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A painting is purchased as an investment for $150. If its value increases continuously so that...
If it takes someone tt minutes to drive, run, or walk a mile, then their average...
If it takes someone tt minutes to drive, run, or walk a mile, then their average speed s(t)s(t), in miles per hour, is given by the formula s (t)=60/t for t>0 Find s (1) and s (10) s(1) s(10) A painting is purchased as an investment for $125$125. If its value increases continuously so that it doubles every 66 years, then its value is given by the function V(t)=125⋅2 2t/6V(t)=125⋅2t/6 for t≥0t≥0 Let f(x)= x^3+, Evaluate the following a.f(a)+2 =...
A computer purchased for $750 loses 11% of its value every year. The computer's value can...
A computer purchased for $750 loses 11% of its value every year. The computer's value can be modeled by the function v(t) = 2.6', where v is the dollar value and t the number of years since purchase. (A) In the exponential model a = and b (B) In how many years will the computer be worth half its original value? Round answer to 1 decimal place. The answer is years
A computer purchased for $750 loses 11% of its value every year. The computer's value can...
A computer purchased for $750 loses 11% of its value every year. The computer's value can be modeled by the function v(t) = a · b', where v is the dollar value and t the number of years since purchase. (A) In the exponential model a = and b = (B) In how many years will the computer be worth half its original value? Round answer to 1 decimal place. The answer is years
a. $4,200 is invested with a 5.2 % APR compounded continuously. What is the value of...
a. $4,200 is invested with a 5.2 % APR compounded continuously. What is the value of the investment after 13 years? Preview b. $700 is invested with a 3.5% APR compounded continuously. What is the value of the investment after 13 years? Preview c. $2,100 is invested with a 4.6% APR compounded continuously. What is the value of the investment after 13 years? Preview Submit Question 1. Points possible: 3 Unlimited attempts. Message instructor about this question Post this question...
(2) The value of an automobile purchased in 2009 can be approximated by the function V(t)...
(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...
A painting sold for $226 in 1978 and was sold again in 1986 for $469 Assume...
A painting sold for $226 in 1978 and was sold again in 1986 for $469 Assume that the growth in the value V of the collectors item was exponential. a) Find the value k of the exponential growth rate. Assume Vo 226 Round to the nearest thousandth.) b) Find the exponential growth function in terms of t, where t is the number of years since 1978 c) Estimate the value of the painting in 2005. Round to the nearest dollar...
1. The rate at which the value, V, of a painting changes, months after it is completed, is given ...
1. The rate at which the value, V, of a painting changes, months after it is completed, is given by the function RV) If RV(1)-100 dollars/year, what is the net change in the value of the painting from -0 to 10 years? Why is this problem so easy? b. If RV(1) 6r4 +10 dollars/year, what is the net change in the value of the painting from -1 to -4 years? Why is this problem so "easy"? If RV(t) = t....
c Nilai kini sebuah lukisan yang dibeli oleh seorang pelabur diberi oleh fungsi: The present value of a painting purchased by an investor is given by the function P(t) = 80000eT-0.09t (O s ts8) d...
c Nilai kini sebuah lukisan yang dibeli oleh seorang pelabur diberi oleh fungsi: The present value of a painting purchased by an investor is given by the function P(t) = 80000eT-0.09t (O s ts8) di mana P@) diukur dalam ringgit dan t ialah masa (dalam tahun) dari sekarang. where P(t) is measured in dollars and t is the time (in years) from the present. i) Tentukan masa optimal (berdasarkan nilai kini untuk pelabur ini menual lukisan tersebut. Determine the optimal...
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: $...
PLEASE ANSWER A, B, AND C. THANK YOU An office machine is purchased for $7600. Assume...
PLEASE ANSWER A, B, AND C. THANK YOU
An office machine is purchased for $7600. Assume that its salvage value, V, in dollars, depreciates, according to a method called double declining balance, by 40% each year and is given by V(t) = 7600(0.6074, where t is the time, in years, after purchase. a) Find V6), and explain its meaning. b) Find V' 6), and explain its meaning. c) When will the salvage value of the office machine be half of...
A computer purchased for $750 loses 11% of its value every year. The computer's value can be modeled by the function v(t) = 2.6', where v is the dollar value and t the number of years since purchase. (A) In the exponential model a = and b (B) In how many years will the computer be worth half its original value? Round answer to 1 decimal place. The answer is years
A computer purchased for $750 loses 11% of its value every year. The computer's value can be modeled by the function v(t) = a · b', where v is the dollar value and t the number of years since purchase. (A) In the exponential model a = and b = (B) In how many years will the computer be worth half its original value? Round answer to 1 decimal place. The answer is years
a. $4,200 is invested with a 5.2 % APR compounded continuously. What is the value of the investment after 13 years? Preview b. $700 is invested with a 3.5% APR compounded continuously. What is the value of the investment after 13 years? Preview c. $2,100 is invested with a 4.6% APR compounded continuously. What is the value of the investment after 13 years? Preview Submit Question 1. Points possible: 3 Unlimited attempts. Message instructor about this question Post this question...
(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...
A painting sold for $226 in 1978 and was sold again in 1986 for $469 Assume that the growth in the value V of the collectors item was exponential. a) Find the value k of the exponential growth rate. Assume Vo 226 Round to the nearest thousandth.) b) Find the exponential growth function in terms of t, where t is the number of years since 1978 c) Estimate the value of the painting in 2005. Round to the nearest dollar...
1. The rate at which the value, V, of a painting changes, months after it is completed, is given by the function RV) If RV(1)-100 dollars/year, what is the net change in the value of the painting from -0 to 10 years? Why is this problem so easy? b. If RV(1) 6r4 +10 dollars/year, what is the net change in the value of the painting from -1 to -4 years? Why is this problem so "easy"? If RV(t) = t....
c Nilai kini sebuah lukisan yang dibeli oleh seorang pelabur diberi oleh fungsi: The present value of a painting purchased by an investor is given by the function P(t) = 80000eT-0.09t (O s ts8) di mana P@) diukur dalam ringgit dan t ialah masa (dalam tahun) dari sekarang. where P(t) is measured in dollars and t is the time (in years) from the present. i) Tentukan masa optimal (berdasarkan nilai kini untuk pelabur ini menual lukisan tersebut. Determine the optimal...
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: $...
PLEASE ANSWER A, B, AND C. THANK YOU
An office machine is purchased for $7600. Assume that its salvage value, V, in dollars, depreciates, according to a method called double declining balance, by 40% each year and is given by V(t) = 7600(0.6074, where t is the time, in years, after purchase. a) Find V6), and explain its meaning. b) Find V' 6), and explain its meaning. c) When will the salvage value of the office machine be half of...
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