Concept explainers
Population Growth Model A population has the characteristics below.
(a) A total of
(b) The average number of offspring for each member of the population is
The population now consists of
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Chapter 7 Solutions
Elementary Linear Algebra (MindTap Course List)
- Population Growth Model A population has the characteristics below. a A total of 80 of the population survives the first year. Of that 80, 25 survive the second year. The maximum life span is 3 years. b The average number of offspring for each member of the population is 3 the first year, 6 the second year, and 3 the third year. The population now consists of 120 members in each of the three age classes. How many members will there be in each age class in 1 year? in 2 years?arrow_forwardPopulation Growth There are originally 255 foxes and 104 rabbits on a particular game reserve. The fox population grows at a rate of 33 foxes per year, and the rabbits increase at a rate of 53 rabbits per year. Under these conditions, how long does it take for the number of rabbits to catch up with the number of foxes? How many of each animal will be present at that time?arrow_forwardTotal Sales An entrepreneur sells $15,000 worth of sports memorabilia during one year and sets a goal of increasing annual sales by $5000 each year for the next 9 years. Assuming that the entrepreneur meets this goal, find the total sales during the first 10 years of this business. What kinds of economic factors could prevent the business from meeting its goals?arrow_forward
- Investing in Bonds A woman wishes to invest $12,000 in three types of bonds; municipal bonds paying 7% interest per year, bank certificates paying 8%, and high-risk bonds paying 12%. For tax reasons she wants the amount invested in municipal bonds to be at least three times the amount invested in bank certificates. To keep her level of risk manageable, she will invest no more than $2000 in high-risk bonds. How much should she invest in each type of bond to maximize her annual interest yield? [Hint: Let x= amount in municipal bonds and y= amount in bank certificates. Then the amount in high-risk bonds will be 12,000.]arrow_forwardInvesting in BondsA woman wishes to invest 12,000 in three types of bonds: municipal bonds paying 7 interest per year, bank certificates paying 8, and high-risk bonds paying 12. For tax reasons she wants the amount invested in municipal bonds to be at least three times the amount invested in bank certificates. To keep her level of risk manageable, she will invest no more than 2000 in high-risk bonds. How much should she invest in each type of bond to maximize her annual interest yield? Hint: Let x= amount in municipal bonds and y= amount in bank certificates. Then the high-risk bonds will be 12,000xy.arrow_forwardFinding mass transit fares The Municipal Transit Authority serves 150,000 commuters daily when the fare is 1.80. Market research has determined that every penny decrease in the fare will result in 1000 new riders. What fare will maximize revenue?arrow_forward
- Population Growth These exercises use the population growth model. 8. Bacteria Culture It is observed that a certain bacteria culturehas a relative growth rate or 12% hour. but in the presence of an antibiotic the relative growth rate is reduced to 5% per Hour.initialnumber of bacteria in the culture is 22. Population,n after 24 hours for following conditions. (a) No antibiotic is present, so the relative rate is 12%. (b) An antibiotic is present in the culture, so the relative growth rate is reduced to 5%.arrow_forwardNutrition A biologist is performing an experiment on the effects of various combinations of vitamins. She wishes to feed each of her laboratory rabbits a diet that contains exactly 9mg of niacin, 14mg of thiamin, and 32mg of riboflavin. She has available three different types of commercial rabbit pellets; their vitamin content per ounce is given in the table. How many ounces of each type of food should each rabbit be given daily to satisfy the experiment requirements? Type A Type B Type C Niacin mg/oz 2 3 1 Thiamin mg/oz 3 1 3 Riboflavin mg/oz 8 5 7arrow_forward
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