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Found in: Page 690

### Precalculus Mathematics for Calculus

Book edition 7th Edition
Author(s) James Stewart, Lothar Redlin, Saleem Watson
Pages 948 pages
ISBN 9781337067508

# A woman invests a total of $20,000 in twoaccounts, one paying 5% and the other paying 8% simpleinterest per year. Her annual interest is$1180. How much didshe invest at each rate?

For the given investment problem the woman invested $14,000 at a rate of 5% and$6,000 at a rate of 8%.

See the step by step solution

## Step 1. Given information.

x = the amount invested in the first account.

y = the amount invested in the second account.

## Step 2. Write down the concept.

x + y = 20000 …….(1)

Also the total sum of interest earned would be,

0.05x + 0.08y = 1180 ……….(2)

## Step 3. Determining the values

Solving equation (1) and (2) we have,

20 $×$ equation (2) gives x + 1.6y = 23600

Now subtracting this to equation (1), we get

0.6y = 3600

y = 6000

Substituting this in (1)

x + 6000 = 20000

x = 14000