Rewrite the expression as an equivalent expression that does not contain powers of trigonometric functions greater than 1.f(x) = sin4 x

A.  -  cos 2x +  cos 4x
B.  +  cos 2x
C.  -  cos 2x
D.  - 2 cos 2x +  cos 4x


Answer: A

Mathematics

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Part of $7,000 is invested at 10%, another part at 11%, and the remainder at 12% yearly interest. The total yearly income from the three investments is $795. The sum of the amounts invested at 10% and 11% equals the amount invested at 12%. How much is invested at each rate? 

A. $1,000 at 10%, $2,500 at 11%, and $3,500 at 12% B. $500 at 10%, $2,000 at 11%, and $4,000 at 12% C. $1,500 at 10%, $2,000 at 11%, and $3,500 at 12% D. $500 at 10%, $2,500 at 11%, and $4,000 at 12% E. $1,500 at 10%, $3,000 at 11%, and $3,000 at 12%

Mathematics

Use the compound interest formulas A = Pnt and  to solve.Find the accumulated value of an investment of $1,900 at 8% compounded quarterly for 2 years.

A. $2,216.16 B. $2,226.15 C. $2,204.00 D. $1,976.76

Mathematics

Solve the compound inequality. Express the solution using interval notation. Graph the solution set.15 ? x + 8 < 36

A. [2, 3)

B. [2, 8)

C. (2, 3]

D. (2, 8]

Mathematics

Use a double integral to find the volume of the solid shown in the figure.

What will be an ideal response?

Mathematics