simple interest\n1. renas grandfather opened a savings account as a college fund for her. his initial…

simple interest\n1. renas grandfather opened a savings account as a college fund for her. his initial deposit and the yearly simple interest rate are shown. how much will rena have in this account after 2 years and 6 months?

simple interest\n1. renas grandfather opened a savings account as a college fund for her. his initial deposit and the yearly simple interest rate are shown. how much will rena have in this account after 2 years and 6 months?

Answer

Explanation:

Step1: Convert time to years

2 years and 6 months is $2 + \frac{6}{12}=2.5$ 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=$3500$, $r = 0.0325$ (since $3.25%=0.0325$), and $t = 2.5$. So, $I=3500\times0.0325\times2.5$. $I = 3500\times0.0325\times2.5=3500\times0.08125 = 284.375$.

Step3: Calculate the total amount

The total amount $A$ in the account is the sum of the principal $P$ and the interest $I$. So, $A=P + I$. $A=3500+284.375=$3784.375$.

Answer:

$3784.375$