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Algebra : Solving Equations for Word Problems

Please see the attached file for the fully formatted problems.

94.
Area of painting. A rectangular painting with a width of x centimeters has an area of x2 + 50x square centimeters. Find a binomial that represents the length. See the accompanying figure.

96.
Amount of an investment of P dollars for t years at simple interest rate r is given by A = P+Prt.

a) Re-write this formula by factoring out the greatest common factor on the right hand side

b) Find A if $ 8300 is invested for 3 years at a simple interest rate of 15%

74.
One side of a rectangular stage is 2 meters longer than the other. If the diagonal is 10 meters, then what are the lengths of the sides?

92.
Throwing a wrench. An angry construction worker throws his wrench downward from a height of 128 feet with an initial velocity of 32 feet per second. The height of the wrench above the ground after t seconds is given by S(t) = -16t2 - 32t + 128
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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