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One hundred elik, each 1 year old, are introduced into a game preserve. The number MCC)...
A conservation organization released 100 animals of an endangered species into a game preserve. The preserve...
A conservation organization released 100 animals of an endangered species into a game preserve. The preserve has a carrying capacity of 800 animals. The growth of the pack is modeled by the logistic curve 800 p(t) = 1 + 7e-0.16987 where t is measured in months (see figure). 12001 1000 LLLLLLLLL 800 600 400 200 TILILI 5 10 15 20 (a) Estimate the population after 8 months. (Round your answer to the nearest whole number.) animals (b) After how many...
The purchasing power P (in dollars) of an annual amount of A dollars after t years...
The purchasing power P (in dollars) of an annual amount of A dollars after t years of 5% inflation decays according to the following formula.+ P = Ae-0.050 (a) How long will it be before a pension of $70,000 per year has a purchasing power of $30,000? (Round your answer to two decimal places.) t = yr (b) How much pension A would be needed so that the purchasing power P is $50,000 after 11 years? (Round your answer to...
The number of cases of a disease), is reduced by 9% each year. (a) If there...
The number of cases of a disease), is reduced by 9% each year. (a) If there are initially 30,000 cases, express y as a function of t, the number of years elapsed. 2 Edit (b) How many cases will there be 6 years from now? Round your answer to the nearest integer The number of cases 6 years from now will be (c) How long does it take to reduce the number of cases to 1000? Round your answer to...
1. If the rate of change of the expected life span L at birth of people...
1. If the rate of change of the expected life span L at birth of people born in Macau can be modeled dL 12 di 21 + 50 , where 1 is the number of years after 1950 and the expected life span was 63 W years in 1950, find the expected life span for people born in 2000. (Keep all your calculations to 2 decimal places, and round up your final answer to the nearest integer) (30 marks)
A population numbers 14,000 organisms initially and grows by 8.8% each year. Suppose P represents population,...
A population numbers 14,000 organisms initially and grows by 8.8% each year. Suppose P represents population, and t the number of years of growth. An exponential model for the population can be written in the form P = a.b' where P = If 24500 dollars is invested at an interest rate of 10 percent per year, find the value of the investment at the end of 5 years for the following compounding methods, to the nearest cent. (a) Annual: $...
An individual is currently 30 years old and she is planning her financial needs upon retirement....
An individual is currently 30 years old and she is planning her financial needs upon retirement. She will retire at age 65 (exactly 35 years from now) and she plans on funding 20 years of retirement with her investments. Ignore any social security payments and ignore any taxes. She made $131,000 last year and she estimates she will need 75% of her current income in today's dollars to live on when she retires. She believes that inflation will average 3...
Your father is 50 years old and will retire in 10 years. He expects to live...
Your father is 50 years old and will retire in 10 years. He expects to live for 25 years after he retires, until he is 85. He wants a fixed retirement income that has the same purchasing power at the time he retires as $40,000 has today. (The real value of his retirement income will decline annually after he retires.) His retirement income will begin the day he retires, 10 years from today, at which time he will receive 24...
year, x tuition, y The data in the chart show the cost of tuition at a...
year, x tuition, y The data in the chart show the cost of tuition at a state university for the years 1997-2001. Fit a regression line to the data, where x is the number of years after 1997. 1. (1998) 10,287 Then find the coefficient of correlation. Finally, use the 2. (1999) 10,787 0. (1997) 9651 Choose the correct regression line. O A. y-610.7x+9621 O C. y 610.7x-9621 O B. y 9621x+610.7 O D. y 9621 The coefficient of correlation...
Assume that your father is now 50 years old, plans to retire in 10 years, and...
Assume that your father is now 50 years old, plans to retire in 10 years, and expects to live for 25 years after he retires - that is, until age 85. He wants his first retirement payment to have the same purchasing power at the time he retires as $40,000 has today. He wants all of his subsequent retirement payments to be equal to his first retirement payment. (Do not let the retirement payments grow with inflation: Your father realizes...
A rich aunt has promised you $2,000 one year from today. In addition, each year after...
A rich aunt has promised you $2,000 one year from today. In addition, each year after that she has promised you a payment on the anniversary of the last payment that is the last payment. She will continue to show this generosity for 20 years, giving a total of 20 payments the interest rate is 4%, what is her promise worth today? The present value of the aunt's promise is $ (Round to the nearest dollar) larger the Enter your...
A conservation organization released 100 animals of an endangered species into a game preserve. The preserve has a carrying capacity of 800 animals. The growth of the pack is modeled by the logistic curve 800 p(t) = 1 + 7e-0.16987 where t is measured in months (see figure). 12001 1000 LLLLLLLLL 800 600 400 200 TILILI 5 10 15 20 (a) Estimate the population after 8 months. (Round your answer to the nearest whole number.) animals (b) After how many...
The purchasing power P (in dollars) of an annual amount of A dollars after t years of 5% inflation decays according to the following formula.+ P = Ae-0.050 (a) How long will it be before a pension of $70,000 per year has a purchasing power of $30,000? (Round your answer to two decimal places.) t = yr (b) How much pension A would be needed so that the purchasing power P is $50,000 after 11 years? (Round your answer to...
The number of cases of a disease), is reduced by 9% each year. (a) If there are initially 30,000 cases, express y as a function of t, the number of years elapsed. 2 Edit (b) How many cases will there be 6 years from now? Round your answer to the nearest integer The number of cases 6 years from now will be (c) How long does it take to reduce the number of cases to 1000? Round your answer to...
1. If the rate of change of the expected life span L at birth of people born in Macau can be modeled dL 12 di 21 + 50 , where 1 is the number of years after 1950 and the expected life span was 63 W years in 1950, find the expected life span for people born in 2000. (Keep all your calculations to 2 decimal places, and round up your final answer to the nearest integer) (30 marks)
A population numbers 14,000 organisms initially and grows by 8.8% each year. Suppose P represents population, and t the number of years of growth. An exponential model for the population can be written in the form P = a.b' where P = If 24500 dollars is invested at an interest rate of 10 percent per year, find the value of the investment at the end of 5 years for the following compounding methods, to the nearest cent. (a) Annual: $...
year, x tuition, y The data in the chart show the cost of tuition at a state university for the years 1997-2001. Fit a regression line to the data, where x is the number of years after 1997. 1. (1998) 10,287 Then find the coefficient of correlation. Finally, use the 2. (1999) 10,787 0. (1997) 9651 Choose the correct regression line. O A. y-610.7x+9621 O C. y 610.7x-9621 O B. y 9621x+610.7 O D. y 9621 The coefficient of correlation...
A rich aunt has promised you $2,000 one year from today. In addition, each year after that she has promised you a payment on the anniversary of the last payment that is the last payment. She will continue to show this generosity for 20 years, giving a total of 20 payments the interest rate is 4%, what is her promise worth today? The present value of the aunt's promise is $ (Round to the nearest dollar) larger the Enter your...
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