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 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: $...
A laptop computer is purchased for $3900. Each year, its value is 70% of its value the year before. After how many years will the laptop computer be worth $400 or less? Write the smallest possible whole number answer.
My new car was purchased for $30,000 but every 6 months it loses 10% of its previous value a) write the equation for the Value of the Carly, after (x)months B) How Long before it is worth only $10,000? C) u
A painting is purchased as an investment for $150. If its value increases continuously so that it doubles every 6 years, then its value is given by the function V(t) = 150 2/6 for t > 0 where t is the number of years since the painting was purchased, and V(t) is its value in dollars) at time t. Find V(12) and V(18). V(12) = V(18) =
ANSWER ALL PLEASE! Applications of Exponential Equations Many real-life situations can be modeled by an exponential growth function of the form A(t) Ao ett constant that affects the rate of growth or decay, and t represents time. Using your knowledge of writing exponential equations that you did in the beginning of this chapter, what would A or an exponential decay function of the form A(t)-A ett where k represents the represent? 1. The amount of carbon-14 present in animal bones...
A new truck costs $32000. The truck's value depreciates over time which means it loses value. For tax purposes depreciation is calculated linearly. So V (current value) is equal to the P (original price) -n (years) times x (depreciation value). V = P- nx.f t Ihe truck is worth $24,500 after three years find the depreciation value constant x. Now use that to write a formula write a general formula for the value (V) after n years. Your equation will only...
(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...
can someone help me with the step by step solution to this? 8) A Tesla Model X sells for $104,350; if the car depreciates or loses 17% of its value each year: 10 pts a) Find its value after 4 years b) How soon will it be worth only half its original value?
The value of a certain automobile that is t years old can be modeled by V(t) = 14,448/0.83)'. According to the model, when will the car be worth (a) $60002 (b) $3000? (c) $2000? (a) The cat will be wonh S6000 after yea (Type an integer or a decimal rounded to the nearest tenth as needed)