Last year, susan had 10,000 to invest. she invested some of it in an account that paid 6% simple interest per year, and she invested the rest in an account that paid 5% simple interest per year. after one year, she received a total of %560 in interest. how much did she invest in each account?

In the account that paid 6% Susan invest

In the account that paid 5% Susan invest

Step-by-step explanation:

we know that

The simple interest formula is equal to

where

I is the Final Interest Value

P is the Principal amount of money to be invested

r is the rate of interest  

t is Number of Time Periods

Part a) account that paid 6% simple interest per year

in this problem we have

substitute in the formula above

Part b) account that paid 5% simple interest per year

in this problem we have

substitute in the formula above

we know that

substitute and solve for x

therefore

In the account that paid 6% Susan invest

In the account that paid 5% Susan invest