Calculate rate at which monthly gasoline bill is increasing

Assignment Help Mathematics
Reference no: EM131013432

In October 2005, a family's gasoline consumption is 35 gallons per month and is increasing at a rate of 2.5 gallons per month.

The price of gasoline is 300 cents per gallon and is increasing at a rate of 10 cents per month.

Calculate the rate at which the family's monthly gasoline bill is increasing at this time. Give your answer correct to the nearest cent per month.

Hint: write the family's monthly gasoline consumption as the function f (t) and the price of gasoline as the function g (t). What is the family's monthly gasoline bill in terms of the functions f and g?

Reference no: EM131013432

Questions Cloud

Calculate the total delta-v requirement for each spacecraft : Spacecraft A is 600 km behind the space station and spacecraft B is 600 km ahead of the space station. At the same instant, both spacecraft apply a Dvt so as to arrive at the space station in one revolution of their phasing orbits. Calculate th..
Please help explain the tax consequences of acquiring : Please help explain the tax consequences of forming the corporation from the partnership.
Loan amortization-represent repayment of principal : Your company is planning to borrow $2.5 million on a 7-year, 15%, annual payment, fully amortized term loan. What fraction of the payment made at the end of the second year will represent repayment of principal?
Explain the history of the member jury requirement : Explain the history of the 12-member jury requirement. Do you agree with the right to a jury trial? Why is hearsay not allowed at trial? What is the significance of the Supreme Court's decision in Brady v. U.S.
Calculate rate at which monthly gasoline bill is increasing : Calculate the rate at which the family's monthly gasoline bill is increasing at this time. Give your answer correct to the nearest cent per month.
Find the total delta-v required for this non-hohmann orbit : A spacecraft in circular orbit 1 of radius r leaves for infinity on parabolic trajectory 2 and returns from infinity on a parabolic trajectory 3 to a circular orbit 4 of radius 12r. Find the total delta-v required for this non-Hohmann orbit change..
Employer-sponsored retirement plan : You have employer-sponsored retirement plan. Assume, your age is 35 and you plan to retire at 65. You can contribute $3,600 per year to this plan. Your employer will match this amount. If you can earn an eight percent return on this investment, How m..
Investor wants to acquire new stock under a rights plant : If a shareholder or investor wants to acquire new stock under a rights plant they must:
Find the minimum total delta-v and the time of flight : Two geocentric elliptical orbits have common apse lines and their perigees are on the same side of the earth. The first orbit has a perigee radius of rp ¼ 7000 km and e ¼ 0.3, whereas for the second orbit rp ¼ 32,000 km and e ¼ 0.5. Find the m..

Reviews

Write a Review

Mathematics Questions & Answers

  Question on extrema of function

Find two numbers whose product is 192 and the sum of the first plus three times the second is a minimum. (there should be a primary and a secondary equation)

  Linear algebra-vector spaces

Could you give me one of your concise explanations with examples as to how to use them? I am struggling with the abstract aspects of this concept.

  For what values of t will the velocity of the particle a

If t=0 at the start, for what values of t will the velocity of the particle A exceed the velocity of particle B.

  What is his hang time

Although his height is only 5 ft 7 in., Spud Webb, formerly of the Sacramento Kings, had a vertical leap of about 44 in. What is his hang time?

  How many cubic inches of ice cream can an ice cream cone

how many cubic inches of ice cream can an ice cream cone hold within the cone if its height is 4 inches and the

  Find number of ways using permutation

Find number of ways using permutation

  Sketch a graph of the objective function

Find the dimensions that minimize the total cost. You'll probably have to poke around a bit to find the formula for the surface area of a cone. Sketch a graph of the objective function, and check your calculus answer by locating the minimum on you..

  What is the probability that the mean weight

Parts being manufactured at a plant are supposed to weigh 40 grams. Suppose the distribution of weights has a Normal distribution with mean 40 grams and a standard deviation 2 grams. Quality control inspectors randomly select 16 parts, weigh each,..

  What is the z value such that 50% of the total area lies

The mean weight of loads of rock is 43.0 tons with a standard deviation of 12.0 tons.  If 9 loads are chosen at random for a weight check, find the probability that the mean weight of those loads is less than 38.60 tons.  Assume that the variable is ..

  Differences between permutations and combinations

What are some similarities and differences between permutations and combinations? Give a real-life example of either a permutation or combination.

  What is the maximum number of trees

If each ton of rock costs $70, each plant is $20, and each tree is $74, what is the maximum number of trees you can buy with a budget of $2,500? Write an inequality that illustrates the problem and solve.

  What are the dimensions of the garden

They use 175 feet of fencing, the long side is not more than half of the total fencing, and the total area in the garden is 1711 square feet. What are the dimensions of the garden?

Free Assignment Quote

Assured A++ Grade

Get guaranteed satisfaction & time on delivery in every assignment order you paid with us! We ensure premium quality solution document along with free turntin report!

All rights reserved! Copyrights ©2019-2020 ExpertsMind IT Educational Pvt Ltd