a landlord is using a personal loan to borrow $2,500 to replace the carpet in a rental property. the loan…

Explanation:

Step1: Identify compound - interest formula

The compound - interest formula is $A = P(1+\frac{r}{n})^{nt}$, where $P$ is the principal amount, $r$ is the annual interest rate (in decimal), $n$ is the number of times interest is compounded per year, and $t$ is the number of years.

Step2: Convert values to appropriate form

Given $P=$2500$, $r = 4.43%=0.0443$, $n = 12$ (compounded monthly), and $t = 1$ year.

Step3: Substitute values into formula

$A=2500(1 +\frac{0.0443}{12})^{12\times1}$. First, calculate $\frac{0.0443}{12}\approx0.003692$. Then $1+\frac{0.0443}{12}=1 + 0.003692=1.003692$. Next, $(1.003692)^{12}\approx1.045212$. Finally, $A = 2500\times1.045212=$2613.03$.

Answer:

$2613.03$ (corresponding to the first option)