Evaluate the given binomial coefficient. 

A. 1287
B. 154,440
C.  
D. 51,891,840


Answer: A

Mathematics

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Solve the inequality. Give the solution set in both set-builder notation and graph form.-4 < 2x ? 4  

A.

B.

C.

D.

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A car leaves an intersection traveling west. Its position 4 sec later is 26 ft from the intersection. At the same time, another car leaves the same intersection heading north so that its position 4 sec later is 26 ft from the intersection. If the speeds of the cars at that instant of time are 12 ft/sec and 10 ft/sec, respectively, find the rate at which the distance between the two cars is changing. Round to the nearest tenth if necessary.

What will be an ideal response?

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Find the x- and y-intercepts and write them as ordered pairs. (Do not graph.)2x + y = 6

A. x-intercept: (0, 5); y-intercept: (0, -4) B. x-intercept: (3, 0); y-intercept: (0, 6) C. x-intercept: (5, 0); y-intercept: (-4, 0) D. x-intercept: (6, -4); y-intercept: (5, 6)

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What lump sum should be deposited in an account that will earn at an annual rate of 7%, compounded quarterly, to grow to $90,000 for retirement in 20 years? Round your answer to the nearest cent. ?

A. $29,594.17 B. $5,741.36 C. $44,828.96 D. $14,219.12 E. $22,464.10

Mathematics