Solve the problem. Round your answer to the nearest tenth, if necessary.A man rode a bicycle for 12 mi and then hiked an additional 8 mi. The total time for the trip was 5 hr. If his rate when he was riding a bicycle was 10 mph faster than his rate walking, what was each rate?

A. Bike: 13 mph; hike: 3 mph
B. Bike: 11.5 mph; hike: 1.5 mph
C. Bike: 12 mph; hike: 2 mph
D. Bike: 14.5 mph; hike: 4.5 mph


Answer: C

Mathematics

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Find the value of the determinant.

A. -20 B. 64 C. -44 D. 44

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Solve the problem.On the September 20 billing date, Emilio had a balance due of $573.56 on his credit card. During the next month, Emilio charged an additional $357.87 and makes a payment of $433. The interest rate on the card is 1.9% per month. Using the previous balance method, find the finance charge on October 20.

A. $6.80 B. $9.47 C. $2.67 D. $10.90

Mathematics

Provide an appropriate response.Find the direction of the vector in standard position with end point (3, 11). Round to the nearest hundredth.

A. 74.17° B. 15.26° C. 15.83° D. 74.74°

Mathematics

Divide and simplify to the form a + bi.

A.  + i
B.  + i
C.  + i
D.  - i

Mathematics