Solve the problem using matrices.Melody has $45,000 to invest and wishes to receive an annual income of $4290 from this money. She has chosen investments that pay 5%, 8%, and 12% simple interest. Melody wants to have the amount invested at 12% to be double the amount invested at 8%. How much should she invest at each rate?

What will be an ideal response?


$9000 at 5%, $12,000 at 8%, and $24,000 at 12%

Mathematics

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Solve the problem.The four Galilean moons of Jupiter have orbital periods and mean distances from Jupiter given by the following table. Find the linear speed of each moon. Which is the fastest (in terms of linear speed)?

What will be an ideal response?

Mathematics

Evaluate the determinant.

A. 21x2 - x4 B. 0 C. -21x2 - x4 D. 21x2 + x4

Mathematics

Underline the digit that occupies the given place.775?Tens place

A. 75
B. 77
C. 75
D. None of these

Mathematics

The first several terms of a sequence are given. Find the indicated partial sum., . . . ; S6

A.
B.
C.
D.

Mathematics