You have $23 comma 000 to invest, part at 8 % and the rest at 9 %. If x is the amount invested at 8 % , write an algebraic expression that represents the total annual income from both investments. Simplify the expression.

Question

Julianna Andrade

Mathematics

17 February, 03:51

You have $23 comma 000 to invest, part at 8 % and the rest at 9 %. If x is the amount invested at 8 % , write an algebraic expression that represents the total annual income from both investments. Simplify the expression.

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Answers (1)

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Joslyn Miles · Answer 1

x = amount invested at 8 %. Then 23 000 - x = amount invested at 9 %

Annual income (I) = interest at 8 % + interest at 9 %

I = 0.08x + 0.09 (23 000 - x)

I = 0.08x + 2070 - 0.09x

I = 2070 - 0.01x