Provide an appropriate response.An initial investment of $240 grows at an annual rate of 5% compounded quarterly. Find how long it takes for the investment to amount to $300.

Fill in the blank(s) with the appropriate word(s).


4(1/2) years

Mathematics

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Use implicit differentiation to find dy/dx. = x2 + y2

A.
B.
C.
D.

Mathematics

Use counting rules to determine the probability.In a card game, each player is dealt 4 cards from an ordinary deck of 52 playing cards. Determine the probability of being dealt a hand containing three cards of one denomination and one of another.

A. 0.165 B. 0.0000591 C. 0.0137 D. 0.00922

Mathematics

Evaluate the integral.

A.  [7 sin 7- 5 cos 7x] + C
B.  [ sin 7+ cos 7x] + C
C.  [7 sin 7+ 5 cos 7x] + C
D.  [7 e5x sin 7+ 5 cos 7x] + C

Mathematics

Solve the problem.In a study of traffic control, the number n of vehicles on a certain section of a highway from  to  was found to be  where t is the number of hours after  At what time is the number of vehicles the greatest?

A. 3 p.m. B. 4:30 p.m. C. 4 p.m. D. 5 p.m.

Mathematics