The constant of proportionality represents the unit cost .You use the equation y = 8.5 x to calculate the total cost y in dollars for x in what ever you are buying
Answer:
- (x, y) = (3, 5)
- (x, y) = (1, 2)
Step-by-step explanation:
A nice graphing calculator app makes these trivially simple. (See the first two attachments.) It is available for phones, tablets, and as a web page.
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The usual methods of solving a system of equations involve <em>elimination</em> or <em>substitution</em>.
There is another method that is relatively easy to use. It is a variation of "Cramer's Rule" and is fully equivalent to <em>elimination</em>. It makes use of a formula applied to the equation coefficients. The pattern of coefficients in the formula, and the formula itself are shown in the third attachment. I like this when the coefficient numbers are "too messy" for elimination or substitution to be used easily. It makes use of the equations in standard form.
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1. In standard form, your equations are ...
Then the solution is ...

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2. In standard form, your equations are ...
Then the solution is ...

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<em>Note on Cramer's Rule</em>
The equation you will see for Cramer's Rule applied to a system of 2 equations in 2 unknowns will have the terms in numerator and denominator swapped: ec-bf, for example, instead of bf-ec. This effectively multiplies both numerator and denominator by -1, so has no effect on the result.
The reason for writing the formula in the fashion shown here is that it makes the pattern of multiplications and subtractions easier to remember. Often, you can do the math in your head. This is the method taught by "Vedic maths" and/or "Singapore math." Those teaching methods tend to place more emphasis on mental arithmetic than we do in the US.
This is an improper. Perhaps you can fix it, so that I can assist you with it? I apologise.
9514 1404 393
Answer:
- $20,330 down
- $193,670 loan
- $560.35 monthly
- $255,677 total price
Step-by-step explanation:
a) The down payment is 9.5% of the price, so is ...
down = 0.095×$214,000 = $20,330
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b) The amount of the loan is the remaining value after the down payment is made:
$214,000 -20,330 = $193,670
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c) The monthly payment is given by the amortization formula:
A = P(r/12)/(1 -(1 +r/12)^(-12t))
payment on Principal P at interest rate r for t years
A = $193,670(0.0115/12)/(1 -(1 +0.0115/12)^(-12·35)) ≈ $560.35
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d) The total cost of the house is ...
down + (monthly payment)×(number of months)
= $20,330 + $560.35×420
= $255,677
Answer:
slope perpendicular= -1
Step-by-step explanation:
3x-3y=-63
-3y=-3x-63 divide both sides by -3
y=1x+21
Perpendicular lines have slopes that are the opposite of the reciprocal of each other