2. A coffee shop determines that the daily profit on scones obtained by charging s dollars per scone is P(s) = -20s? + 150s – 10. The coffee shop currently charges $3.25 per scone. Find P' (3.25), the rate of change of profit when the price is $3.25, explain what it means, and decide whether or not the coffee shop should consider raising or lowering its prices on scones. Show detailed work for credit.

Q: A marine manufacturer predicts they will sell N(x) jet skis after spending x thousand dollars on…

A: Here, N(x) is the number of jet skis and x is in thousand dollars.

Q: The populations (in thousands) of two different cities are given by P1=45(1.038)t and P1=48(1.025)t,…

A:

Q: 15/20 in lowest terms?

A: Solving:

Q: Y [ 1 1 0.081 5. In 0.046 %3D 8.3145 273.15 293.15

A: Here the equation have some logarithmic values that we need to calculate and in the right hand side…

Q: v(+) = te ta mph far does the object travel Gst 5 bars?

A:

Q: ween z= 1.42 and z= 2.17

A: The required area between the z= 1.42 and z= 2.17 can be found by using the standard normal table.…

Q: Solve. 5 2x Solve. 5 [2a - (x + 3)] = 5 – x %3D 5. O A. x =- 10 B. x = O C. x = O D. a = 3. 5/4415

A:

Q: Solve for x: 14(1.1*) = 20(1.13*)

A: To solve for x:141.1x=201.13x

Q: The monthly rent for the first house is $1, 190, and the Bainters can expect it to increase 1.7%…

A:

Q: 0.3 - 0.12x = 0.18x + 0.06

A: Here I am attaching image so that you understand each and every step.

Q: The monthly sales S (in hundreds of units) of baseball equipment for an Internet sporting goods site…

A: The Monthly sales S of baseball equipment fr an internet sporting goods site are approximated by…

Q: The cholesterol level of patients who had heart attacks was measured two days after the heart att…

A:

Q: x + 0.27x = 321.1

A: The given equation is

Q: 9- * 7 = ]+*[ 29 |-* = X Solve for X.

A:

Q: Solve 2logs(Vx)- log;(6x– 1)=0.

A:

Q: Because the price of the new package is the same as the original package,  the price of each piece…

A: Given: The price of the new package is the same as the original package, the price of each piece (ie…

Q: 1.574 = 0.000173 * f2

A:

Q: 16) The population of Hightstown, NJ can be modeled by the equation P = 5216(1.02)' where t is the…

A: Population equation is P=5216(1.02)t a) substitute t=0    P=5216(1.02)0     P=5216   Population in…

Q: b. Water that is initially contaminated with a concentration of 9 milligrams of pollutant per liter…

A: Given pollutant per liter of water t hours after the purification process begins is C(t)=934t/2

Differential Equations

Have you ever observed the movement of the satellites and rockets or how the planets go around the sun in their orbits? How will you determine their motion? Definitely they follow some scientific laws and these kinds of problems are framed as differential equations.