Joe wants to retire in 20 years. How much does Joe need to place into an account today to retire with $1,000,000 if the account pays 8% interest compounded annually?

A. $214,548.20
B. $21,458.20
C. $46,319.34
D. $463,193.49
E. none of these


Answer: A

Mathematics

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Find the function with the given derivative whose graph passes through the point P.r'(?) = 4 + sec2 ?, P(?, 0)

A. r(?) = 4? + sec3 ?
B. r(?) = 4? + tan ? - 4?
C. r'(?) = 2?2 + tan ? + 4?
D. r(?) = 2?2 + tan ? - 4?

Mathematics

Find functions f and g so that f ? g = H.H(x) = ?4x + 3?

A.

f(x) = ?x?; g(x) = 4x + 3

B.
f(x) = x; g(x) = 4x + 3

C.
f(x) = ?-x?; g(x) = 4x - 3

D.
f(x) = -?x?; g(x) = 4x + 3

Mathematics

Find the limit.Letf(x) = 225. Find.

A. -2 B. 225 C. 3.8730 D. 15

Mathematics

Solve the problem.An experiment in a wind tunnel generates cyclic waves. The following data is collected for 32 seconds:  Let V represent the wind speed (velocity) in feet per second and let t represent the time in seconds. Write a sine equation that describes the wave.

A. V = 60 sin  + 16
B. V = 44 sin (32t - 16) + 22
C. V = 22 sin  + 38
D. V = 60 sin(32t - 16) + 16

Mathematics