Eric received a 0.51% nonsubsidized 5-year student loan for $36,000 to attend space academy. Assuming he graduates in 4 years and possible income-adjusted repayment plan of $585 per month, how many months will it take him to repay the loan?

a.  63.63
b.  63.61
c.  63.66
d.  62.37


c.  63.66

Mathematics

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Determine whether the sequence converges or diverges, and, if it converges, find an.an = 

A. 0 B. 1 C. ln 2 D. Diverges

Mathematics

Find the extreme values of the function subject to the given constraint.  

A. Maximum: 144 at    and    minimum: -144 at    and  
B. Maximum: 144 at    minimum: 0 at  
C. Maximum: 144 at    minimum: -144 at  
D. Maximum: 144 at    and    minimum: -144 at    and  

Mathematics

Solve the given differential equation. (The form of yp is given.)D2y - 2Dy + y = 2x + x2 + sin 5x(Let yp = A + Bx + Cx2 + E sin 5x + F cos 5x.)

A. y = c1ex + c2xex + 10 + 6x + x2 +  sin 5x +  cos 5x
B. y = c1ex + 10 + 6x + x2 -  sin 5x +  cos 5x
C. y = c1ex + c2xex + 10 + 6x + x2 -  sin 5x +  cos 5x
D. y = c1ex + c2xex + 10 + 6x + x2 -  cos 5x +  sin 5x

Mathematics

Solve the problem.The Wellspring Company's fleet of trucks get 20, 8, 18, 13, 16, 9, and 21 miles per gallon (mpg). What is the mean miles per gallon for the fleet? Round to the nearest whole number.

A. 16 mpg B. 18 mpg C. 14 mpg D. 15 mpg

Mathematics