After 5 years, with an initial deposit of $1000 and an 8% interest rate compounded quarterly, the employee would have approximately $1485.95 in the savings account.
In the compound interest formula, the variables represent the following:
P = $1000 (initial deposit)
r = 0.08 (interest rate per compounding period, which is 8% or 0.08)
n = 4 (number of times interest is compounded per year, quarterly compounding)
t = 5 years (time in years)
The compound interest formula is given by:
![\[ A = P \left(1 + (r)/(n)\right)^(nt) \]](https://img.qammunity.org/2024/formulas/business/high-school/uotb50mnfel9dwecmb8uu95z6g2hl2eej6.png)
Substitute the given values into the formula:
![\[ A = 1000 \left(1 + (0.08)/(4)\right)^(4 * 5) \]](https://img.qammunity.org/2024/formulas/mathematics/high-school/eyuk5ulynzf04w962o1icsa6hzkp3te98c.png)
Calculate the result to find the money in the account after 5 years.
![\[ A = 1000 \left(1 + (0.08)/(4)\right)^(4 * 5) \]\[ A = 1000 \left(1 + 0.02\right)^(20) \]\[ A = 1000 * (1.02)^(20) \]\[ A \approx 1000 * 1.485946 \]\[ A \approx 1485.95 \]](https://img.qammunity.org/2024/formulas/mathematics/high-school/1dt8r0pue7kl9s2aii58pd1bg94zfehv9w.png)
After 5 years, with an initial deposit of $1000 and an 8% interest rate compounded quarterly, the amount in the account would be approximately $1485.95.
The complete question is:
The Fresh and Green Company has a savings plan for employees. If an employee makes an initial deposit of $1000, the company pays 8% interest compounded quarterly. If an employee withdraws the money after 60 months, how much is in the account?
P=$1000
r =
n =
t=
years
Money in the account after 5 years $