Question

Kevin has a client who wants to invest in an account that earns 3% interest, compounded annually. The client opens the account with an initial deposit of $5,000, and deposits an additional $5,000 into the account each year thereafter. Assuming no withdrawals or other deposits are made and that the interest rate is fixed, the balance of the account (rounded to the nearest dollar) after the tenth deposit is __________.

Answer 1

Considering the situation described above, the balance of the account (rounded to the nearest dollar) after the tenth deposit is "$56,650."

What is Sinking Fund?

Sinking Fund is the term used to describe the fund created by individuals by specifically setting revenue in a particular place like savings over a given period to fund a future capital expense or repayment of long-term debt.

Given that this is more like a Sinking Fund hence, we calculate using the below formula:

S = N [ (1+r)^n - 1 ] /r

where r = 0.030

n = 10 years

N = 5,000

S = 5,000 [ (1.030)^10 -1 ]/.030

= 5,000 [ 1.34 -1 ]/.030

= 5,000 [ 11.33]

= $56,650.

Therefore, we got $6,650 in concern.

Hence, in this case, it is concluded that the correct answer is "$56,650."

Learn more about Sinking Fund here: brainly.com/question/10709829