a principal of $1900 is invested at 7.25% interest, compounded annually. how much will the investment be…

Explanation:

Step1: Identify compound - interest formula

The compound - interest formula is $A = P(1 + r)^t$, where $A$ is the amount of money accumulated after $n$ years, including interest, $P$ is the principal amount (the initial amount of money), $r$ is the annual interest rate (in decimal form), and $t$ is the time the money is invested for in years.

Step2: Convert the interest rate to decimal

Given $r = 7.25%=0.0725$, $P=$1900$, and $t = 11$ years.

Step3: Substitute values into the formula

$A=1900\times(1 + 0.0725)^{11}$. First, calculate $(1 + 0.0725)^{11}$. Using a calculator, $(1.0725)^{11}\approx2.1577$. Then, $A = 1900\times2.1577$. $A=1900\times2.1577 = 4099.63$.

Step4: Round the answer

Rounding $4099.63$ to the nearest dollar gives $4100$.

Answer:

$4100$