176k views
4 votes
Mr. Larson is debating between investing $10,000 into an account that pays 4% interest compounded daily or 4.9% compounded weekly. Calculate the ending balance and interest earned for each scenario. Which option will earn him

the most money in three years?

1 Answer

3 votes

9514 1404 393

Answer:

4.9% weekly

Explanation:

The compound interest formula is ...

A = P(1 +r/n)^(nt)

where A is the account balance that results from investing P at rate r compounded n times per year for t years.

Filling in the values for the two scenarios, we find ...

A = 10,000(1 +0.04/365)^(365·3) ≈ 11,274.89

A = 10,000(1 +0.049/52)^(52·3) = 11,582.74

The higher interest rate will earn Mr. Larson the most money in three years. (4.9% weekly)

Mr. Larson is debating between investing $10,000 into an account that pays 4% interest-example-1
User Khaja Mohammed
by
5.3k points