# An investment of $3000 is made at an annual simple interest rate of 5%. How much additional money must be invested at an annual simple interest rate of 9% so that the total annual interest earned is 7.5% of the total investment?

##### 1 Answer

Sep 7, 2015

Additional money invested is $ 5000.

#### Explanation:

#Initial investment = $3000

Interest = 5%

Yield from Initial investment =

Additional Investment = x

interest = 9%

Yield from Additional Investment =

Total Investment ( Initial investment + Yield from Additional Investment)

Rate of return from total investment = 7.5%

Yield from Total investment

Yield from Total investment = Yield from Initial investment +Yield from Additional Investment

Algebraically -