Solve the problem.How long will it take for $8200 to grow to $20,700 at an interest rate of 5.9% if the interest is compounded quarterly? Round the number of years to the nearest hundredth.

A. 43.10
B. 16.15
C. 15.81
D. 63.24


Answer: C

Mathematics

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Solve the problem.Gary can hike on level ground 3 miles an hour faster than he can on uphill terrain. Yesterday, he hiked 38 miles, spending 2 hours on level ground and 5 hours on uphill terrain. Find his average speed on level ground.

A. 7 mph
B. 4 mph
C. 8 mph
D. 5 mph

Mathematics

Find the limit.2 sin 

A. 0 B. 1 C. 4 D. -1

Mathematics

Find the modulus of the number.8 - 4i

A. 80
B. 4
C. 2
D. 12

Mathematics

A correctional facility firm has hired a total of 120 new prison guards to send to its four correctional facilities. The number of inmates at each of the facilities is listed in the table below together with its apportionment according to the Hamilton method. If the firm decides at the last minute to hire one more guard, determine whether the Alabama paradox will occur in the reapportionment of the guards. If it does, which facility loses a guard in the reapportionment?


a.  The paradox will occur and County A will lose a guard.
b.  The paradox will occur and County B will lose a guard.
c.  The paradox will occur and County C will lose a guard.
d.  The paradox will occur and County D will lose a guard.

Mathematics