Solve the problem.$1000 is invested at 6% compounded quarterly. In how many years will the account have grown to $14,000? Round your answer to the nearest tenth of a year.

A. 23.0 years
B. 1.6 years
C. 45.3 years
D. 44.3 years


Answer: D

Mathematics

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Assume you have a digraph with 5 vertices (A, B, C, D, and E) and 9 arcs. B is incident from D, E, and A; C is incident to E and A and incident from D; E is incident to D and incident from A.Suppose that the vertices of the digraph represent individuals and there is an arc going from vertex X to vertex Y if and only if X "likes" Y. Which of the following statements [A), B), C), or D)] is not true?

A. B and C do not like each other. B. B does not like A, C, D, or E. C. A likes B and E but does not like C or D. D. C likes A but A does not like C. E. all of these statements are true.

Mathematics

Use a calculator to find the approximate value of the expression. Round the answer to two decimal places.cos 78°

A. -0.91 B. 0.21 C. 0.16 D. -0.86

Mathematics

Multiply.-1(-8)(-2)(8)(-5)(-1)(-1)

A. 662 B. 640 C. 128 D. -640

Mathematics

Find the volume of the sphere satisfying the given condition. Approximate values to the nearest tenth.diameter = 10 in.

A. 104.7 in.3  B. 4186.7 in.3 C. 294.4 in.3  D. 523.3 in.3 

Mathematics