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swiftskier96
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Help!?!?!?!?!?!?
14. The exponential decay graph shows the expected depreciation for a new boat, selling for $3500, over 10 years.
Write an exponential function for the graph. Use the function to find the value of the boat after 9.5 years. Show your work.
 one year ago
 one year ago
swiftskier96 Group Title
Help!?!?!?!?!?!? 14. The exponential decay graph shows the expected depreciation for a new boat, selling for $3500, over 10 years. Write an exponential function for the graph. Use the function to find the value of the boat after 9.5 years. Show your work.
 one year ago
 one year ago

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swiftskier96 Group TitleBest ResponseYou've already chosen the best response.0
14. The exponential decay graph shows the expected depreciation for a new boat, selling for $3500, over 10 years. Write an exponential function for the graph. Use the function to find the value of the boat after 9.5 years. Show your work.
 one year ago

binarymimic Group TitleBest ResponseYou've already chosen the best response.0
oh. well the initial value is 3500 and it looks like at t = 2 the value is 2000 try setting up a general exponential function like \[N = N _{0}e^{kt}\]
 one year ago

binarymimic Group TitleBest ResponseYou've already chosen the best response.0
where N0 is the initial value, N is the present value, k is a constant, and t is the time
 one year ago

swiftskier96 Group TitleBest ResponseYou've already chosen the best response.0
So the initial value would be 3500, the present value is 2000, im not sure what k is, and t is 9.5 years? @binarymimic
 one year ago

swiftskier96 Group TitleBest ResponseYou've already chosen the best response.0
What is k? @binarymimic
 one year ago

binarymimic Group TitleBest ResponseYou've already chosen the best response.0
you'd have to solve for it by letting N0 = 3500, N = 2000, and t = 2
 one year ago

binarymimic Group TitleBest ResponseYou've already chosen the best response.0
because at t = 2, the present value is 2000 hence 2000 = 3500e^(k*2) when you get a value for k it will be negative, and try to round it to at least 5 digits for accuracy
 one year ago

swiftskier96 Group TitleBest ResponseYou've already chosen the best response.0
Ohhh ok. I see. Thank you! :)
 one year ago

binarymimic Group TitleBest ResponseYou've already chosen the best response.0
sure. and when you get the value of k then you can write out the general equation and let t = 9.5
 one year ago

swiftskier96 Group TitleBest ResponseYou've already chosen the best response.0
Then do i add the answers together or something? Cause then ill have k = ? and k = ?.
 one year ago

binarymimic Group TitleBest ResponseYou've already chosen the best response.0
not sure what you mean but when you solve for k, then you'll use that k in the equation \[N = 3500e ^{k * 9.5}\] to solve for the present value at time t = 9.5
 one year ago
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