Answer:
22°
Step-by-step explanation:
this is a right angle. right angles = 90°. you can now subtract 90-68 to give you 22.
Let x = ribeye steak cost, y = grilled salmon cost. With this we set up two equations:
17x + 16y = 571.16
21x + 8y = 583.22
We must now pick which dinner we could like to find the cost of first. I choose the ribeyes. To do so, I'm going to divide the first equation by - 2. I will explain why:
- 8.5x - 8y = - 285.58
21x + 8y = 571.16
Now we combine like terms. Notice that the y-variables cancel each other out. This why I divided by - 2. It causes this cancellation leaving us with only one variable to solve. This gives us:
12.5x = 297.64
Divide both sides by 12.5 to isolate variable x.
x = 23.8112 or x ≈ 23.81. I round two decimal points since we're dealing with money.
Now, we plug this cost into either of the two equations and solve for variable y. I'll use the first one.
17(23.81) + 16y = 571.16
404.77 + 16y = 571.16
Subtract 404.77 from both sides to isolate the variable and its coefficient.
16y = 166.37
Divide by 16 on both sides to get rid of the coefficient
y ≈ 10.3993 or y ≈ 10.40 since we're dealing with money.
Cost of ribeye steak -- $23.81
Cost of grilled salmon -- $10.40
To find median, you must first order the numbers from least to greatest.
$3.85, $4.79, $4.85, $5.38, $5.96
Since there is an odd amount of numbers, the median is the middle number.
In this case, the number in the middle is $4.85.
This means that the median is $4.85.
Hope this helps!
Answer:
1st problem: b) 
2nd problem: c) 
Step-by-step explanation:
1st problem:
The formula/equation you want to use is:
where
t=number of years
A=amount he will owe in t years
P=principal (initial amount)
r=rate
n=number of times the interest is compounded per year t.
We are given:
P=2500
r=12%=.12
n=12 (since there are 12 months in a year and the interest is being compounded per month)
Time to clean up the inside of the ( ).
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2nd Problem:
Compounded continuously problems use base as e.
P is still the principal
r is still the rate
t is still the number of years
A is still the amount.
You are given:
P=2500
r=12%=.12
Let's plug that information in:
.
Answer: 7 gallons; 14 gallons
Step-by-step explanation:
Let the amount of water in the first container be x.
Since one container holds 2 times as much as the other, the second container will be: = x × 2 = 2x
The total amount of water is 21 gallons. This means:
x + 2x = 21
3x = 21
x = 7 gallons
First container = 7 gallons
Second container= 2x = 2×7 = 14 gallons
