Mathematics, 13.07.2020 21:01 jself
Demand for Tablet Computers The quantity demanded per month, x, of a certain make of tablet computer is related to the average unit price, p (in dollars), of tablet computers by the equation x = f(p) = 100 9 810,000 − p2 It is estimated that t months from now, the average price of a tablet computer will be given by p(t) = 400 1 + 1 8 t + 200 (0 ≤ t ≤ 60) dollars. Find the rate at which the quantity demanded per month of the tablet computers will be changing 25 months from now. (Round your answer to one decimal place.) tablet computers/month
Answers: 1
![\dfrac{dx}{dp}= \dfrac{d}{dp}\left[{ \dfrac { 100 } { 9 } \sqrt { 810,000 - p ^ { 2 } } }\right] =-\dfrac{100}{9}p(810,000-p^2)^{-1/2}](/tpl/images/0704/1987/4a557.png)
![\dfrac{dp}{dt}=\dfrac{d}{dt}\left[\dfrac { 400 } { 1 + \dfrac { 1 } { 8 } \sqrt { t } } + 200 \right]=-25\left[1 + \dfrac { 1 } { 8 } \sqrt { t } \right]^{-2}t^{-1/2}](/tpl/images/0704/1987/0bc75.png)
![\dfrac{dx}{dt}= \left[-\dfrac{100}{9}p(810,000-p^2)^{-1/2}\right]\left[-25\left[1 + \dfrac { 1 } { 8 } \sqrt { t } \right]^{-2}t^{-1/2}\right]](/tpl/images/0704/1987/757ec.png)
![\dfrac{dx}{dt}(25)= \left[-\dfrac{100}{9}\times 446.15(810,000-446.15^2)^{-1/2}\right]\left[-25\left[1 + \dfrac { 1 } { 8 } \sqrt {25} \right]^{-2}25^{-1/2}\right]\\=12.009](/tpl/images/0704/1987/9f410.png)
Another question on Mathematics
Mathematics, 21.06.2019 15:30
Kevin is an insurance salesman. when he sells a policy, he makes 20 percent of the policy premium (p) up front; then each year the policy is active, he receives 15 percent of the original premium. which equation could be used to figure his total commission on a policy that has been active for five years? c=0.80p c=0.20p + 0.15p c=0.35p + 4(0.15) c=0.95p
Answers: 1
Mathematics, 21.06.2019 21:00
Hurry if the population of of an ant hill doubles every 10 days and there are currently 100 ants living in the ant hill what will the ant population be in 20 days
Answers: 2
Mathematics, 21.06.2019 23:00
Which equation can be used to measure the density of water in a spherical water tank? let w represent the number of water particles within the region.
Answers: 3
Mathematics, 22.06.2019 02:30
Megan is making bracelets to sell to earn money for the local animal shelter. it takes her 1/4 hour to pick out all the beads and 1/10 hour to string them.this week, she only has 5 1/4 hours to make bracelets. how many bracelets will megan be able to make?
Answers: 1
You know the right answer?
Demand for Tablet Computers The quantity demanded per month, x, of a certain make of tablet computer...
Questions
Mathematics, 24.02.2021 02:20
Mathematics, 24.02.2021 02:20
Mathematics, 24.02.2021 02:20
Mathematics, 24.02.2021 02:20
Biology, 24.02.2021 02:20
English, 24.02.2021 02:20
Chemistry, 24.02.2021 02:20
Mathematics, 24.02.2021 02:20
History, 24.02.2021 02:20
English, 24.02.2021 02:20
History, 24.02.2021 02:20
