# The additional amount invested at 5 1 2 % per year.

### Precalculus: Mathematics for Calcu...

6th Edition
Stewart + 5 others
Publisher: Cengage Learning
ISBN: 9780840068071

### Precalculus: Mathematics for Calcu...

6th Edition
Stewart + 5 others
Publisher: Cengage Learning
ISBN: 9780840068071

#### Solutions

Chapter 1.6, Problem 22E
To determine

## To find: The additional amount invested at 512% per year.

Expert Solution

The additional amount invested at 512% per year is $2000. ### Explanation of Solution Given: The amount invested at 4% rate is$4000 and the total amount invested at rate of 412% .

Calculation:

Let the additional amount invested at 512% rate be x and the total amount invested on 412% rate be 4000+x .

Tabulate the given information into the language of algebra.

 In words In Algebra Amount invested at 512% x Total amount invested at 412% 4000+x Interest earned at 512% 0.055x Interest earned at 412% 0.045(4000+x)

Model the equation for the above information.

Interestat4%+Interestat512%=Totalamountinvestedat412%0.04×4000+0.055x=0.045(4000+x)

Simplify the above equation for x,

160+0.055x=180+0.045x0.055x0.045x=1801600.010x=20x=2000

Thus, the additional amount invested at 512% per year is \$2000.

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