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Repeat Example 6 if near the end of summer, the supply and-demand equations are
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Chapter A Solutions
Finite Mathematics for Business, Economics, Life Sciences and Social Sciences
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- 1. The number of trees present in a forest is declining at a rate of 120 trees per month. Start with 100,000 trees. a. Create an equation for the number of trees present after t years (not after each month). b. After how many years do the numbers of trees reach $94,960. Show all the work.arrow_forward6. An investment account was opened with $3,000 in the year 2000, and decreased at a rate of every year a) What are the independent and dependent variables? Include labels and units. 19 b) Is the relationship between the variables in part (a) linear or exponential? Explain HOW you know. c) Write an equation expressing the relationship between the variables. d) If the investment continues to decrease at this rate, what will it be in the year 2020? Show how you use the equation in Part (c) and round your answer to the nearest cent.arrow_forward12. A laptop computer was purchased for $2500. After 2 years, the value of the laptop is expected to be $1500. Give exact values in your equations below. (a) If the value of the laptop follows a linear model, express the value of the laptop as a function of the years since it was purchased. (b) If the value of the laptop follows a general exponential model, express the value of the laptop as a function of the years since it was purchased.arrow_forward
- Suppose that the long-lasting light bulb supply equation is given by p = 1.04 q - 7.03 and that the demand equation for light bulbs is p=-0.81q + 7.5, where q is in thousands of cases. Find the equilibrium price and quantity and plot the two equations in the same coordinate system.arrow_forwardPlease don't provide handwritten solution ...arrow_forward1. The growth of a population of a fishpond is proportional to its current population. A pond initially has 500 fish. After six months it has doubled in population. The owner will only allow fishing in his pond after it has grown to a population of 10,000. When will the owner allow fishing?arrow_forward
- 1. The growth of a population of a fishpond is proportional to its current population. A pond initially has 500 fish. After six months it has doubled in population. The owner will only allow fishing in his pond after it has grown to a population of 10,000. When will the owner allow fishing?arrow_forwardOn the basis of data from 1990 to 2006, the median income y in year x for men and women is approximated by the equations given below, where x = 0 corresponds to 1990 and y is in constant 2006 dollars. If these equations remain valid in the future, in what year will the median income of men and women be the same? Men: - 244x + 2y = 55,562 Women: - 859x + 3y = 46,012 The median income of men and women will be the same in the yeararrow_forward2. Sometimes after a patient takes a drug, the amount of medication A in the bloodstream can be modeled by A Age Tt, where Ao is the initial concentration in milligrams per liter, r is the hourly percentage decrease (in decimal form) of the drug in the bloodstream, and t is the elapsed time in hours. Suppose that a drug's concentration is initially 2 milligrams per liter and thatr - 0.2. Find the drug concentration after 3.5 hours and after 10 hours.arrow_forward
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