Julie put half of her savings in a savings account that pays an annual simple interest and half in a...

Julie put half of her savings in a savings account that pays an annual simple interest and half in a savings account that pays an annual compound interest. After two years she earned $100 and $105 from the simple interest account and the compound interest account respectively. If the interest rates for both accounts were the same, what was the amount of Julie's initial savings?

Quiz

Answer/Solution

1000

Steps/Work

$100 for 2 years = $50 per year.
Extra $5 yearned with the compound interest is the percent yearned on percent. So, $5 is yearned on $50, which means that the interest = 10%.
This on the other hand means that half of the savings = 50*10 = $500. Twice of that = $1,000.
Answer: C.

Gain Calculator / Auto Solver

Julie put half of her savings in a savings account that pays an annual simple interest and half in a savings account that pays an annual compound interest. After two years she earned $ and $ from the simple interest account and the compound interest account respectively. If the interest rates for both accounts were the same, what was the amount of julie's initial savings?

Calculated Answer

1000

Step by Step Solution

In order to solve problem, you must evaluate n0 / (((n1 - n0) * 2) / n0).

n0 =100
n1 =105