152) The net income, y, (given in millions of dollars) of Pet Products Unlimited

Question

152) The net income, y, (given in millions of dollars) of Pet Products Unlimited from 2010 to 2012 is modeled by the function y-9x +15x+52, where x represents the aumber of years after 2010. Assume this trend continues and predict the year in which Pet Products Unlimited's net income will be $598 million. 153) Suppose that the manufacturer of a gas clothes dryer has found that the revenue R, in dollars, can be modeled by a function of the unit price, R(p)-4000p-4p, where the unit price is p dollars. What unit price should be established for the dryer in order to maximize the revenue? What is the maximunm revenue? 154) Since 1950, the growth in the world population in millions closely fits the exponential function P(t)-2600e , where t is the number of years since 1950. Estimate the population in the year 2035, to the nearest million. 155) The formula D-6e can be used to find the number of milligrams D of a certain drug in a patient's bloodstream h hours after the drug has been given. When the number of milligrams reaches 2, the drug is given again. What is the number of hours between injections? If Andrew has $1800 to invest at 6% per year compounded monthly, how many years will it be before he has $2700? How many years will it take if it is compounded continuously? Round your answers to 3 decimal places. 150

Explanation / Answer

152) y = 9x^2 + 15x + 52

plugging y = 598

598 = 9x^2 + 15x + 52

9x^2 + 15x - 546 = 0

dividing entire equation by 3

3x^2 + 5x - 182 = 0

( 3x + 26 ) ( x- 7) = 0

x = 7

so, in the year 2017 the net income will be $ 598 million

Related Questions

Navigate

• Browse (All)
• Browse 1
• Subjects

---

---

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.