:

Step1: Identify compound - interest formula

The compound - interest formula when compounded annually is $A = P(1 + r)^t$, where $A$ is the compound 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 $r=9.5%$, convert it to decimal: $r = 0.095$. The principal $P = 1800$ and $t = 10$.

Step3: Substitute values into the formula

$A=1800\times(1 + 0.095)^{10}$. First, calculate $(1 + 0.095)^{10}=1.095^{10}\approx2.478783$. Then, $A = 1800\times2.478783=4461.8094$.

Step4: Round to the nearest cent

Rounding $4461.8094$ to the nearest cent gives $A\approx4461.81$.

Answer:

A. $4461.81$