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- We found that the estimated rate of increase in the cost when x = 60,000 is $438 per game system. We are asked to compare this estimate to the exact cost of producing the 60,001st game system. In order to find the exact cost of producing the 60,001st game system, we can find the exact cost of producing 60,000 game systems in an hour and the exact cost of producing 60,001 game systems in an hour and take the difference of the two numbers. Recall that the cost for the company to produce x game systems per hour is given by the cost function C(x) = 900,000 + 390x + 0.0004x2. So the cost for the company to produce 60,000 game systems in an hour is given by the following. C(x) = 900,000 + 390x + 0.0004x2 C(60,000) = 900,000 + 390(60,000) + 0.0004(60,000)2 = 25740000 The cost for the company to produce 60,001 game systems in an hour is given by the following. C(x) = 900,000 + 390x + 0.0004x2 C(60,001) = 900,000 + 390(60,001) +…Total prize money of $1,480 is to be divided among 8 contestants so that the lowest will receive $10 and each of the others a fixed amount more than the preceding person. What prize money goes to the winner?Suppose your car averages 32 miles per gallon on the highway if your average speed is 60 miles per hour, and it averages 25 miles per gallon on the highway if your average speed is 75 miles per hour. What is the driving time for a 1500-mile trip if you drive at an average speed of 60 miles per hour? What is the driving time at 75 miles per hour? Assume a gasoline price of $2.55 per gallon. What is the gasoline cost for a 1500-mile trip if you drive at an average speed of 60 miles per hour? What is the gasoline cost at 75 miles per hour?
- If the average time for a fifth grader to run a mile is 8.50 minutes (s = 1.25), what percentage of fifth graders take longer than 8.91 minutes to run a mile?suppose your $1200 laptop depreciates 1% per week. After what week will your computer first become worth less than $250?Suppose that customers will buy q units of a product when the price is (40−q)/5 dollars each. 1. How many units must be sold to achieve the sales revenue of 80 dollars? 2. What should be the price of each unit?
- A drug manufacturer has developed a time-release capsule with the number of milligrams of the drug in the bloodstream given by S = 40x19/7 − 560x12/7 + 1960x5/7 where x is in hours and 0 ≤ x ≤ 7. Find the average number of milligrams of the drug in the bloodstream for the first 7 hours after a capsule is taken. (Round your answer to the nearest whole number.)the percentage of electricity generated from nature gas was 23% in 2010 and has increased by about 0.8 percentage points per year. the percentage of electricity generated from coal was 47% in 2010 and has decreased by about 0.7 percentage point per year. predict when the percentage of electricity generated from natural gas will be equal to that from coal. what is that percentage?Suppose that the ratio of males to females in the sales field of a large company is 4:5. If there are 81 sales representatives in the company, how many are male and how many are female?
- In 2015, the median age at first marriage of U.S. women (27.1years) was_______ percentage less than the median age at first marriage of U.S. men (29.2years) Whats the formula used to solve this called?A prisoner, 1.80 meters in height, was discharged in consideration due to his advanced in age. In order to receive full pardon, he must run as fast as he can towards the country border 100 meters from the prisoner's position to be totally free. Unknown to the prisoner, he was not meant to be discharged alive, due to the heinous crimes he has committed. An archer with an exceptional accuracy, hidden from the prisoner, was 15 meters behind him. As soon as the prisoner started running at a rate of a = 0.012t m/s², an arrow was released 30 seconds after the prisoner moved from rest, from a 2-meter high at an angle of 30 degrees above horizontal aiming at the middle of his body for a sure kill (neglect air resistance). a. What should be the initial velocity of the arrow if the prisoner was dead before reaching the country border? b. What was the distance from the country border to the dead prisoner?(2) The price of a dress is reduced by 20%. When the dress still does not sell, price was then reduced by of the reduced price. If the price of the dress after both reductions is $264, what was the original price?
