5.6.1: Practice Problems Corequisite M.6
- Page ID
- 148625
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_________ y = 1,000(0.95)x | _________ y = 200 + 11x | _________ y = 5(1.1)x |
In this problem, you will compare the effects of different compounding periods on the interest an investment earns. Complete the table below using the values indicated. Show the formula you used, with the correct values, in the second column.
- Principal: $1,000
- APR: 4.5%
- Time: 10 years
Complete the table below by answering Questions 2-9.
Compounding Period | Equation Used for Calculation (with values inserted) |
Amount Accrued |
Annual | (2) | (3) |
Quarterly | (4) | (5) |
Monthly | (6) | (7) |
Daily | (8) | (9) |
Certain drugs are eliminated from the bloodstream at an exponential rate. Doctors and pharmacists need to know how long it takes for a drug to reach a certain level to determine how often patients should take medications. Answer the following questions based on this information.
(10) Select the correct statement:
(i) The same amount of the drug will be eliminated in the first hour as in the second hour.
(ii) More of the drug will be eliminated in the first hour than in the second hour.
(iii) Less of the drug will be eliminated in the first hour than in the second hour.
(11) Write an exponential model for the following situation. The drug dosage is 500 mg. The drug is eliminated at a rate of 5.2% per hour. Use D = the amount of the drug in milligrams and t = time in hours.
(12) How much of the drug is left after six hours? Round to the nearest milligram.