Solve.A man rode a bicycle for 12 miles and then hiked an additional 8 miles. The total time for the trip was 5 hours. If his rate when he was riding the bicycle was 10 miles per hour faster than his rate walking, what was each rate?
A. Bike: 14.5 mph
Hike: 4.5 mph
B. Bike: 12 mph
Hike: 2 mph
C. Bike: 13 mph
Hike: 3 mph
D. Bike: 11.5 mph
Hike: 1.5 mph
Answer: B
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Find the exact value of the expression.tan 345°
A.
B. 2 +
C. -2 -
D.
Find the amount of interest earned by the following certificates of deposit. Assume daily compounding. Round to the nearest cent.Amount: $17,903.76Interest rate: 5%Time: 5 years
A. $3963.70 B. $3963.64 C. $6263.19 D. $5084.73
Find a rectangular equation for the plane curve defined by the parametric equations.x = , y = 2t + 5
A. y = 2x2 + 5
B. y = 2x2 - 5
C. y = 2 - 5, x ? 0
D. y = 2 + 5, x ? 0
Solve the problem. A reasonable quadratic model for the population of a certain city is found to be where B(t) is the population (in thousands) of the city in the year that is t years since 2012. A reasonable quadratic model for the number of residents of that city who were born outside the United States is
where F(t) is the number (in thousands) of foreign-born residents of the city in the year that is t years since 2012. Let P(t) be percentage of residents of the city who were born outside the United States in the year that is t years since 2012. An
equation for P is P(t) = . Use P to predict when the city will have 15.3% foreign-born residents.
A. 2030
B. 2028
C. 2029
D. 2031