Solve the problem.A power boat in still water maintains a speed of 40 miles per hour. The boat heads directly across a river perpendicular to the current which has a speed of 7 miles per hour. Find the actual speed and direction of the boat.

A. 40 miles per hour; 10° off course
B. 16 miles per hour; 26° off course
C. 41 miles per hour; 10° off course
D. 19 miles per hour; 22° off course


Answer: C

Mathematics

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Solve the problem.Linda invests $25,000 for one year. Part is invested at 5%, another part at 6%, and the rest at 8%. The total income from all 3 investments is $1600. The total income from the 5% and 6% investments is equal to the income from the 8% investment. Find the amount invested at each rate.

A. $8000 at 5%, $10,000 at 6%, $7000 at 8% B. $10,000 at 5%, $10,000 at 6%, $5000 at 8% C. $5000 at 5%, $10,000 at 6%, $10,000 at 8% D. $10,000 at 5%, $5000 at 6%, $10,000 at 8%

Mathematics

Solve the equation  by completing the square. ?

A. ?
B. ?
C. ?
D. ?
E. ?

Mathematics

Graph the polynomial function. f(x) = -2x3(x - 2)2(x - 1)

A.

B.

C.

D.

Mathematics

X is Normal(?4.2, 0.7).

Find E ( X ), Var ( X ), and SD( X ) for the given random variable

Mathematics