Assignment Requirements

MATH133 Unit 5: Exponential and Logarithmic Functions

Individual Project Assignment: Version 2A

Name (Required): O’Narrius.Wilcox

Show all of your work details for these calculations.

Problem 1: Photic Zone

1. (State your chosen value of .)

1. (Hint: ; solve this equation for . Correctly round your answer to one decimal place, and show the intermediate steps in your work.)

Problem 2: Compound Interest

 If your last name begins with the letter Choose an investment amount, P, between Choose an interest rate, r, between A–E \$5,000–\$5,700 9%–9.99% F–I \$5,800–\$6,400 8%–8.99% J–L \$6,500–\$7,100 7%–7.99% M–O \$7,200–\$7,800 6%–6.99% P–R \$7,800–\$8,500 5%–5.99% S–T \$8,600–\$9,200 4%–4.99% U–Z \$9,300–\$10,000 3%–3.99%

Correctly round your answers to the nearest whole penny (two decimal places), and show the intermediate steps in all these calculations for full credit.

1. How much will you have in 8 years if the interest is compounded quarterly?

1. How much will you have in 15 years if the interest is compounded daily?

1. How much will you have in 12 years if the interest is compounded continuously? Use .

Problem 3: Newton’s Law of Cooling

1. (Use ; correctly round your final answer to two decimal places, and show the intermediate steps in your work.)

1. (State what you think in this formula represents.)

1. (Correctly round your answer to two decimal places, and show the intermediate steps in your work.)

Problem 4: Health Care Expenditures

The following health care data represent health care expenditures for years after 2000 in the United States.

 Actual Year Years After 2000 (x) Health Care Expenditures (in billions of dollars) 2004 4 311.3 2006 6 403.1 2007 7 431.4 2008 8 465.7 2009 9 502.3

.

1. (Correctly round your answer to one decimal place, which is tenths of billions of dollars, and show the intermediate steps in your work.)
1. (Correctly round your answer to one decimal place, and show the intermediate steps in your work.)

1. (Insert graph here; include explanations to the other questions asked.)

1. (State the types of transformations of the natural logarithmic function, , that will result in the following function)

Problem 5: Richter Scale

1. (Complete the table below. Correctly round your answer to one decimal place, and show the intermediate steps in each of the calculations.)

 E 0.5 x 106 0.5 x 101.6 1.0 x 108 1.0 x 103.6 1.5 x 1010 1.5 x 105.6 2.5 x 1012 2.5 x 107.6 1.99 x 1014 1.99 x 109.6

1. (Correctly round your answer to one decimal place, and show the intermediate steps in your work.) Hint: Replace M(x) by 9.2, and solve the logarithmic equation for x; then multiply x by 104.4 to get the value of E for this magnitude.

(State which intellipath Learning Nodes helped you with this assignment.)

References

Exponents: Basic rules. (n.d.). Retrieved from the Purple Math Web site: http://www.purplemath.com/modules/exponent.htm

Formatting math as text. (n.d.). Retrieved from the Purple Math Web site: http://www.purplemath.com/modules/mathtext.htm

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