Compute the compound interest.How long will it take for $9800 to grow to $46,200 at an interest rate of 4.6% if the interest is compounded continuously? Round the number of years to the nearest hundredth.

A. 4.6 yr
B. 33.71 yr
C. 3.37 yr
D. 3370.86 yr


Answer: B

Mathematics

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Express the vector as a product of its length and direction. -i - j + k

A.
B.
C. (-i - j + k)
D.

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Let .  If x is decreased by 35%, how is y affected? Express your answer in terms of a percent. Round your answer to two decimal places if necessary. ?

A. y is decreased by 54.15% B. y is increased by 54.15% C. y is decreased by 72.15% D. ?y is increased by 72.15%

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Solve for the unknown number.72 ÷ z = 24

A. 4 B. 1 C. 3 D. 30

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Solve the problem.Hooke's law is applicable to idealized (linear) springs that are not stretched or compressed too far. Consider a nonlinear spring whose restoring force is given by F(x) = 15x - 0.3x3, for |x| ? 8. How much work is done in compressing the spring from its equilibrium position (x = 0) to x = -1.5? Round to two decimal places when appropriate.

A. 16.5 J B. 32.23 J C. 345.6 J D. 172.8 J

Mathematics