Answer:
$127975, $182875
Step-by-step explanation:
Let the salary in state A be x. Then, the salary in state B is x+54900.

Answer:
44.057 to nearest hundredth
44.06
7 < x. Here, you can solve the inequality by multiplying 2 by each quantity in the parentheses to get -18 < 24 - 6x. You can subtract -24 from both sides to get -42 < -6x. Then, you can divide each side by -6 and flip the inequality, and this leaves you with x > 7. You would check this answer by choosing a number greater than but close to 7, using the original equation.
Answer:
Arley should charge $2.25 for each unbroken cookie.
Step-by-step explanation:
1. This problem has a lot of information to take in. To make things easier, it's vital to condense the problem into the most vital information.
Normal Price (x) = $1.50
Markup = %50 (1.5)
Total Price = 1.5x
Note that the amount of cookies produced and the amount charged for the broken cookie was not written in this condensed format.
The question was only: What <u>price</u> should Arley charge for each <u>unbroken cookie?</u>
Neither the cookies produced or the amount charged were part of the question. In this case, the other information is simply there as a filler.
2. With the information given, a simple formula should be created to find the total price.
The formula for this problem is: 1.5x
As stated above, 1.5 represents the 50% markup while the variable (x) represents the normal price.
When 1.5*1.5 is solved, it comes out to $2.25 dollars.
3. The answer is $2.25 dollars for each unbroken cookie.
Answer:
The common difference is -4/3.
Step-by-step explanation:
Recall that the direct formula for an arithmetic sequence is given by:

Where <em>n</em> is the <em>n</em>th term, <em>a</em> is the initial term, and <em>d</em> is the common difference.
We are given that the first term <em>a</em> is 31.
We also know that the 28th term is -5. Hence, <em>x</em>₂₈ = -5. Substitute:

Solve for <em>d</em>. Simplify:

Thus:

Divide both sides by 27. Hence, the common difference is:
