uppose the equations E(n)=8000+500n and G(n)=16,000+2000n give the total cost of operating an electrical (E) versus a gas (G) heating/cooling system in a home for n years.a. Find the cost of heating a home using electricity for 5 years.The cost of heating a home using electricity for 5 years is $Enter your answer in accordance to the item a) of the question statement.b. Find the cost of heating a home using gas for 5 years.The cost of heating a home using gas for 5 years is $Enter your answer in accordance to the item b) of the question statement.c. Find the initial (or installation) cost for each system.The installation cost of the electric system is $Enter your answer; The installation cost of the electric system is $.The installation cost of the gas system is $Enter your answer; The installation cost of the gas system is $.d. Determine how many years it will take before $60,000 has been spent in heating/cooling a home that uses:i. ElectricityIt will take Enter your answer in accordance to the item i) of the question statement years before $60,000 has been spent on heating/cooling.ii. GasIt will take Enter your answer in accordance to the item ii) of the question statement years before $60,000 has been spent on heating/cooling.
Family of Curves
A family of curves is a group of curves that are each described by a parametrization in which one or more variables are parameters. In general, the parameters have more complexity on the assembly of the curve than an ordinary linear transformation. These families appear commonly in the solution of differential equations. When a constant of integration is added, it is normally modified algebraically until it no longer replicates a plain linear transformation. The order of a differential equation depends on how many uncertain variables appear in the corresponding curve. The order of the differential equation acquired is two if two unknown variables exist in an equation belonging to this family.
XZ Plane
In order to understand XZ plane, it's helpful to understand two-dimensional and three-dimensional spaces. To plot a point on a plane, two numbers are needed, and these two numbers in the plane can be represented as an ordered pair (a,b) where a and b are real numbers and a is the horizontal coordinate and b is the vertical coordinate. This type of plane is called two-dimensional and it contains two perpendicular axes, the horizontal axis, and the vertical axis.
Euclidean Geometry
Geometry is the branch of mathematics that deals with flat surfaces like lines, angles, points, two-dimensional figures, etc. In Euclidean geometry, one studies the geometrical shapes that rely on different theorems and axioms. This (pure mathematics) geometry was introduced by the Greek mathematician Euclid, and that is why it is called Euclidean geometry. Euclid explained this in his book named 'elements'. Euclid's method in Euclidean geometry involves handling a small group of innately captivate axioms and incorporating many of these other propositions. The elements written by Euclid are the fundamentals for the study of geometry from a modern mathematical perspective. Elements comprise Euclidean theories, postulates, axioms, construction, and mathematical proofs of propositions.
Lines and Angles
In a two-dimensional plane, a line is simply a figure that joins two points. Usually, lines are used for presenting objects that are straight in shape and have minimal depth or width.
uppose the equations E(n)=8000+500n and G(n)=16,000+2000n give the total cost of operating an electrical (E) versus a gas (G) heating/cooling system in a home for n years.
a. Find the cost of heating a home using electricity for 5 years.
The cost of heating a home using electricity for 5 years is $Enter your answer in accordance to the item a) of the question statement.
b. Find the cost of heating a home using gas for 5 years.
The cost of heating a home using gas for 5 years is $Enter your answer in accordance to the item b) of the question statement.
c. Find the initial (or installation) cost for each system.
The installation cost of the electric system is $Enter your answer; The installation cost of the electric system is $.
The installation cost of the gas system is $Enter your answer; The installation cost of the gas system is $.
d. Determine how many years it will take before $60,000 has been spent in heating/cooling a home that uses:
i. Electricity
It will take Enter your answer in accordance to the item i) of the question statement years before $60,000 has been spent on heating/cooling.
ii. Gas
It will take Enter your answer in accordance to the item ii) of the question statement years before $60,000 has been spent on heating/cooling.
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