Find the distance between 2 / 3 and 2 / 11 on the number line.

Write the slope-intercept equation for a line parallel to the line 5x - y = 8 which passes

through the point (-2, - 7).

Find the midpoint of the line segment with endpoints (4, 7) and (-2, -1).

Suppose that $10,000 is invested at an interest rate of 5% per year, compounded

continuously.

a. Find the exponential function that describes the amount in the account after time t,

in years.

b. How long will it take for the amount in the account to double? (Round your answer

to two decimal places.)

A salesman earns a base pay of $100 per day plus a commission of $40 for each sale he

makes.

a. Find a formula for his total earnings per day from making x sales.

b. If his total earnings are $420 for a particular day, find the number of sales made.

A company's cost for making x gizmos is C(x) = 1000 + 10 x. The revenue is

R(x) = 100 x - x 2 .

a. Find the profit function P(x) , where P(x) = R(x) - C(x).

b. How many gizmos should be produced to maximize the profit?

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