 # Calculus assignment

| January 25, 2015

Please remember to show all work following standard mathematical practice:

1) Each step should show the COMPLETE expression or equation, not just a piece of it.

2) Each new step should follow logically from the step above it, following rules of algebra.

3) Each new step should be beneath the previous step.

4) The equal sign, =, should only connect equal numbers or expressions.

1. Solve the equation below. If the equation has a unique solution, please show the check of your answer.
2. Solve the equation below. If the equation has a unique solution, please show the check of your answer.
3. Solve the equation below. If the equation has a unique solution, please show the check of your answer.
4. Solve the equation below. If the equation has a unique solution, please show the check of your answer.
5. Solve the inequality. Write the solution set using interval notation and graph the solution set on a number line:

.

1. Solve the inequality. Write the solution set using interval notation and graph the solution set on a number line:       .
2. ) Solve the compound inequality. Write the solution set using interval notation and graph the solution set on a number line:

.

1. ) Lily is planning to create a vegetable garden in her back yard. She has a total of 80 feet of fencing and wants the length of the rectangular plot to be 4 feet more than twice the width of the plot. Find the length, width, and area of Lily’s garden if she uses all of the available fencing. Show all work and write a complete answer, including units, to every part of the problem.
2. A refurbished computer is being advertised at a 29% discount. If the sale price of the computer is \$880.40, what was the original price of the computer? Show all work and write a complete answer, including units.
3. Brenda would like to have at least \$300,000 saved for her daughter’s college education. If she invests \$92,000 in an education account paying 7.15% interest compounded monthly, will she reach her goal in 18 years? Show all work to justify your answer and include appropriate units.

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