Asked by Barb
The monthly income I, in dollars, from a new product is given by
I(t) = 81000 − 45000e^-0.005t where t is the time, in months, since the product was first put on the market. (Round your answers to the nearest dollar amount.)
(a) What was the monthly income after the 30th month and after the 130th month?
I(30) = $
I(130) = $
(b) What will the monthly income from the product approach as the time increases without bound?
$
I(t) = 81000 − 45000e^-0.005t where t is the time, in months, since the product was first put on the market. (Round your answers to the nearest dollar amount.)
(a) What was the monthly income after the 30th month and after the 130th month?
I(30) = $
I(130) = $
(b) What will the monthly income from the product approach as the time increases without bound?
$
Answers
Answered by
Henry
I(30) = 81,000 - 45,000e^-0.005t =
81,000 - 45,000*e^(-0.15) = $42,268.14
I(130) = 81,000 - 45,000*e^(-0.65) =
b. I(approach): 81,000 - 0 = $81,000
81,000 - 45,000*e^(-0.15) = $42,268.14
I(130) = 81,000 - 45,000*e^(-0.65) =
b. I(approach): 81,000 - 0 = $81,000
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