You have $50,000 and wish to invest part at 10% and the rest at 6%. How much should be invested 3) at each rate to produce the same return as if it all had been invested at 9%? A) $37,000 at 6%, $13,000 at 10% B) $37,000 at 10%, $13,000 at 6% C) $37,500 at 10%, $12,500 at 6% D) $37,500 at 6%, $12,500 at 10%

Intermediate Algebra
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Author:Lynn Marecek
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Chapter12: Sequences, Series And Binomial Theorem
Section12.3: Geometric Sequences And Series
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3) You have $50,000 and wish to invest part at 10% and the rest at 6%. How much should be invested 3)

at each rate to produce the same return as if it all had been invested at 9%?
A) $37,000 at 6%, $13,000 at 10%

B) $37,000 at 10%, $13,000 at 6%

C) $37,500 at 10%, $12,500 at 6%

D) $37,500 at 6%, $12,500 at 10%

the answer is "C" but i dont know how it gotten to this answer 

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