Assignment Requirements
Read Attached MATH133_Unit_5_IP_2A and MATH133_Unit_5_IP_2A_Answer_Form.
Show all of your work details, explanations, and answers on theMATH133_Unit_5_IP_2A_Answer_Form Aatttached
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
- (State your chosen value of .)
(Correctly round your answer to one decimal place, and show the intermediate steps in your work.)
- (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.
- How much will you have in 8 years if the interest is compounded quarterly?
- How much will you have in 15 years if the interest is compounded daily?
- How much will you have in 12 years if the interest is compounded continuously? Use .
Problem 3: Newton’s Law of Cooling
- (Use ; correctly round your final answer to two decimal places, and show the intermediate steps in your work.)
- (State what you think in this formula represents.)
- (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 |
.
- (Correctly round your answer to one decimal place, which is tenths of billions of dollars, and show the intermediate steps in your work.)
- (Correctly round your answer to one decimal place, and show the intermediate steps in your work.)
- (Insert graph here; include explanations to the other questions asked.)
- (State the types of transformations of the natural logarithmic function, , that will result in the following function)
Problem 5: Richter Scale
- (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 10^{6} | 0.5 x 10^{1.6} | |
1.0 x 10^{8} | 1.0 x 10^{3.6} | |
1.5 x 10^{10} | 1.5 x 10^{5.6} | |
2.5 x 10^{12} | 2.5 x 10^{7.6} | |
1.99 x 10^{14} | 1.99 x 10^{9.6} |
- (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 10^{4.4} 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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