theos investment of $5000 earns 1.5% simple interest annually. what is the total value of theos investment…

Explanation:

Step1: Convert time to years

3 years and 6 months is $3 + \frac{6}{12}=3.5$ years.

Step2: Use simple - interest formula

The simple - interest formula is $I = Prt$, where $P$ is the principal amount, $r$ is the annual interest rate (in decimal form), and $t$ is the time in years. Here, $P = 5000$, $r=0.015$ (since $1.5%=0.015$), and $t = 3.5$. So, $I=5000\times0.015\times3.5$. $I = 5000\times0.015\times3.5=262.5$.

Step3: Calculate total value

The total value $A$ of the investment is the sum of the principal $P$ and the interest $I$. So, $A=P + I$. $A=5000 + 262.5=5262.5$.

Answer:

$5262.5$