In a company with 50 employees, the average monthly salary is $5,000. If 15% of the employees receive a bonus of $1,000, what is the approximate average monthly salary for the remaining employees? (A) $4,250 (B) $4,750 (C) $5,000 (D) $5,250

Q: GreenLawns provides a lawn fertilizing and weed control service. The company is adding a special…

A: Total sales in thousands of dollar Thousands of dollars spends on radio advertisingThousands of…

Q: Determine the approximate slope of the tangent to the curve f(x) = 2x-1 x+2 at x = -1, to 1 decimal…

A: The given curve .The aim is to find the slope of the tangent line at the point .

Q: 6.7 Theorem 5.6 tells that we can form a stationary solution to the FPK equation in form of Equation…

A: The objective of the question is to understand the conditions that the matrix F must satisfy in a…

Q: Two birds a roadrunner and a crow had a race to the summit of Conical Mountain, located at Cartesian…

A:

Q: Given the following table: X f(x) 0,0 1,0 0,5 2,119 1,0 2,910 1,5 3,945 2,0 5,72 2,5 8,695

A:

Q: The figure shows the chain drive of a bicycle. How far will the bicycle move if the pedals are…

A: Circumference of the circle =2πr ; where, r is the radius of the circle.Circumference is the…

Q: Define the linear transformation T: R³ - A = -4 -5 3 11 -3 -5 6 2 5 -6 -7 25 and b = -38 8 20 66 R4…

A:

Q: V = R[x]3, W = R[x]6 be the vector spaces consisting of zero and polynomials in z of degree <3 and…

A:

Q: 4.4-3. Consider the following problem. Z = 2x₁ + x2, Maximize subject to x₁ + x₂ ≤ 40 4x₁ + x₂ = 100…

A:

Q: Q15. Which of the following statement is true? < I. p + q = p + q when p≥ 0 and q ≥ 0< II.…

A:

Q: 150 198 205 319 345 ► 410 450 100 100 100 480 430 390 215/

A:

Q: A car is traveling at a constant speed of 8 m/s. If the snow is falling at 2.2 m/s with an angle of…

A: The objective of this question is to determine the velocity of the snow as seen by the driver of a…

Q: (1) Which interval is the real number t in such that A = -1 0 4 2t 0 2t 4 is positive definite?

A: (1)The given matrix .The aim is to find the values of  for which the matrix  is positive…

Q: Question 2 ABG consists of 4 divisions with an existing plan as well as TRIP MATRIX as shown below.…

A:

Q: cubic equation

A:

Q: Limit calculations. For each real-valued sequence, explain whether it is convergent, divergent to…

A:

Q: It was noon on a cold December day in Tampa: 16°C. Detective Taylor arrived at the crime scene to…

A: At o' clock the body temperature is The surrounding temperature is At  the body temperature is

Q: For x E R, how many real roots are there in the equation 3x² − 4|x² − 1| + x − 1 = 0

A: For x∈R, we need to find the number of real roots of the equation 3x2−4|x2−1|+x−1=0.

Q: (6) Let {fn} be a sequence of measurable functions. We say that fn tends to f in measure if for any…

A:

Q: Consider the following 2nd order PDE, Uxx+2Uxy +4U₂ = 0. (i) Write down its principal part and then…

A: According to guidelines we can do only first question

Q: products, A and B, and the resources, Q, R, and S, required to produce them. Resource Q R S Profit…

A:

Q: Which pocket will the ball end up in? Assume that the ball is shot at a 45 degree angle directly…

A: The objective of this question is to determine the final position of the ball on a frictionless pool…

Q: 2. (a) (b) Simplify the following expressions. tan(-0) sin(7-8) 1+cos (2+0) cos(+0)

A: The given expressions,(a) (b) .The aim is to simplify the given expressions.

