Math Help

MTH133

Units 3-5 – Individual Project – A

Name:

1) Solve algebraically. Trial and error is not an appropriate method of solution. You must show all your work.

Learn how to type math roots and fractions by clicking on the link in the assignment list. Alternately, you may type as cuberoot(x) and show raising to the nth power as ^n, like x 3 is typed x^3.

a)x^3-5=3

Answer:

Show your work here:

b)x3/2=27

Answer:

Show your work here:

c)3/4= 1-3x/2 /x+1

Answer:

Show your work here:

2) Solve algebraically and check your potential solutions:

^x+2-x=0

Answer:

Show your work here:

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.

Answer:

Show your work here:

4) For the following function, C computes a value, where if you add millions of dollars to the value, the result is the cost of implementing a city recycling project when x , as a percent (not its decimal equivalent), citizens participate.

a) Using this model, determine the cost if 60% of the citizens participate?

Answer:

Show your work here:

b) Using this model, find the percentage of participation that can be expected if $5 million is spent on this recycling project? Set up an equation and solve algebraically. Round to the nearest whole percent.

Answer:

Show your work here:

5) a) If , fill in the following table for x = 0, 1, 2, 3, 4. Round to three decimal places where necessary.

x y

0

1

2

3

4

Show your work here:

b) Explain why no negative values are chosen as values to substitute in for x.

Answer:

c) Graph in MS Excel or other suitable web-based graphing interface and paste your graph here.

Answer:

6) The formula for calculating the amount of money returned for an initial deposit into a bank account or CD...