A commercial sewing machine costs $18 000 when new. Its value depreciates by $200 for every 1000 pairs of jeans that are sewn using it. Let Vn be the value (in dollars) of the sewing machine after n thousand pairs of jeans have been sewn. A recurrence relation that models the depreciating value of the sewing machine over time is: Vo = 18,000 Vn+1 = Vn - 200 Use the recurrence relation to find the value of the sewing machine after it has sown 5000 pairs of jeans. The sewing machine will be sold after it has produced 20 000 pairs of jeans. How much will it be worth then? If the sewing machine continues to depreciate at the same rate for the rest of its life, how many pairs of jeans will it take to have zero value? A different model of sewing machine costs $20 000 and depreciates by $250 for every 1000 pairs of jeans that are sewn using it. write down a recurrence relation to model this situation

Q: (a) maximize - 4x1 + x2 subject to x1 + x2 ≤2, x1-2x24, x1+x27, x1, x20

A: In the graphical method we first draw the common region in which all the constraints are satisfied…

Q: Please don't provide handwritten solution ....

A: Mn=P.Dn.P−1Explanation:M=⎣⎢⎡​970​−790​15−11​⎦⎥⎤​  Eigenvalues (λ):To find the eigenvalues, we solve…

Q: 4. The vertical position, h, in metres, of a Ferris wheel is modeled using the function h(t) =…

A: The graphic representation of the given information is:This means that the Ferris wheel takes 40…

Q: Suppose that the mass in a mass-spring-dashpot system with mass m = 25, damping constant c = 60, and…

A:

Q: 18 dx 2x + x√x S

A: The objective of the question is to find the integral of the function 18(2x + x√x) with respect to…

Q: Question 5. Let A = {0, 1} and B = {1,2}. Find: (a) (A x B) U (B × B) (b) P(A) \ P(B).

A: Part (a):  (A × B) ∪ (B × B) = {(0,1), (0,2), (1,1), (1,2), (2,1), (2,2)}.Part (b): P(A) \ P(B) =…

Q: 3. Suppose Aab [24 6 C has the property that det A = -1. d e f Find the determinants of the…

A: Since you have posted a question with sub-parts greater than three. We will provide the solution…

Q: A completed project consisted of the following activities, many of which were delayed: Activity…

A: A completed project consisted of the following activities, which are listed in the table.Activity…

Q: Problem 1: Let V and W be finite-dimensional vector spaces. a.) Show that the map L(V, W) → L(W',…

A:

Q: Need help with these two Intro to Elementary Number Theory Homework problems.

A: (601−1)!≡600 modulo 601(816−1)!≡0 modulo 816Explanation:

Q: 2. y' = y² −2xy+x² +1 { x+ 1 = C c} V-x

A:

Q: The estimated resale value R (in dollars) of a company car after t years is given by R(t) = 24,319…

A:

Q: (1) For these problems, make a graph and label the a and b, and so on. (a) Give an example of a…

A: For these problems, make a graph and label the a and b, and so on. (a) Give an example of a function…

Q: Solve by using Homogenous differential equation method: 3- dy Зу dx X +tan() X

A:

Q: Question 2 (a). Let v(0) = sin(0), where is in radians. Graph v(0). Label intercepts, maximum…

A: Given function is (a) Noted that In other words , maximum values of  is  and attained minimum values…

Q: #7: Let x = (2u²³-v³) - 8u² +4² +32u-16v+4 y=u+2v-4 Find the point (10, Vo) for which the inverse…

A: Given functions are

Q: Solve the following inequality using an algebraic method(intervals chart). -x(x-1.6)(x+2)(x+0.75) ≥…

A:

Q: Problem 13  find the general solution of the given second-order differential equation.  3y''+2y'+y=0

A:

Q: 1. For each pair of integers m and n, use the division algorithm to divide m by n. Write the result…

A: For each of the pair of integers  and using division algorithm to divide  by  and write the result…

Q: Given the complex numbers find the real and imaginary parts of the complex number: Re ( 2 ) = Im (2)…

A: The objective of this question is to identify the real and imaginary parts of the given complex…

Q: y= -2y1 +3y2, y2 = 4y1 - 2 91 (0) 4, y2 (0) = 3

A:

Q: solve this question please:  Let X = {1, 2, 3}, Y = {1, 2, 3, 4}, and Z = {1, 2}:a. Define a…

A: The functions are as follows: a.f(1)=1f(2)=2f(3)=3. b.g(1)=1g(2)=2g(3)=1.Explanation:Steps and…

