Paul has $3 to invest. his intent is to earn 10% interest on his investment. he can invest part of his money at 6% interest and part at 13% interest. how much does paul need to invest in each option to make get a total 10% return on his $3?

investing for 6% return: $
.
investing for 13% return: $

a ton! : )

The amount invested at 6% is $12,857.14

The amount invested at 13% is $17,142.86

Step-by-step explanation:

Let

x ----> the amount invested at 6%

30,000-x -----> the amount invested at 13%

we know that

The interest earned by the amount invested at 6% plus the interest earned by the amount at 13% must be equal to the interest earned by the total amount of $30,000 at 10%

Remember that

so

The linear equation that represent this situation is

solve for x

therefore

The amount invested at 6% is $12,857.14

The amount invested at 13% is $17,142.86

sum= when you add is how much the whole amount is

distance= when you use angles and it means how far it goes

step-by-step explanation: