How much money should be invested in an account that earns 7% interest, compounded quarterly, in order to have $8,000 in 5 years? Round to the nearest cent.

a.  $5,654.60
b.  $5,703.89
c.  $5,925.93
d.  $11,318.23
e.  $5,643.24


a.  $5,654.60

Mathematics

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Suppose u and v are differentiable functions of x. Use the given values of the functions and their derivatives to find the value of the indicated derivative.u(1) = 3, u '(1) = -7, v(1) = 6, v '(1) = -2. (uv) at x = 1

A. 48 B. 36 C. -48 D. -33

Mathematics

Using the Divergence Theorem, find the outward flux of F across the boundary of the region D.F = sin yi + xzj + 5zk ; D: the thick sphere 4 ? x2 + y2 + z2 ? 9

A. 135?
B. 380?
C. ?
D. ?

Mathematics

For the proportion, find the unknown number n. = 

A. 5 B. 4 C. 7 D. 3

Mathematics

Find the corner points for the set of feasible solutions for the constraints given in problem. ? ?

A. ( 0, 0 ), ( 7, 0 ), ( 0, 6 ), ( 4, 3 ), ( 13, 1 ) B. ( 7, 0 ), ( 0, 6 ), ( 4, 3 ) C. ( 13, 1 ), ( 7, 0 ), ( 0, 6 ), ( 4, 3 ) D. ( 0, 0 ), ( 8, 0 ), ( 0, 7 ), ( 4, 3 ) E. ( 0, 0 ), ( 7, 0 ), ( 0, 6 ), ( 4, 3 )

Mathematics