Q: Seven office mates, three women (Fran, Gladys and Helen) and four men (John, Karl, Leonard and…

A: ii. 4Explanation:Restrictions:i. Fran, the only day she eats at a restaurant is Wednesday and on the…

Q: Let M 9 -6-9 13 -6-5 0 0 -2 Find formulas for the entries of M", where n is a positive integer.…

A: To find the power of a matrix, we have to find the eigenvalue and eigenvector. If the matrix is…

Q: For each of the questions below, answer "always,” “sometimes,” or “never,” then explain your answer.…

A: (a) Always. If a≡2(mod21), then there exists an integer k such that a=2+21k. Since 21=3×7, a can be…

Q: Use the variation of parameters to solve the given equation: (a) y"+y"-4y'-4y = 2e¯* +4e²x

A:

Q: 7. Complete the spreadsheet section below so that columns A through C are complete for numbers 1 to…

A: We have considered 4 column, A, B, C, DA (we have considered 1 to 100, x values)B (we have…

Q: Problem #5: Verify that there exists a function g: R² → R² such that ū = (u, v) = g(x) for the…

A: Given the system .Rewriting as, .We can apply the inverse function theorem that says for a…

Q: solve parts c and d for this question.

A: The objective of the question in the provided inquiry is to graphically solve the given piecewise…

Q: Let S C C be a domain that is bounded, and let f: SC be continuous, and f = O(U) is holomorphic. If…

A: To prove that f must have a zero in S, it can use the Maximum Modulus Principle. The Maximum Modulus…

Q: Problem #7: A financier has made a loan of $15 million. The contract for the loan calls for payment…

A: Face value or Maturity value of the loan = $15 millionThe nominal rate of interest is 8.7% quarterly…

Q: ving statements is true about the ODI sin(x³)y" + x²y + sin(x)y= xactly one regular singular point.…

A:

Q: 6. Determine whether the improper integral sin x dx In x converges or not and justify your answer.

A:

Q: You have 20 years left for your retirement. You wish to accumulate a sum large enough by that time…

A: Here's how to calculate the monthly savings required to reach your retirement goal:Step 1: Calculate…

Q: 2. 2xydx+(4y+3x²)dy = 0; y(1)=1 {y²+x²y³ =2}

A:

Q: Find the sexagesimal reciprocal of 36. (i.e. reciprocal of 36 in sexagesimal)

A: mber 3636

Q: Use Laplace transforms to solve the initial value problem y" + 4y cost, y(0) = 1, y'(0) = -1. You…

A: We have to solve the given problem by using Laplace transform.

Q: (a) Which activities form the critical path? (b) What is the estimated time of the critical path?…

A: “Since you have posted a question with multiple sub parts, we will provide the solution only to the…

Q: Find the area of the lune ABCD at right using Hippocrates' quadrature of the lune ideas. The…

A:

Q: = Let p¹²-2x+1, p² = 3 +3x+1 and p35x + 10. Let = x³-3x + 4. Is q in me span of pl,p2 and p3?

A:

Q: Probability. Don't understand.

A: The objective of the question is to calculate the probabilities of certain events occurring when…

Q: Chrissy earns $19.00 per hour and pays taxes at a rate of 30%. She works 40 hours per week at…

A: The objective of this question is to calculate Chrissy's monthly take-home pay after taxes, given…

Q: A large container made to hold water has the equation z = 8 (x² + y²) 7/2 (The z-axis points up.)…

A: (a)Inagine a circular layer (green colour) of water at depth z.The radius of this circular disc is…

Q: Let F be a field. Two variations of the ring of polynomial over F are the ring of formal power…

A: To show that F[[X]] (the ring of formal power series) and F((X)) (the ring of formal Laurent series)…

Q: 4. (a) (b) y" (t) + 2025y' (t) + 2024y(t) Consider the following IVP with impulsive forcing: t- =…

A:

Q: •C W The man in the diagram is trying to move a large box by pushing on it with a force, P. The box…

A:

Q: A population N is controlled by the following discrete difference equation, specified in…

A: Given . The parameters are We will assume λ≠1.The fixed points for a difference equation are given…

Q: 3 If xyz + z³ = 0, then Oz/ax is yz xy + 32² yz xy +32² Oxy+3z² yz xy +3z² yz O None of the above

A:

Q: Write an equation for a rational function with the given characteristics. Vertical asymptotes at x =…

A: The characteristics given are:1. Vertical asymptotes at x=−3 and x=−1.2. x-intercepts at (1,0) and…

Q: Find the steady state solution of the heat conduction equation a²uxx ut that satisfies ux(0, t) = 0,…

A: