Solve the problem.A deposit of $8000 is made in an account that earns 8% interest compounded quarterly. The balance in the account after n quarters is given by the sequence an = 8000(1 + )n, n = 1, 2, 3, ...Find the balance in the account after six years by computing a24

A. $9650.62
B. $12,867.50
C. $8416.62
D. $9009.30


Answer: B

Mathematics

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Use the method of undetermined coefficients to solve the differential equation.y'' + 4y' + 4y = x2 - 3x

A. y = C1e-2x + C2e2x + x2 - x + 
B. y = (C1 + C2x)e-2x + x2 - x + 
C. y = (C1 + C2x)e-2x + x2 + x - 
D. y = C1e-2x + C2e2x + x2 - x - 

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Factor completely. If the polynomial is prime, say so.x4 - 16

A. Prime B. (x + 2)2(x - 2)2 C. (x2 - 4)(x + 2)(x - 2) D. (x2 + 4)(x + 2)(x - 2)

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Choose the graph that satisfies the given conditions.Degree 4 with four x-intercepts and a negative leading coefficient

A.

B.

C.

D.

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Use the quotient rule to simplify the expression. Use positive exponents to write the answer.

A.
B.
C.
D.

Mathematics