Provide an appropriate response.The formula for simple interest is I = PRT, where I is the amount of interest, P is the principal amount borrowed, R is the percent of interest charges, and T is the length of time of the loan. If the interest is $414, the principal is $3,680, and the time is one and one-fourth years, write an equation and solve to find the percent of interest charged.
Fill in the blank(s) with the appropriate word(s).
9%
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Compare the right-hand and left-hand derivatives to determine whether or not the function is differentiable at the point whose coordinates are given.
y = xy = 2x
A. Since limx?0+ f '(x) = -2 while limx?0- f '(x) = -1, f(x) is not differentiable at x = 0. B. Since limx?0+ f '(x) = 2 while limx?0- f '(x) = 1, f(x) is not differentiable at x = 0. C. Since limx?0+ f '(x) = 1 while limx?0- f '(x) = 2, f(x) is not differentiable at x = 0. D. Since limx?0+ f '(x) = 1 while limx?0- f '(x) = 1, f(x) is differentiable at x = 0.
Solve.In 1998, the population of Country C was 36 million, and the exponential growth rate was 1% per year. Find the exponential growth function.
A. P(t) = 36e1t, where P(t) is in millions and t is the number of years after 1998. B. P(t) = 36e0.01, where P(t) is in millions and t is the number of years after 1998. C. P(t) = 36e0.01t, where P(t) is in millions and t is the number of years after 1998. D. P(t) = 360.01t , where P(t) is in millions and t is the number of years after 1998.
Establish the identity.
= tan(2?)
What will be an ideal response?
Solve the problem.A driver wants to gauge the fuel efficiency of her vehicle at speeds of 30 mph and above. She notices that traveling at an average speed of 45 mph results in a rating of 34 mpg, where as at an average speed of 60 mph, her car rates 29 mpg. Find an equation to model the gas mileage y for an average speed of x mph.
A. y = 3x + 49
B. y = - 
x - 19
C. y = 3x - 19
D. y = - 
x + 49