606 Answered Questions for the topic Finite Math

Finite Math

08/17/20

The idea of a large, stable middle class (defined as those with annual household incomes in 2010 between $39,000 and $118,000 for a family of three), is central to America's sense of itself.

The idea of a large, stable middle class (defined as those with annual household incomes in 2010 between $39,000 and $118,000 for a family of three), is central to America's sense of itself. But... more
Finite Math

08/17/20

Entomologists have discovered that a linear relationship exists between the rate of chirping of crickets of a certain species and the air temperature.

Entomologists have discovered that a linear relationship exists between the rate of chirping of crickets of a certain species and the air temperature. When the temperature is 60°F, the crickets... more
Finite Math

08/17/20

A certain economy's consumption function is given by the equation C(x) = 0.85x + 6

A certain economy's consumption function is given by the equationC(x) = 0.85x + 6where C(x) is the personal consumption expenditure in billions of dollars, and x is the disposable personal income... more
Finite Math Math Calculus Precalculus

08/14/20

How to better communicate math?

Hello. This question is directed to professionals who manage the site.The Ask an Expert forum, although very easy to use, does not seem to offer the ability to typeset mathematics in an... more
Finite Math

08/14/20

A department store's annual sales (in millions of dollars) during the past 5 years were as follows. Annual Sales, y 5.8 6.2 7.2 8.4 9 Year, x 1 2 3 4 5

A department store's annual sales (in millions of dollars) during the past 5 years were as follows. Annual... more
Finite Math

08/14/20

The number of pending corporate fraud cases stood at 545 at the beginning of 2008 (t = 0)  and was 726 at the beginning of 2012. The growth was approximately linear.†

The number of pending corporate fraud cases stood at 545 at the beginning of 2008 (t = 0) and was 726 at the beginning of 2012. The growth was approximately linear.†1) Derive an equation of the... more
Finite Math

08/14/20

If the line passing through the points (a, 1) and (−14, 9) is parallel to the line passing through the points (−8, 8) and (a + 2, 1), what is the value of a?

If the line passing through the points (a, 1) and (−14, 9) is parallel to the line passing through the points (−8, 8) and (a + 2, 1), what is the value of a?
Finite Math

08/14/20

Given the equation 2x+5y=7

Given the equation 2x+5y=7 1) is the slope of the line described by this equation positive or negative?2) as x increase in value, does y increase or decrease?3) if x decrease by 10 units, what is... more
Finite Math

08/13/20

A tree is located 20yd to the east and 10yd to the north of a house.

A tree is located 20yd to the east and 10yd to the north of a house. A second tree is located 10yd to the east and 50yd to the north of the house. The prize of a scavenger hunt is placed exactly... more
Finite Math

08/13/20

Sailing north at a speed of 20mph, ship A leaves a port. A half hour later, ship B leaves the same port, sailing East at speed of 25 mph.

Sailing north at a speed of 20mph, ship A leaves a port. A half hour later, ship B leaves the same port, sailing East at speed of 25 mph. Let t (hours) denote the time B has been at the sea. find... more

08/09/20

Linear Algebra w/ Objective Function & Constraints

Quality Security runs a state prison. Part of their contract requires them to provide each inmate with at least the minimum nutritional requirements. After the inmate’s daily meals, it has been... more

Linear Algebra/Objective Function & Constraints

Consider the problem: “LUX Investments has three different possibilities. The first investment will pay 3% after the first year, the second 3.5%, and the third 6%. LUX has decided to invest... more

Linear Algebra/Objective Function & Constraints

Consider the problem:“Wonder Widgets Co. manufactures three types of widgets: Standard Widget (SW), Gigantic Widget (GW), and Mini-Widget (MW) . Each widget must pass through four work centers. The... more
Finite Math Calculus Precalculus

08/07/20

Transition Matrix/Markov Process

Let P be a 2x2 transition matrix for a markov processrow 1 [.4 .7]row 2 [.6 .3]If the current distribution is given by a 2x1 matrix,row 1[.8]row 2[.2]what will the distribution be after one time... more
Finite Math Calculus Precalculus

08/07/20

Transition Matrix/Markov Process

Let P be a 3x3 transition matrix for a markov process.P = Row 1 [.7 .3 .4], Row 2 [.1 .6 .1] Row 3 [.2 .1 .5]One can show that p4 = a 3x3 matrix with row 1 [.552 .5167 .5439]row 2 [.1875 .25... more

08/06/20

Matrix Operations

Let E = [2, -1, 3, 0], & F = [0, 1, -1, 2]Are E and F inverses of each other? Why?

08/06/20

Performing Matrix Operations

Let A = [0, 1, 2, 3], B = [2, 0 , 1, 1], C = 1, 0, 4, 1, 3, -1], D = [0, 0, 1, -1, 2, 1, 1, 3, 0]For each of the following either state that it is not defined or perform the indicated operation(s).... more

08/06/20

Systems of Equations & Solutions

For each of the following systems of equations, state if the system has a unique solution, an infinite number of solutions, or is inconsistent (no solutions). If the system has a unique solution,... more

08/06/20

Systems of Equations & Solutions

For each of the following systems of equations, state if the system has a unique solution, an infinite number of solutions, or is inconsistent (no solutions). If the system has a unique solution,... more

Solving Systems of Equations with Row Operations

x + 2z = 3 2x + y - 3z = 4 3x - 4y + 5z = -12

Solving Systems of Equations with Row Operations

x + y + z = 3 3x - y - 2z = -4 3x + 4y + 3z = 11
Finite Math Markov Process

08/03/20

Markov Process/Objective Function

Consider the problem: “United World Animal League (UWAL) is trying to save the endangered Madagascar bob-tailed bear. They have two pairs in their mating program and want to provide them with an... more
Finite Math Linear Algebra

08/02/20

Systems of Inequalities

Let Z = 5x + 11y. For the shaded region below where A = (2, 1), B = (10, 1), C = (8, 5), and D = (2, 9). max Z = min Z =

08/02/20

Graphing Systems of Inequalities

1. Shade the region described by the following system of inequalities. List the vertices (corner points) of this region. x + y ≥ 2 x + y ≤ 8 2x + y ≤ 10 x ≥ 0, y ≥ 0
Finite Math

07/28/20

finite math help

The​ U-Drive Rent-A-Truck company plans to spend ​$14 million on 280 new vehicles. Each commercial van will cost ​$55,000​, each small truck ​$20,000​, and each large truck  ​$70,000. Past... more

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