Solve the problem.Assume the cost of a car is $20,000. With continuous compounding in effect, the cost of the car will increase according to the equation C = 20,000ert, where r is the annual inflation rate and t is the number of years. Find the number of years it would take to double the cost of the car at an annual inflation rate of 5.9%. Round the answer to the nearest hundredth.
A. 167.86 years
B. 1.68 years
C. 179.60 years
D. 11.75 years
Answer: D
Mathematics
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Write the function in the form y = f(u) and u = g(x). Then find dy/dx as a function of x.y = 8
A. y = u8; u = 5x2 - - x;
= 8
7
B. y = 5u2 - - u; u = x8;
= 10x16 -
- x8
C. y = u8; u = 5x2 - - x;
= 8
7
D. y = u8; u = 5x2 - - x;
= 8
7
Mathematics
Simplify.
A. 0 B. 88 C. Not defined D. 1
Mathematics
Evaluate the exponential expression. Write the answer as an improper fraction where appropriate.(-3)2
A. -9 B. 9 C. 6 D. -6
Mathematics
Make the indicated conversion between American and metric units of capacity using the given property or properties. Round the answer to the nearest tenth unless instructed otherwise.60 liters to gallons (1 L ? 0.26 gal)
A. 15.6 gal B. 14.2 gal C. 27.0 gal D. 63.6 gal
Mathematics