you deposit $150 in an investment account that earns 6% annual interest compounded annually. you make no…

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 $r = 6%=0.06$, $P=$150$, and $t = 5$ years.

Step3: Substitute values into the formula

$A=150\times(1 + 0.06)^5$. First, calculate $(1 + 0.06)^5=(1.06)^5=1.06\times1.06\times1.06\times1.06\times1.06 = 1.3382255776$. Then, $A = 150\times1.3382255776\approx150\times1.338226 = 200.7339\approx200.73$.

Answer:

$200.73$