Solve the problem.You have $50,000 and wish to invest part at 10% and the rest at 6%. How much should be invested at each rate to produce the same return as if it all had been invested at 9%?

A. $37,500 at 6%, $12,500 at 10%
B. $37,000 at 10%, $13,000 at 6%
C. $37,000 at 6%, $13,000 at 10%
D. $37,500 at 10%, $12,500 at 6%


Answer: D

Mathematics

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Use the method of variation of parameters to solve the differential equation.D2y - 16y = e-4x 

A. y = C1e-4x  + C2e4x  + xe-4x
B. y = C1e-4x  + C2e4x  - xe4x
C. y = C1e-4x  + C2e4x  - xe-4x
D. y = C1e-4x  + C2e4x  - xe-4x

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Find Pk+1 from the given statement Pk.Pk: 5 + 10 + 15 + . . . + 5k = 

A. Pk+1: 5 + 10 + 15 + . . . + 5k + 5(k + 1) = 
B. Pk+1: 5 + 10 + 15 + . . . + 5k + (5k + 1) = 
C. Pk+1: 5 + 10 + 15 + . . . + 5k + 5(k + 1) = 
D. Pk+1: 5 + 10 + 15 + . . . + 5k + (5k + 1) = 

Mathematics

Solve the equation.4(3x - 5 ) = 256

A. {128}
B. {-3}
C.
D. {3}

Mathematics

Divide. ÷ 

A. - 1 
B.
C. -  
D. - 34 

Mathematics