Answer: It will arrive at 5:55 P.M
Step-by-step explanation:
Use subtitution method to solve the problem.
First, change y to the value of x in order to find the exact value of x.
x + y = 4
y = 4 - x
Second, subtitute y with 4 - x from the first equation
y = -x² + 2x + 4
4 - x = -x² + 2x + 4
move all terms to the left side
x² - 2x - x + 4 - 4 = 0
x² - 3x = 0
x(x - 3) = 0
x = 0 or x = 3
Third, now we have 2 values of x. Find the value of y for each of x
For x = 0
y = 4 - x
y = 4 - 0
y = 4
For x = 3
y = 4 - x
y = 4 - 3
y = 1
The solution is (0,4) and (3,1). The answer is option b
Answer:
1, 2, 3
Step-by-step explanation:
solve the inequality by dividing both sides by 2, hence
n ≤ 3
3 = 3 and 1, 2 < 3
hence 1, 2 and 3 all make the inequality true
You know that ...
... total cost = (marked-up price) + 6.25% × (marked-up price)
... $90.10 = (marked-up price) × 1.0625
Solving for (marked-up price) gives
... marked-up price = $90.10/1.0625 = $84.80
<u>Markup</u>
You also know that
... marked-up price = cost + markup
... $84.80 = $50.88 + markup
... $33.92 = markup . . . . . . . . . . . subtract $50.88
The percentage of markup can be figured a couple of different ways. It is easy to add a percentage to the cost price of an article, because the cost is generally right in front of the storekeeper when the article is received and prices are being marked. However, many accountants are interested in the percentage of the selling price that is available for overhead and profit, so they are interested in the markup as a percentage of selling price. The question here is non-specific as to the base to be used for figuring the percentage of markup.
The markup as a percentage of cost is
... $33.92/$50.88 × 100% = 66.67%
The markup as a percentage of selling price is
... $33.92/$84.80 × 100% = 40%
