A phone sells for $250. It is now on sale for 1··5off the original price. April has a coupon for an extra 10% off the sale price
1 answer:
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The equation of the line from give points is y = 2/3x - 5/3.
According to the statement
We have given that the two points which are (-2,-3) and (4,1)
And we have to find the equation of a line that passes through the given points.
So,For this purpose,
First, we need to determine the slope of the line. The slope can be found by using the formula:
Where
m is the slope and
Substituting the values from the points in the problem gives:
m = 1 + 3 /4 + 2
m = 4/6
m = 2/3.
And then
Now, we can use the point-slope formula to find an equation for the line. The point-slope formula states:
Put the values in it then
y - (-3) = 2/3 (x-(-2))
y +3 = 2/3 (x +2)
3y + 9 = 2x + 4
3y - 2x = 4 -9
3y -2x = -5
3y = 2x - 5
y = 2/3x - 5/3.
So, The equation of the line from give points is y = 2/3x - 5/3.
Learn more about equation of the line here
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Answer:
a. Mason's rent will increase by $302.40 next year.
b. Mason's new rent per month next year will be $445.20.
Step-by-step explanation:
The first question is asking us how much Mason's rent will increase next year.
If the contract on Mason's apartment states that his rent will increase by 6% next year, and he is currently paying $420 per month, to calculate the increase of the rent next year, we will first have to multiply $420 by 12 months to calculate how much Mason is paying in rent a year:
Therefore, Mason is currently paying $5040 a year.
With this information, we will now need to calculate 6% of $5040. To calculate 6% of $5040, convert 6% to decimal form, and multiply it by $5040.
<em>6% means 6 per cent/hundred, so it can be represented as:</em>
<em>The fraction </em><em> can be represented as (we're two places behind the decimal, in the hundredths place)</em>:
Now, multiply the decimal form of 6% by $5040:
Therefore, Mason's rent will increase by $302.40 next year.
-
To calculate Mason's new rent per month next year, we can divide $302.40 into 12 months to see the rent increase per month, and then add that quotient to Mason's current rent per month, $420:
÷
Now, that we know the rent per month will increase by $25.20 next year, we can add $25.20 to Mason's current rent per month:
Therefore, Mason's new rent per month next year will be $445.20.