Solve the problem.If P dollars are invested at an annual interest rate of r compounded n times a year, then the accumulated amount after t years is given by A = P nt.If $3000 is invested for 15 years at a rate of 9% compounded monthly, then what is the difference, in thousands of dollars, between the actual accumulated amount and the amount given by the Taylor polynomial of degree 2 at r = 0 for f(r) = P nt?

A. 2.65 thousand dollars
B. 0.84 thousand dollars
C. 1.75 thousand dollars
D. 0.97 thousand dollars


Answer: C

Mathematics

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A. sin-1
B.  tan-1
C.  sin-1
D.  tan-1

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Find the grade point average. Round to the nearest tenth when necessary.The grades are given for a student for a particular semester. Find the grade point average. Assume the grade point values are A = 4, B = 3, C = 2, D = 1, and F = 0.  C3  B1  C2  A2  B3

A. 11 B. 2.7 C. 2.8 D. 2.2

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Simplify the expression.loga(a7)

A. 7 loga(a) B. 7 C. a7 D. 1

Mathematics

Use Descartes' Rule of Signs to determine the possible number of positive real zeros and the possible number of negative real zeros for the function.f(x) = 7x6 - 4x4 - 5x3 + 7x2 - 3x

A. 1 or 3 positive; 0 or 2 negative B. 1 or 3 positive; 2 negative C. 0 or 2 positive; 0 negative D. 0 or 2 positive; 1 or 3 negative

Mathematics