Q: For each of the following equations, write down the order of the equation, determine whether each of…

A:

Q: Find the two coupled Euler-Lagrange equations giving the stationary path of the functional S[y₁,92]…

A:

Q: If a golf ball has horizontal velocity of 7.0 m/s and vertical velocity of 3.7 m/s, what is the golf…

A: The objective of this question is to find the resultant velocity of a golf ball given its horizontal…

Q: Example 3 The sales tax in a town is 9.4%. How much tax will you pay on a $140 purchase? Example 4…

A: The first part of the question is asking for the amount of sales tax you would pay on a $140…

Q: Suppose that U is a solution to the Laplace equation in the disk Ω = {r ≤ 1} and that U(1, θ) = 5 −…

A: is the solution of the Laplace equation in the disk

Q: In Problems 15-40, use the disk or washer method to find the volume of the solid of revolution that…

A: We have to use disk or washer method to find the volume of the solid of revolution that is formed by…

Q: Use the surface integral in Stokes' Theorem to calculate the flux of the curl of the field F across…

A:

Q: Evaluate the line integral Vo• dr for the following function op and oriented curve C (a) using a C…

A: GivenPart-(a)

Q: Find the first four nonzero terms of the Maclaurin series for f(x) = cos x. Hence, find 2 cos 3x -2+…

A:

Q: 1. Show that the series converges uniformly on [0, 2]. 8 n=1 nx² n³ + x³

A:

Q: Let (r, θ) denote the usual polar coordinates. Show that if U(r, θ) is a harmonicfunction, then so…

A: The objective of this question is to prove that if U(r, θ) is a harmonic function, then V(r, θ) =…

Q: Let V be a real vector space with basis v1, v2 and define a dot product by v1 · v1 = 1, v1 · v2 = v2…

A: (V,•) is real inner product space iff associated matrix A is positive definite.

Q: 2. For n E N, let fn(2) - converges uniformly on [0, 1]? nx +sin(nx?) n 1 (a) Show that the sequence…

A:

Q: The following are historical demand data: YEAR SEASON 2011 2012 Spring Summer Fall Winter Spring…

A:

Q: Q1. Using the Newton's method to find the root of the function f(x) = x log(x) - 1.2 = 0, and take…

A:

Q: D,I 3.1-6. Use the graphical method to solve the problem Maximize Z = 10x₁ + 20x2, subject to -x₁ +…

A: In this question, we will solve the LPP by using graphical method.

Q: only c please

A: The objective of the question is to find the value of U at the origin and to determine the location…

Q: A: Find the Fourier transform f(t) = {sin nt, 0, for 0 <t<1 otherwise. B: Find the Fourier transform…

A: The formula for the Fourier Trasnform is

Q: Consider the following eigenvalue problem: X" + XX 0 X'(0) = 0, X(T) = 0. = (i) Show that all the…

A:

Q: 02: Find a solution of: a² + 2y²-y-2B=0 a²-8y² + 10ß = 0 a² 7γβ Using Newton Raphson. When the…

A:

Q: Let (r, 0) denote the usual polar coordinates. Show that if U(r, 0) is a harmonic function, then so…

A: Given that  denotes the usual polar coordinates.We need to show that, if  is a harmonic function,…

Q: Solve the proportion 5/2 for the unknown value .x. mple 14 A map scale indicates that ½ inch on the…

A:

Q: 1. For the function f(x)= -5x² approximate the slope of the tangent line at (-1,-5) using the secant…

A:

Q: If A = (aj) = Cmxn. Show that m n tr(A" A) = ΣΣ|a|2 i=1 j=1

A:

Q: 4. Find the volume of solid G bounded above the cone z = below the sphere x² + y2 + (z-2)² = 4.…

A: The objective of this question is to find the volume of the solid G that is bounded above by the…

Q: Vector Mechanics for Engineers: Statics Q Ch6: Locate the centroid of the shaded area 4 m ₁² = 4x 4…

A: The centroid of the shaded region is (x¯ , y¯) where x¯=MxM  ,  y¯=MyMM=∬RdA , Mx=∬RxdA ,…

Q: Laplace transforms method.

A: