In a college meal plan you pay a membership fee, then all of your meals are at a fixed price per week. If 30 meals cost $151 and 50 meals cost $216 , answer the following questions: a) Write a formula for the cost of a meal plan, C, in terms of the number of meals, n C = b) What is the membership fee? S c) What is the price per meal? S per meal d) Find the cost for 40 meals. $ e) Find n in terms of C. n= f) Finally, use your answer in part (e) to determine the maximum number of meals you can buy on a budget of $300. Maximum number of meals implies if you find that n = 3.9, then you can buy a maximum of 3 meals. You must truncate any decimal solutions (which is different from rounding). n = meals

Q: Consider the function f(r) (- 00, A, A, B), (B, C, and C, ox) where A, and C are the critical number...

A:

Q: 3. Differentiate the following function. Give the answer in a simplified and factored form. y = (x³ ...

A:

Q: et/2 f(t) attains its local or absolute minimum value(s). The minimum(s) are t =

A:

Q: Let f, g and h be R →R functions, f(x) = x² + 1, g(x) =2x – 1, and h(x) =6x + 9. Compute the followi...

A:

Q: Determine whether the series converges; if so, find its sum. Otherwise type N in the blank. 1 Σ k(k ...

A:

Q: sect tan³Od0 cos® tane B sec® sec²0 D cose E None A)

A:

Q: A software company estimates that the number of copies x, measured in thousands, of its new applicat...

A: The given data is: 2px2+3px=52,000 To find dpdx.

Q: lve the differential equation y" + 16y =0 for y(r). || olve the differential equation y" +4y = e for...

A: Please refer to the image below

Q: 9e3x dx eVe6x – 25

A:

Q: 5. Find the derivative of y= x' +2x -1

A:

Q: Use the ratio test for absolute convergence to determine whether the series converges or diverges. I...

A: We use ratio test for absolute convergence. Follow 2nd step.

Q: "l dr. IVr2 - 1 esec 2.

A:

Q: 3sec(2x-45)-2 amplitude,period,horizontal,vertical

A: We have to find the amplitude period horizontal and vertical shifts of the secent  function.

Q: 3 dx xV9- (In x)2

A: Let's find. 

Q: Classify the series as absolutely convergent, conditionally convergent, or divergent. •(– 1)*+12 k! ...

A: We have to check weather the given series is convergent or divergent in nature.

Q: (c) Determine with justification whether each of the following functions R → R is one-to-one, onto o...

A:

Q: (a) Find all the zeros of the polynomial function P(x)=x² +6.x+ 20. Use a graph to help get started....

A: Explanation of the answer is as follows

Q: S(secx – tanx)²dx

A: I have stated the used formulas in the solution

Q: How many outcomes are possible if you roll four dice?

A: We have to find the number of possible outcomes of the dice rolling event 

Q: Prove that C(n + 4, r + 1) = C(n + 3, r + 1) + C(n + 3, r). Hint: expand each Combination and use co...

A: Explanation of the answer is as follows

Q: 5. The sum of three numbers is 67. The biggest number is twice the smallest number. Half of the numb...

A: Let's assume, X is the smallest number, Y is the number next to the smallest one and Z is the larges...

Q: The number of visitors P to a website in a given week over a 1-year period is given by P(t) = 122+ (...

A:

Q: 31. Heating water. The time t, in minutes, needed to allow a cup of cold water placed in a room to w...

A: We have to solve part a and b.

Q: A baseball team plays in a stadium that holds 70000 spectators. With the ticket price at $11 the ave...

A: We have to find the price which yields the maximum revenue.

Q: roblem 1 a) Find f o g.and g o f together with their domair f(x) = x³,x € R ; g(x) %3D

A:

Q: Physically, integrating f(x)dx means finding the area under the curve from a to b area to the left o...

A:

Q: x3 - 4x2 - 7x + 10. Factorize the function f (x) to solve the equation f (x) = 0

A:

Q: dy Find given y = dx uv and u = 4x² – 5x +2 and v = 4x² – 5x – 7

A:

Q: S 2z2 cos 5z dz using Integration by parts 2 2 z² cos(5z) +cos(5z) – + C> is this the correct answer...

A: We will evaluate the given integral in order to find the given answer is correct or not in the follo...

Q: A baseball diamond is a square 90 ft on a side. A player runs from first base to second base at 15 f...

A:

Q: - Let y=f (x) + C be the antiderivative of F (x) = determine the value of C (use 3 decimal places, a...

A:

Q: Use the method of cylindrical shells to find the volume generated by rotating the region bounded by ...

A:

Q: sin2t costdt

A:

Q: Kirk's Convenience store sells 15 different brands of chocolate bars. Of these, 6 brands contain nut...

A:

Q: show complete solutions

A:

Q: Which of the following relation can be used to find the side b? a) 15 + 25 = b? b) 15? - 25° = b? c)...

A: Solution: Given Triangle is a Right Angle Triangle.so, According to pythogorean theorem, The square ...

Q: ds/dt+s/t=cost+sint/t solve using linear equation diff eq

A:

Q: . Antibiotic treatment. A biologist has a colony of a toxic strain of bacteria that covers 500 mm² i...

A: We have to find the area of the bacteria coloney as a function of time at the gives instances.

Q: Let f (x) and 8 (x) be antiderivative of h (x), The which of the following is true? d (f (x) dx 8 (x...

A:

Q: 1. Sketch in the xy - plane the domain of each function : (a) ƒ (x, y) = (Vx – 1+ Vy +1) · In (x² + ...

A:

Q: lim 19th 3. 1/-

A:

Q: Find one real root of ln(x^4) = 0.70 using five iterations of bisection method on the interval (0.5,...

A:

Q: V5(30+2) V5 arctan 5 15

A:

Q: Compute the following limit. 1-cos(x) x3 as x approaches 0

A:

Q: () 11. cot 12. sec 6.

A:

Q: A company estimates that it can sell 4,000 units each month of its product if it prices each unit at...

A:

Q: x2 + 5x + 8 if x 1 on the interval (-2, 3]. The maximum value is and the minimum value is

A:

Q: Determine whether the series converges, and if so find its sum. If the series diverges, indicate tha...

A:

Q: 10. Do the required operations and simplify. State any restrictions. (x+1}*x (x-1)? x+2x-3x+4x+3 a)....

A: We can simplify the given questions as below.

Q: y = sin(cos 3x) – sin x cos 3x

A: topic - derivative of a function