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Suppose that the number y of otters t years after otters were reintroduced into a wild...
Suppose that the equation N = 500(0.05)0.7€ represents the number of employees working t years after...
Suppose that the equation N = 500(0.05)0.7€ represents the number of employees working t years after a company begins operations. (a) How many employees are there when the company opens (at t = 0)? employees (b) After how many years will at least 100 employees be working? (Round your answer to one decimal place.) yr
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 half-life of cesium-137 is 30 years. Suppose we have a 18-gram sample. (a) Find the...
The half-life of cesium-137 is 30 years. Suppose we have a 18-gram sample. (a) Find the yearly growth factor a. (Round your answer to five decimal places.) a = (b) Find an exponential model m(t) = Cat for the mass remaining after t years. m(t) = (c) How much of the sample will remain after 85 years? (Round your answer to two decimal places.) g (d) After how long will only 3 g of the sample remain? (Round your answer...
Suppose a population is growing according to the logistic formula N = 510/1+3e^-0.41t where t is ...
Suppose a population is growing according to the logistic formula N = 510/1+3e^-0.41t where t is measured in years. (a) Suppose that today there are 250 individuals in the population. Find a new logistic formula for the population using the same K and r values as the formula above but with initial value 250. (Round equation parameters to two decimal places.) (b) How long does it take the population to grow from 250 to 360 using the formula in part...
Certain radioactive material decays in such a way that the mass remaining after t years is...
Certain radioactive material decays in such a way that the mass remaining after t years is given by the function m(t) = 180e -0.045 where m(t) is measured in grams. (a) Find the mass at time t = 0. Your answer is (b) How much of the mass remains after 50 years? Your answer is Round answers to 1 decimal place.
The population (in Millions) of a country t years after 1800 is given by the function...
The population (in Millions) of a country t years after 1800 is given by the function f(t). Use the graphs of f(0,1(1), and t'' (t) given below to answer the following questions AY 300 250 200 3- 003- 2 y=0 150 100 50 0.02- 0.01- 0+ -0.014 -0.02- y -0.03 1 50 100 150 200 yer 0 0+ 0 50 100 150 200 50 100 150 200 (a) What was the population in 1925? The population in 1925 wes milion...
012-001-Mathematics 012-13293.202010. Solve. The amount A that principal P will be worth after t years at...
012-001-Mathematics 012-13293.202010. Solve. The amount A that principal P will be worth after t years at interest rate i, compounded annually, is given by the formula A - P(1) How long will it take for an investment to double with a 3.5% interest rate? (Round to the nearest year) Select one: A. 2 years B. 23 years C. 21 years D. 20 years Convert to degree measure. Round to two decimal places, if necessary. 112 Select one: A. 247.5 B....
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: $...
9. [-14 Points] DETAILS SPRECALC7 4.6.017. This exercise uses the radioactive decay model. The half-life of...
9. [-14 Points] DETAILS SPRECALC7 4.6.017. This exercise uses the radioactive decay model. The half-life of radium-226 is 1600 years. Suppose we have a 28-mg sample. (a) Find a function m(t) = moz-th that models the mass remaining after t years. m(t) = (b) Find a function m(t) = moet that models the mass remaining after t years. (Round your value to six decimal places.) m(L) = (c) How much of the sample will remain after 2500 years? (Round your...
Suppose, household color TVs are replaced at an average age of μ = 8.2 years after...
Suppose, household color TVs are replaced at an average age of μ = 8.2 years after purchase, and the (95% of data) range was from 5.6 to 10.8 years. Thus, the range was 10.8 − 5.6 = 5.2 years. Let x be the age (in years) at which a color TV is replaced. Assume that x has a distribution that is approximately normal. (a) The empirical rule indicates that for a symmetric and bell-shaped distribution, approximately 95% of the data...
Suppose that the equation N = 500(0.05)0.7€ represents the number of employees working t years after a company begins operations. (a) How many employees are there when the company opens (at t = 0)? employees (b) After how many years will at least 100 employees be working? (Round your answer to one decimal place.) yr
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...
Certain radioactive material decays in such a way that the mass remaining after t years is given by the function m(t) = 180e -0.045 where m(t) is measured in grams. (a) Find the mass at time t = 0. Your answer is (b) How much of the mass remains after 50 years? Your answer is Round answers to 1 decimal place.
The population (in Millions) of a country t years after 1800 is given by the function f(t). Use the graphs of f(0,1(1), and t'' (t) given below to answer the following questions AY 300 250 200 3- 003- 2 y=0 150 100 50 0.02- 0.01- 0+ -0.014 -0.02- y -0.03 1 50 100 150 200 yer 0 0+ 0 50 100 150 200 50 100 150 200 (a) What was the population in 1925? The population in 1925 wes milion...
012-001-Mathematics 012-13293.202010. Solve. The amount A that principal P will be worth after t years at interest rate i, compounded annually, is given by the formula A - P(1) How long will it take for an investment to double with a 3.5% interest rate? (Round to the nearest year) Select one: A. 2 years B. 23 years C. 21 years D. 20 years Convert to degree measure. Round to two decimal places, if necessary. 112 Select one: A. 247.5 B....
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: $...
9. [-14 Points] DETAILS SPRECALC7 4.6.017. This exercise uses the radioactive decay model. The half-life of radium-226 is 1600 years. Suppose we have a 28-mg sample. (a) Find a function m(t) = moz-th that models the mass remaining after t years. m(t) = (b) Find a function m(t) = moet that models the mass remaining after t years. (Round your value to six decimal places.) m(L) = (c) How much of the sample will remain after 2500 years? (Round your...
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