The equation V = 30100 ( 0.92 )^t represents the value (in dollars) of a car...
The equation V = 30100 ( 0.92 )^t represents the value (in dollars) of a car t years after its purchase. Use this equation to complete the statements below.
The value of this car is [increasing/decreasing] at a rate of
[dollars per year, percent per mile, percent, percent per year,
years, dollars]
The purchase price of the car was _______ [years, percent, percent
per mile, percent per year, dollars per year, dollars].
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The equation V = 30100 ( 0.92 )^t represents the value (in
dollars) of a car...
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Suppose B(t) is the balance on your five-year car loan. B is in dollars, t is in years. B(O) -Bo ...
Suppose B(t) is the balance on your five-year car loan. B is in dollars, t is in years. B(O) -Bo is the purchase price (including tax, registration, warranties, spoiler, alloy wheels, moon roof, etc.) B(5)-0, since the loan is to be paid off in five years. Your credit history scored you a nominal annual interest rate (compounded continuously) of 5%. Even though you make your monthly payment once per month, let's assume for simplicity that you pay continuously at a...
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help with part b
Let f(t) be the balance in a savings account at the end of t years and suppose y f(t) satisfies the differential equation y' 0.05y - 10,000. (a)Suppose that after one year the balance is $180,000. Is the balance increasing or decreasing at that time? At what rate is it increasing or decreasing at that time? (b)Write the differential equation in the form y k(y M) (c)Describe the differential equation in words. (a) The balance is...
Tiana's car was worth $15.000 at the beginning of 2000 and the value of the car...
Tiana's car was worth $15.000 at the beginning of 2000 and the value of the car decreased exponentially, decreasing by 23% each year. a. Write a function f that determines the value of Tiana's car (in dollars) in terms of the number of years since the beginning of 2000. f(t) = Preview b. How many years after the beginning of 2000 was Tiana's car worth $6,000? years Preview c. How many years after the beginning of 2000 was Tiana's car...
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: $...
PROBLEM 1. SIMPLE MODELING REVIEW PROBLEM. Suppose B(t) is the balance on your five-year car loan...
PROBLEM 1. SIMPLE MODELING REVIEW PROBLEM. Suppose B(t) is the balance on your five-year car loan. B is in dollars, t is in years. B(0) = Bo is the purchase price (including tax, registration, warranties, spoiler, alloy wheels, moon roof, etc.). B(5) -0, since the loan is to be paid off in five years. Your credit history scored you a nominal annual interest rate (compounded continuously) of 5%. Even though you make your monthly payment once per month, let's assume...
p(t) hundred dollars per year p(t) = 0.6677-121+ 40t + 80 gives the rate of change...
p(t) hundred dollars per year p(t) = 0.6677-121+ 40t + 80 gives the rate of change of profit in hundred dollars per year) at Java Joe's, t years after 2000,0 St<12. Check: p(4)= 90.688 Use this information to answer the next six questions. 8 9 10 11 12 1. Between 2000 and 2012, the profit was highest in [Select] • hundred dollars. II. From 2005 to 2010, the profit at Java Joe's decreased by 36.719 III. The graph of the...
p(t) hundred dollars per year p(t) = 0.6677-1212 +40t +80 gives the rate of change of...
p(t) hundred dollars per year p(t) = 0.6677-1212 +40t +80 gives the rate of change of profit (in hundred dollars per year) at Java Joe's, t years after 2000, 0 SI 512. Check: p(4)=90.688 Use this information to answer the next six questions. 8 9 10 11 12 1. Between 2000 and 2012, the profit was highest in Select II. From 2005 to 2010, the profitat Java Joe's decreased by Select a hundred dollars. III. The graph of the accumulation...
As the financial consultant to a classic auto dealership, you estimate that the total value (in dollars) of its collection of 1959 Chevrolets and Fords is given by the formula v = 308,000 + 980t^2 (t...
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(2) The value of an automobile purchased in 2009 can be approximated by the function V(t) 25(0.85), where t is the time, in years, from the date of purchase, and V(t) is the value, in thousands of dollars (a) Find the rate, in thousands of dollars per year, at which the value is decreasing at time t (b) Find the equation of the tangent line to V(t) at t point-slope form. Use exact values. 1 year. Leave your answer in...
Suppose B(t) is the balance on your five-year car loan. B is in dollars, t is in years. B(O) -Bo is the purchase price (including tax, registration, warranties, spoiler, alloy wheels, moon roof, etc.) B(5)-0, since the loan is to be paid off in five years. Your credit history scored you a nominal annual interest rate (compounded continuously) of 5%. Even though you make your monthly payment once per month, let's assume for simplicity that you pay continuously at a...
help with part b
Let f(t) be the balance in a savings account at the end of t years and suppose y f(t) satisfies the differential equation y' 0.05y - 10,000. (a)Suppose that after one year the balance is $180,000. Is the balance increasing or decreasing at that time? At what rate is it increasing or decreasing at that time? (b)Write the differential equation in the form y k(y M) (c)Describe the differential equation in words. (a) The balance is...
Tiana's car was worth $15.000 at the beginning of 2000 and the value of the car decreased exponentially, decreasing by 23% each year. a. Write a function f that determines the value of Tiana's car (in dollars) in terms of the number of years since the beginning of 2000. f(t) = Preview b. How many years after the beginning of 2000 was Tiana's car worth $6,000? years Preview c. How many years after the beginning of 2000 was Tiana's car...
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: $...
PROBLEM 1. SIMPLE MODELING REVIEW PROBLEM. Suppose B(t) is the balance on your five-year car loan. B is in dollars, t is in years. B(0) = Bo is the purchase price (including tax, registration, warranties, spoiler, alloy wheels, moon roof, etc.). B(5) -0, since the loan is to be paid off in five years. Your credit history scored you a nominal annual interest rate (compounded continuously) of 5%. Even though you make your monthly payment once per month, let's assume...
p(t) hundred dollars per year p(t) = 0.6677-121+ 40t + 80 gives the rate of change of profit in hundred dollars per year) at Java Joe's, t years after 2000,0 St<12. Check: p(4)= 90.688 Use this information to answer the next six questions. 8 9 10 11 12 1. Between 2000 and 2012, the profit was highest in [Select] • hundred dollars. II. From 2005 to 2010, the profit at Java Joe's decreased by 36.719 III. The graph of the...
p(t) hundred dollars per year p(t) = 0.6677-1212 +40t +80 gives the rate of change of profit (in hundred dollars per year) at Java Joe's, t years after 2000, 0 SI 512. Check: p(4)=90.688 Use this information to answer the next six questions. 8 9 10 11 12 1. Between 2000 and 2012, the profit was highest in Select II. From 2005 to 2010, the profitat Java Joe's decreased by Select a hundred dollars. III. The graph of the accumulation...
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