Find the future value of the annuity using the given payment amount, interest rate, time, and compounding frequency.Quarterly payments of $10,000, i = 3%, compounded quarterly, t = 8 years

A. $1,693,481.63
B. $347,541.74
C. $360,148.30
D. $88,923.36


Answer: C

Mathematics

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Use Taylor's formula to find the requested approximation of    near the origin.Cubic approximation to  

A. 1 - 2x - 18y + 3x2 + 72xy + 243y2 - 4x3 - 108x2y - 972xy2 - 2916y3 B. 1 - 2x - 18y + 3x2 + 54xy + 243y2 - 4x3 - 108x2y - 972xy2 - 2916y3 C. 1 + 2x + 18y - 3x2 - 72xy - 243y2 + 4x3 + 108x2y + 972xy2 + 2916y3 D. 1 + 2x + 18y - 3x2 - 54xy - 243y2 + 4x3 + 108x2y + 972xy2 + 2916y3

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Evaluate or simplify the given expression.sin(2 sin-1 x)

A. x
B. 2x
C. 2x - 2x3
D. 2x 

Mathematics

The following question refers to a country with five states. There are 250 seats in the legislature, and the populations of the states are given in the table below. Under Webster's method, the apportionments to each state are

A. State A: 6; State B: 22; State C: 118; State D: 96; State E: 8. B. State A: 7; State B: 22; State C: 117; State D: 95; State E: 9. C. State A: 6; State B: 22; State C: 117; State D: 96; State E: 9. D. State A: 6; State B: 23; State C: 116; State D: 96; State E: 9. E. none of these

Mathematics

Find an equation of the line containing the given pair of points(4, -17) and (8, -37)

A. y = - x - 
B. y = x - 
C. y = -5x + 3
D. y = 5x - 37

Mathematics