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A manufacturer of precision digital switches has daily cost C and revenue R functions of C(x) = 10,000 + 5x and R(x) = 7x -x2/2000 respectively, where x is the daily production of switches. Production is increasing at the rate of 80 switches per day when production is 1000 switches.
Find the rate of increase in cost when production is 1000 switches per day. dollars/day
Find the rate of increase in revenue when production is 1000 switches per day. dollars/day
Find the rate of increase in profit when production is 1000 switches per day. dollars/day
At a certain rate of simple interest $1000 will accumulate to $1110 after a certain period of time. Find the accumulated value of $500 at a rate of simple interest three fourths as great over twice as long a period of time.
a person who can row 2.6 mph in still water wants to row due east across a river. the river is flowing from the north at a rate of .8 mph. determine the heading of the boat that will be required for it to travel due east.
As we know, a set is just a collection of objects that are similar in some way, like a gaggle of geese, pride of lions, or an army of ants. To further classify our world, we can create subsets from a larger set. Let's consider the idea of a subset..
ticle is moving along the curve y=4sqrt{2x+1). As the particle passes through the point (4,12), its x-coordinate increases at a rate of 5 units per second. Find the rate of change of the distance from the particle to the origin at this instant.
A de-generator with an internal resistance r develops V volts. If the variable resistance in the circuit is R, the power generated is P=V^2/(R+r). What resistance R gives the maximum Power?
This is the question in my assignment. Give an example of a number you could place in for the variable x, and describe the shift from the original graph. Remember to note what your value you are calculating for the variable x.
Find the mean score
A flagpole is tilted at an angle of seven degrees from he horizontal and towards the sun. It casts a shadow of 14 meters when the angle of elevation of the sun is 43 degrees. Find the length of the flagpole.
an investment club invested part of 10,000 at 8% annual interest and the rest at 9%.if the annual income from this investment is 860, how much was invested at 8%.
Gretchen Schmidt plans to buy shares of two stocks. One costs $32 per share and pays dividends of $1.20 per share. The other costs $23 per share and pays dividends of $1.40 per share. She has $10,100 to spend and wants to earn dividends of $540. H..
The surface area of this pyramid is 189 cm The area of the square base is 49 cm sq . What is the area of one triangular face of the lateral surface? Show the steps of your solution and explain your work.
Working by herself, Penny can paint a billboard in 6 hours. Her new apprentice, Brian, requires 12 h to do the same job. How long would it take both of them working together to paint a billboard?
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