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Formula to determine variable of gross profit %

Attached is a spreadsheet with two accounts. Each account has the same retail and invoice. One school has a small enrollment and the other has a larger enrollments. There is a handling fee of $2 per enrollment. There are only two variables that can be changed: brochure cost & incentives. Also, the larger the enrollment, the larg


1- Graph: -9 &#8804; -9x -27 < 9 2- Graph: -5x-15 > -5 or 3x < -18 3- Graph: -3x-3 > -9 or 3x < 18


Not sure how to do the below: solve: 2x=3y=-2 4x+6y=-4

Solve by substitution

Solve the system by substitution: y=4x-4 y=5x I have no idea how to do the above problem.


Solve: 5(a+2)=4[a-(7-a)] I am not sure how to do the above type problem and would like to know how to.

Graph: -6y>-24

I am not sure how to do the following problem and would like to know how to do it. Graph: -6y>-24 That is negative six y is less than negative 24.

Word Problem : Distance and Speed

A man walking his dog along a straight country road spots a friend one mile away. His dog sprints ahead to greet her. When the dog reaches her it turns back to the man. when it reaches him it sprints back to the woman. The process continues until the two people meet. If each person walks at 2 MPH and the dog runs at 8 mph, how f

Word Problem : Writing a Defining Equation and Solving the Equation

To stay competitive with the fast food restaurant across the street, the Pico de Gallo Restaurante offers a lunch special. Each lunch plate has an .80 charge for beans, rice and guacamole, and each taco oredered costs .75. Senora Taquita, across the street, only charges .35 for the beans, rice and guacamole, but charges .90 fo

Linear Programming / Sensitivity Analysis / Optimization: Please solve in Excel using Solver add-in and also do Sensitivity Report to solve and support answers. The EnergyBoat Company

The Background The EnergyBoat, Inc. produces and distributes high quality motor boat with highly seasonal demand. To handle this seasonality, the company has several options for its supply chain aggregated planning purposes: hiring an additional workers during peak seasons, outsourcing part of the demand to a third party manu

Adding and Multiplying Quantities with Units

The problem I'm trying to solve involves the equation P=M(av - b) where M is the mass of the runner in kilograms and v is the speed in meters per minute. The constants a and b have the values: a=1.02 x 10^-3 kcal/kg m and b=2.62 x 10^2 kcal/kg min. Does the kcal/kg m and kcal/kg min. following each value refer to wh

Solving One Equation with Two Unknowns

Problem: Solve for the variables 'a' & 'b' (only the positive solutions) where, (a - b) x (a + b) = 9x5 This is my it correct? 2a = a2 + ab -ab - b2 = 45 a2 - b2 + b2 = 45 = b2 a2 = 45 + b2 a2 + a2 - b2 = 45 - b2 + b2 a2 - b2 = 45 7squared = 49 -2squared = -4 49 + -4 =45 a = 7squared, b =

Word Problem : How much money was on the original check?

You have been given a check and when you went to cash it, the clerk reverse the dollars and cents on the check. (Eg. On the check, it's $5.50 but the clerk gave you $50.05). Now, after spending 5 cents, you ended up with twice the amount of the original check. How much money was on the original check?

Simultaneous Equations

Please see the attached file for the fully formatted problems. Problem 1 Solve the following equation to find x in terms of s and g in its simplest form. (Assuming that ) Problem 2 Solve the equation below for x

Word Problem

If Bob had $150 more saved he would have five times as much saved as he currently has saved. How much does Bob currently have saved?

Quadratic Residues

Please see the attached file for the fully formatted problems. Fix a positive integer a We say that a is a quadratic residue modulo n if there exists x such that a = x^2 mod n. (a) Let n be an odd prime and a be a non-zero quadratic residue modulo n. Show that there are exactly two values in{O.1....,n?1} satisfying x^2=amodn

Multipath Object Determination : Reflective Object

Find the deterministic solution for defining the position of a reflective object where the direct path and reflective path are known and the angle between the object and the receiver are also known. Please see the attached file for the diagram.

Euler Method : Solve Analytically

I have a differential equation with the initial condition given by: dy/dx=y^2/x+1, where y(0)= 1 (see attached file for more detail). As requested by my question, I have used the simple and improved euler methods to estimate y(1.2) with a step size of h=0.3 to 4 decimal places. I am struggling to solve the differential eq

Uniform Motion

Two mountain bikers started from the ranger station in Rocky Mountain National Park traveling in the same direction on Trail Ridge Road. The first biker left 1 hour earlier than the second and traveled 10 miles/hour. The second biker left later and traveled 15 miles/hour. By 4:00 pm, the second biker had passed the first and was

Time Series, Forecasting, Autocovariance and Autocorrelation

I would appreciate it if someone could provide the solution to QA1 of the attatched exam paper. SECTION A A1 (a) Give the definitions of the autocovariance and autocorrelation of a time series model. (b) Calculate the autocovariance and autocorrelation function for the time series Y = 3 + Zt + 1/2Zt-1 + 1/5Zt-2, where