Problem

If $950 are deposited into an account with 5% interest rate, compounded quarterly, what is the balance after 4 years?
F=$[?]
Round to the nearest cent.
Enter

Answer

Expert–verified
Hide Steps
Answer

Calculating the above expression gives the final balance after 4 years, rounded to the nearest cent, as $1,215.89.

Steps

Step 1 :In the first quarter, the account earns 0.054($950) in interest, so the balance is $950+0.054($950)=(1+0.054)($950).

Step 2 :Similarly, the value of the account is multiplied by 1+0.054 each quarter.

Step 3 :So after 4 years, which is 44=16 quarters, the balance is (1+0.054)44($950).

Step 4 :Calculating the above expression gives the final balance after 4 years, rounded to the nearest cent, as $1,215.89.

link_gpt