Note that both the numerator and denominator approach 0 as
, so we can try using L'Hopital's rule.
The denominator is nonzero at
, so the limit is equivalent to
Let’s call the numbers x and y. Let’s also say that x is the smaller of the two. Since their difference (the answer you get when you subtract is 44 and a half) we know that y-x=44.5
Next we are told that if the smaller increases 7 times (that means 7x) their difference would be 10 3/14. Let’s write that as a fraction. It is 14x10+3 over 14. That is 143/14.
So this means y-7x=143/14.
We have two equations and two unknowns (a system of equations). We write one over the other and subtract them to get:
y-x=44.5
y-7x=143/14
Subtracting yields:
(y-y)+(-x - - 7x) = 44.5 - 143/14
6x = (89/2) - (143/14)
6x= 623/14 - 143/14
6x=480/14
X= (480/14)(1/6)
X=80/14
x= 40/7 = 5 5/7
Since y-x=89/2
We get y - 40/7 = 89/2
Y = 40/7 + 89/2
Y = 80/14 + 623/14
Y = 703/14 = 50 3/14
The price the school district pays for each typewriter is $106.56.
<h3>What is the price for each typewriter?</h3>
A quantity discount is the discount given for bulk purchases. It reduces the purchase price of a good or service.
Total purchase price of the typewriters before the discount = (50 x 129.95) = 6,497.50
Total purchase price of the typewriters after the discount = (100 - 18) x 6,497.50
= $5,327.95
Purchase price of one typewriter = $5,327.95 / 50 = $106.56
To learn more about how to calculate discounts, please check: brainly.com/question/26061308
I don’t really understand what you mean could you be more specific please.
Answer:
7.625
Step-by-step explanation:
