The value of a machine, V, at the end of t years is given by V=C(1-r)^t,where C is the original cost and r is the rate of depreciation. Find the value of a machine at the end of 3 years if the original...

exponential equation
The retail value of a 2011 15.4" Apple Macbook Pro laptop was $2199.99. The resale value of the Macbook Pro decreases by 13.8% each year. Use this information to complete...

Psychologist use and exponential model of the learning process, f(t)=c(1-e-kt) where c is the total number of tasks to be learned, k is the rate of learning expressed as a decinal, t is time in days,...

How much money should you put in a savings account now that earns 5% a year compounded daily if you want to have $32,000 in 18 years?
Would my formula be right going off the model...

After Lee gives his little sister Kara a big push on a swing, her horizontal position as a function of time is given by the equation x(t) = 3cost(e^-0.05t), where x(t) is her horizontaL displacement,...

The following formula is incorrect for compound interest with the symbols defined this way, can someone tell me why?
Compound Interest is described by A = P(1+rm)^n,...

Andrew measures the amount of a very unstable substance to be 100 moles. The half-life of this substance is 3 days (after 3 days, half is gone).
How will I write an...

Identify the variables, identify the constants, write the function, solve the equation and write a complete answer.
Suppose the acreage of forest is decreasing by 6.5% per year because...

how do i write an exponential function that models this situation where ,y, is the amount of Grace's investment and ,x, is time in years.
"Grace deposits $1000 in a...

Mute swans were imported from Europe in the nineteenth century to grace ponds. Now there is concern that their population is growing too rapidly, edging out native species. During the 2000 s, many...

We are looking for the vertical and horizontal asymptotes. How would I solve it when the whole bottom half is squared?
I get that you set the denominator to 0 to find the vertical, but how do...