Lisa wpuld have to work 11 hours to make $242
Answer:

Option C.
Step-by-step explanation:
<u>Asymptotes Of A Rational Function</u>
We can easily recognize if x=a is a vertical asymptote of a given function f(x) because its graph tends to quickly increase or decrease getting closer to the vertical line x=a but never actually touching it.
We can see in the graph provided, there are two vertical lines, one at x=0 and the other at x=3 (assuming the x-scale is 2). It means the denominator tends to zero at both of those values, i.e. there must be factors like (x-0)(x-3)=x(x-3). The only option with these characteristics is the last one

Answer: (-9, -3)
Step-by-step explanation:
A = (-3, -1)
A' = (-3, -1)*3 = (-9, -3)
Answer:
475.
Step-by-step explanation:
We have been given that for a normal distribution with μ=500 and σ=100. We are asked to find the minimum score that is necessary to be in the top 60% of the distribution.
We will use z-score formula and normal distribution table to solve our given problem.

Top 60% means greater than 40%.
Let us find z-score corresponding to normal score to 40% or 0.40.
Using normal distribution table, we got a z-score of
.
Upon substituting our given values in z-score formula, we will get:





Therefore, the minimum score necessary to be in the top 60% of the distribution is 475.
Given :
The Mad Hat Company must ship two different-sized boxes: The small ones cost them 45 cents each and weigh 6 ounces, and the large ones weigh 25 ounces and cost $1.20 each.
The total shipment this morning weighed 20 pounds 7 ounces and cost $18.45.
To Find :
How many packages of each size were shipped.
Solution :
We know, 1 pound = 16 ounces.
So, 20 pound = 20×16 = 320 ounces.
Let, number of large and small box are l and s.
So,
25l + 6s = 327 ...1)
0.45s + 1.20l = 18.45 ...2)
Solving both the equations, we get :
x = 9 and y = 17
Therefore, package smaller and big size are 17 and 9 respectively .
Hence, this is the required solution.