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# MTH 133 - UNITS 3-5

1)Solve the following equations algebraically. You must show all your work
2)Solve algebraically and check your potential solutions:
3)The volume of a cube is given by V = s3, where s is the length of a side. Find the length of a side of a cube if the volume is 800 cm3. Round the answer to three decimal places
4)For the following function, C computes the cost in millions of dollars of implementing a city recycling project when x percent of the citizens participate. ..
a)Using this model, approximately what is the cost if 60% of the citizens participate?
b)Using this model, estimate the percentage of participation that can be excepted if \$5 million is spent on this recycling project? Set up an equation and solve algebraically. Round to the nearest whole percent.
5)a)If , fill in the following table for x = 0, 1, 2, 3, 4. Round to three decimal places where necessary.
b)Explain why no negative values are chosen as values to substitute in for x.
c)Graph in MS Excel and paste your graph here.
6)The formula for calculating the amount of money returned for an initial deposit into a bank account or CD (certificate of deposit) is given by...
a) Calculate the return (A) if the bank compounds annually (n = 1). Round your answer to the hundredth's place
b)Calculate the return (A) if the bank compounds quarterly (n = 4). Round your answer to the hundredth's place
c)If a bank compounds continuously, then the formula used is ...
7) A commonly asked question is, "How long will it take to double my money?" At 8% interest rate and continuous compounding, what is the answer? Round your answer to the hundredth's place.
8)Suppose that the function represents the percentage of inbound e-mail in the U.S. that is considered spam, where x is the number of years after 2000.
a)Use this model to approximate the percentage of spam in the year 2003
b)Use this model to approximate the year that the percent of spam will reach 95% provided that law enforcement regarding spammers does not change.