Suppose $4,200 is invested in an account at an annual interest rate of 5.7% compounded continuously. How long (to the nearest tenth of a year) will it take the investment to double in size?

Letf (x) = x - 15and g(x) = square root x-3

Find (f/g)12

Find the domain of the quotient function f/g

Points (2, 1) and (8, -5)are endpoints of the diameter of a circle.

What is the length of the diameter? Give the exact answer, simplified as much as possible.

What is the center point C of the circle?

Given the point C you found in part (b), state the point symmetric to C about the y-axis.

Find the equation for a line which passes through the points (-1, 10) and (3, -6).Write the equation in slope-intercept form.

Rob, a resident of Metropolis, pays Metropolis an annual tax of $60 plus 1.6% of his annual income. If Rob paid $996 in tax, what was Rob's income?

Let f (x) = 3x2 + 5andg(x) = x - 4.

Find the composite function (fog)(x) and simplify.

Find (fog)(-1)

Donut Creations, Inc. has determined that when x donuts are made daily, the profit P, in dollars, is given by

P(x) = -0.002 x2 + 4.7x - 1950

What is the company's profit if 800 donuts are made daily?

How many donuts should be made daily in order to maximize the company's profit?