Answer:
<em>Regular price for 1 ticket = $30</em>
<em></em>
Step-by-step explanation:
Given that a total of 4 people went to the carnival.
Total bill for the tickets = $100
Discount coupon used = $20
To find:
Cost of Regular price ticket = ?
Solution:
First of all, we need to find the regular price of tickets for 4 persons as if there was no coupon used.
If no coupon used, total bill of tickets = Total bill with coupon + Amount of coupon
Regular price for 4 tickets = 100 + 20 = $120
So, regular price for 1 ticket = Regular price of 4 tickets divided by 4
<em>So, the answer is:</em>
<em>Regular price for 1 ticket = $30</em>
<em></em>
It’s in quadrant 1.
It goes like this:
2 1
3 4
Answer:
Step-by-step explanation:
There is a relationship between lines that are perpendicular. Their slopes are negative reciprocals of each other. Example: if one line has a slope of 4/3 then a line with the slope of -3/4 is perpendicular to it (they intersect at right angles).
So to find the slope of a line perpendicular to y = -2/3x + 4 we must know the slope of it. The slope, when the line is in the slope-intercept form (aka y = mx + b), is the multiplier in front of the "x" so in this case it is -2/3. So a line perpendicular to it has a slope of 3/2.
Now that we know the slope (m = 3/2) we can find the equation of the line that has a slope of 3/2 but goes through the point (-2, -2) in a couple of ways.
1) Use the slope-intercept form of a line and plug in the values of x = -2 and y = -2 (from the point (-2, -2) like this:
y = mx + b
y = 3/2x + b
-2 = 3/2(-2) + b
-2 = -3 + b
1 = b
So y = 3/2x + 1
2) We can use the point-slope equation y - y1 = m(x - x1) which works great if you know the value of m (we do, m = 3/2) and some point (x1, y1) on the line (and we do, (-2, -2); so x1 = -2 and y1 = -2):
y - y1 = m(x - x1)
y - y1 = 3/2(x - x1)
y - (-2) = 3/2(x - (-2))
y + 2 = 3/2(x + 2)
Although it looks different than the other equation, it is really the same. Just distribute and combine like-terms and you'll see it's the same. So either is an acceptable answer for this quest
2x + 4y - 2x - 3y = 22 - 50
y = -28
substitute into the 1st equation to find x
Answer:
3.5 years
Step-by-step explanation:
Each year, Louis earned
$1500×0.035 = $52.50
in interest.
The amount of interest that had been credited to his account at the time of withdrawal was ...
$1683.75 -1500.00 = $183.75
Then the length of time the money had been in the account was ...
$183.75/($52.50/yr) = 3.5 yr
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<em>Comment on the problem</em>
We have assumed the account earned simple interest. Given the neatness of the answer, we believe that to be a correct assumption.