Math Answers

A retailer receives a shipment of 10,000 kilograms of rice that will be used up over a 5-month period at the constant rate of 2,000 kilograms per month. If storage costs are 1 cent per kilogram per month, how much will the retailer pay in storage costs over the next 5 months?

It is estimated that x months from now the population of a certain town will be increasing at the rate of 2 + 6√𝑥 people per month. The current population is 5,000. What will be the population 9 months from now?

A manufacturer has found that marginal costs are 3𝑞 2 − 60𝑞 + 400 dollars per unit when q units have been produced. The total costs of producing the first 2 units are $ 900. What is the total cost of producing the first 5 units?

a ladder 20 feet long leans against a vertical building is the tower of the ladder slides down at a rate of p3 fits how fast is the bottom of the ladder sliding away from the building in the top of the ladder is 10 feet above the ground

∫ 3𝑥 + 6 √2𝑥 2 + 8𝑥 + 3 𝑑x

When the price of a certain commodity is p dollars per unit, the manufacturer is willing to supply x thousand units, where 𝑥 2 − 2𝑥√𝑃 − 𝑃 3 = 31 How fast is the supply changing the price when the price is $ 9 per unit and increasing at the rate of 20 cents per week 

To find a missing side length set up and solve a ____________________. Put the measurements of the smaller figure on top and the bigger figure on the bottom.

Suppose the output at a certain factory is 𝑄 = 2𝑥 3 + 𝑥 2𝑦 + 𝑦 2 units, where 𝑥 is the number of hours of skilled labour used and 𝑦 is the number of hours of unskilled labour. The current labour force consists of 30 hours of skilled labour and 20 hours of unskilled labour. Use calculus to estimate the change in unskilled labour y that should be made to offset a 1-hour increase in skilled labour x so that output will be maintained at its current level

Find 𝑑𝑦 𝑑𝑥 if 𝑥 2𝑦 + 2𝑦 3 = 3𝑥 + 2𝑦

An environmental study of a certain suburban community suggests that its average daily level of carbon monoxide will be 𝐶(𝑓) = √0.5𝑝 2 + 17 Parts per million when the population is p thousand. It is estimated that t years from now, the population of the community will be 𝑝(𝑡) = 3.1 + 0.1𝑡 2 thousand. At what rate will the carbon monoxide level be changing with respect to time 3 years from now?