The combined yearly interest is 1350 + 0.04 x
We are asked to find the combined yearly interest for both amounts.
The interest for x dollars invested at 13% would be 13% of x.
13 % of x = (13 / 100)x = 0.13 x
The interest for 15000 - x dollars at 9 % would be 9 % of 15000 - x
9 / 100 (15000 - x)
0.09 (15000 - x)
1350 - 0.09 x
Therefore, Combined interest = 1350 - 0.09 x + 0.13 x
Combined interest = 1350 + 0.04 x
Therefore, the combined yearly interest for x dollars invested at 13% and 15,000- x dollars invested at 9% is 1350 + 0.04x
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The combined yearly interest for x dollars invested at 13 % and 15000 - x dollars invested at 9 % is 1350 + 0.04x.
We are given the two amounts
Amount x invested at 13 % interest rate
Amount 15000 - x invested at 9 % interest rate.
We need to find the combined yearly interest for both amounts.
The interest for x dollars invested at 13% would be 13% of x.
13% of x = (13/100)x = 0.13 x
The interest for 15000 - x dollars at 9% would be 9% of 15000 - x.
9 / 100 (15000 - x)
0.09 (15000 - x)
1350 - 0.09x
Combined interest = 1350 - 0.09x + 0.13x
Combined interest = 1350 + 0.04x
Therefore, the combined yearly interest for x dollars invested at 13 % and 15000 - x dollars invested at 9 % is 1350 + 0.04x.
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