Solve. Write the answer in simplest form.In a typical 54-hour work week, Matthew spends  of his time in the office. When he is in the office, he spends  of that time on the phone. How many hours each week does Matthew spend on the phone?

A.  hours
B. 9 hours
C. 27 hours
D. 18 hours


Answer: B

Mathematics

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Find the series' radius of convergence.

A. 0 B. ?, for all x C. 1 D. 2

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The point P(x, y) on the unit circle that corresponds to a real number t is given. Find the values of the indicated trigonometric function at t.?Find csc t.

A. - 
B.
C.
D. - 

Mathematics

Eleni, who is now 50 years old, is employed by a firm that guarantees her a pension of $40,000/year at age 65. What is the present value of her first year's pension if inflation over the next 15 year(s) is at the given rate. Assume that inflation is continuously compounded. Round your answers to the nearest cent. ? 6% ? $__________ ? 7% ? $__________ ? 18% ? $__________

What will be an ideal response?

Mathematics

Solve the problem.The NCAA Division 4 women's champion for the 400-m dash in 1998 was Sally Sprintalot of World State University. Her winning time was 4.89 sec. What was her rate in meters per second?

A. 81.80 m per sec B. 1956.00 m per sec C. 79.80 m per sec D. 83.80 m per sec

Mathematics