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- Find the positive geometric mean between 4 and 64.arrow_forwardDepreciation Once a new car is driven away from the dealer, it begins to lose value. Each year, a car loses 10% of its value. This means that each year the value of a car is 90% of the previous year’s value. If a new car was purchased for $20,000, the value at the end of the first year would be $20000(0.90) and the value of the car after the end of the second year would be $20000(0.90)2. Complete the table shown below. What will be the value of the car at the end of the eighth year? Simplify the expression, to show the value in dollars.arrow_forwardHarvard Step Test The Harvard Step Test was developed4 in 1943 as physical fitness test, and modifications of it remain in use today. The candidate steps up and down on a bench 20 inches high 30 times per minute for 5 minutes. The pulse is counted three separate times for 30 seconds each: at 1 minute, 2 minutes, and 3 minutes after the exercise is completed. If P is the sum of the three pulse counts, then the physical efficiency index E is calculated using E=15,000P. The following table shows how to interpret the results of the test. Efficiency Index Interpretation Below 55 Poor condition 55 to 64 Low average 65 to 79 High average 80 to 89 Good 90 & above Excellent a. Does the physical efficiency index increase or decrease with increasing values of P? Explain in practical terms what this means. b. Express using functional notation the physical efficiency index of someone whose total pulse count is 200, and then calculate that value. c. What is the physical condition of someone whose total pulse cont is 200? d. What pulse counts will result in an excellent rating?arrow_forward
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