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# Mathematics - Algebra

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94. Area of a painting. A rectangular painting with a width of.......

96. Amount of an investment. The amount of an investmentof P dollars for ......

a) Rewrite this formula by factoring.....
b) Find A if \$8300 is invested for 3 years.....

5.2

100. Demand for pools. Tropical Pools sells an aboveground model for.....

R(p)=-0.08p^2 + 300p.

Revenue is the product of the price p and the demand (quantity sold).

a) Factor out the price on the right-hand side of the formula.
b) Write a formula D(p) for the monthly demand.
c) Find D(3000).
d) Use the accompanying graph to estimate ....

5.3

110. Area of a sail. The area in square meters for a triangular sail is given by A(x) =x^2 + 5x + 6.

a) Find A(5).

b) If the height of the sail is x + 3 meters, then what is the length of the base of the sail?

5.4

In a study of worker efficiency at WongLaboratories it was found that....

Factoring the Trinomial ax^2 + bx + c with a ......

a) Rewrite the formula by factoring the right-hand side completely.
b) Use the factored version of the formula to find N(3).
c) Use the accompanying graph to estimate the time at which the workers are most efficient.
d) Use the accompanying graph to estimate the maximum......

5.5

112. Decreasing cube. Each of the three dimensions of acube.......
a) Find V(10).
b) If the new width is s - 6 centimeters, then what are the new length and height?
c) Find the volume when s =10 by multiplying thelength, width, and height

5.6

92. Throwing a wrench. An angry construction worker throws......

a) What is the height of the wrench after 1 second?
b) How long does it take for the wrench to reach the
ground?

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## Mathematics - Algebra - Compounding interest

Initial deposit was 2,000 for 5 years at a rate of 8 percent. If a bank compounds continuously, then the formula used is A= Pe rt where e is a constant and equals approximately 2.7183. Calculate A with continuous compounding. Round the answer to the hundredths place.

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