Answer:
D
Step-by-step explanation:
given the 2 equations
x + 2y = 27 → (1)
2x + 3y = 46 → (2)
Rearrange (1) expressing x in terms of y by subtracting 2y from both sides
x = 27 - 2y ← substitute into (2)
2(27 - 2y) + 3y = 46
54 - 4y + 3y = 46
54 - y = 46 ( subtract 54 from both sides )
- y = - 8 ( multiply both sides by - 1 )
y = 8 → D
Answer:
The money she will end up earning in interest on the cd = $11,352.90
Step-by-step explanation:
The formula for getting the accumulated amount(compounded) is;

Where
A = Accumulated amount
P = principle (deposit)
r = interest rate and
n = no of times interest applied per time period.
The interest is compounded quarterly so in one year it will be 4 times
In 5 years
n = (5×4)-3 = 17 (as she will withdraw 3 month before the completion of five years)
A =
^17
= 7100( 1 + 0.028)^17
= 7100(1.028)^17
= 7100 * 1.599
= 11,352.90
Therefore the money she will end up earning in interest on the cd = $11,352.90
Answer:
I am pretty sure there are 10 people in line.
Since Ashley is the seventh person in line, we can deduce that <u><em>there are 6 people in front of her</em></u>.
Since the amount of people in front of her is "twice as many people as there are behind her," we can divide the value of the people in front of her in half to get the value of people behind her.
6/2 is 3, so <em>there are </em><u><em>3 people behind Ashley</em></u><em>. </em>
Now, lets add the amount of people in front of Ashley to the amount of people behind her. 3 + 6 = 9, and since Ashley is also in the line, we should add 1 to the sum.
9 + 1 = 10, so <u><em>there are 10 people in the line</em></u>.
Answer:
<h2>z = 15</h2>
Step-by-step explanation:

<u>Cross multiply </u>
That's

<u>Send 15 to the right side of the equation</u>

Divide both sides by 15

We have the final answer as
<h3>z = 15</h3>
Hope this helps you
Answer:
width = 9.36 ft
length = 21.36 ft
Step-by-step explanation:
Let the width be x ft long. Then it follows that the length will be (x+12) ft long.
To calculate the area would then be
x(x+12) = 200
x
x = 9.36 ft or x = -21.36 ft
We take the positive answer. So the dimensions are
width = 9.36 ft
length = 9.36 + 12 = 21.36 ft