talan invests in a bond that yields a simple interest of 3% annually. he starts with an initial investment…

talan invests in a bond that yields a simple interest of 3% annually. he starts with an initial investment of $400. the value of his investment after 4 years will be

talan invests in a bond that yields a simple interest of 3% annually. he starts with an initial investment of $400. the value of his investment after 4 years will be

Answer

Explanation:

Step1: Recall simple - interest formula

The simple - interest formula is $A = P(1+rt)$, where $A$ is the final amount, $P$ is the principal amount, $r$ is the annual interest rate (in decimal form), and $t$ is the time in years. Here, $P = 400$, $r=0.03$ (since $3%=0.03$), and $t = 4$.

Step2: Substitute values into the formula

$A=400\times(1 + 0.03\times4)$. First, calculate the value inside the parentheses: $0.03\times4=0.12$, then $1+0.12 = 1.12$. So, $A = 400\times1.12$.

Step3: Calculate the final amount

$400\times1.12=448$.

Answer:

$448$