First we write the variables already defined:
m = the number of magazine subscriptions sold
n = the number of newspaper subscriptions sold
We now write the system of inequations based on the following facts:
"he earns $ 23 for each magazine subscription and $ 54 for each newspaper subscription that he sells. his goal is to make more than $ 642 per week"
23m + 54n> 642
"I have expectations to sell at least 10 subscriptions per week"
m + n> = 10
Answer:
A system of inequalities that models the given situation is:
23m + 54n> 642
m + n> = 10
24
Multiply 6 and 4 to get 24
They will be able to prepare 24 tables
Answer:
$208.33
Step-by-step explanation:
Julie has to make the down payment which is 25% of $60000 after saving for 6 years.
Therefore, Julie has to save a total of 
dollars.
And Julie has to save it for the duration of 6 years i.e. (6 × 12) = 72 months.
Hence, Julie has to save 
dollars every month to make the down payment after 6 years. (Answer)
Step-by-step explanation:
Part A:
So the height is going to be x when you fold the sides up. So that's one part of the volume but for the width it was going to be 4 but since two corners were cut out with the length x the new width is going to be (4-2x). The same thing applies for the length which should be 8 inches but since two corners were removed with the length x it's now (8-2x)
v = x(4-2x)(8-2x)
Part B:
The volume can be graphed although there must be a domain restriction since the height, width, or length cannot be negative. So let's look at each part of the equation
so for the x in front it must be greater than 0 to make sense
for the (4-2x), the x must be less than 2 or else the width is negative.
for the (8-2x) the x must be less than 4 or else the length is negative
so the domain is going to be restricted to 0 < x < 2 so all the dimensions are greater than 0
By using a graphing calculator you can see the maximum of the given equation with the domain restrictions is 0.845 which gives a volume of 12.317
Answer:
The y-intercept of this line is 1.
Step-by-step explanation:
We are looking for the y-value when x=0. And that value is 1
