The tuition costs, C, for a local community college are modeled by C(h) = 250 + 200h, where h represents the number of credit hours taken. The local state university has tuition costs, S, modeled by the function S(h) = 300 + 180h. How many credit hours will a student have to take for the two tuition costs to be equal? Round the answer to the nearest tenth of an hour. 250 + 200h = 300 + 180h 250 + 200h = 300 + 180h − 180h − 180h 250 + 20h = 300 h = credit hours
Answers
C (h) = S (h)
250 + 200h = 300 + 180h
200h – 180h = 300 – 250
20h = 50
H = 2.5 credit hours
The required equation is: and the number of credit hours is 7.5
The functions are given as:
When the two tuition costs are equal, we have:
This gives
Collect like terms
Divide both sides by 20
Hence, the required equation is: and the number of credit hours is 7.5
Read more about functions at:
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Answers
4x + 2y = 20
multiply one part of the equation so that we can be able to use the process of elimination.
(-3x - y = -17)2
4x + 2y = 20
Now we have:
-6x -2y = - 34
4x+2y= 20
------------------------
-2x = -14
Divide -2 on both sides.
-2x = -14
/-2 /-2
x = -7.
=============================================
To solve for y, we just have to substitute the value of x to any of the equation given above, that we feel comfortable with. And I'm going to choose this equation: 4x + 2y = 20
4x + 2y = 20
4(-7) + 2y = 20
-28 + 2y = 20
Add 28 on both sides
-28 + 2y = 20
+28 +28
---------------------
2y = 48
/2 /2
y = 24.
The last thing you would do is to check if the answers is correct.
All you have to do is plug in the values of x and y into both equations and see if they equal to one another.
You may have to do this by yourself :P
Anyways, if you have any questions about this topic, feel free to PM me or any other users interested. Thank you for being part of Brainly! Have a nice day!
Answers
The approximate value of the land in 2021 will be $588,394.356.
What is Multiplication?
Multiplication of two numbers is defined as the addition of one of the number repeatedly until the times of the other number.
a × b means that a is added to itself b times or b is added to itself a times.
Value of the land in 1960 = $30,000
Each year, the value is increasing approximately 5 % = 5/100 = 0.05.
Value of the land in 1961 = 30,000 + (30,000 × 0.05)
= 30,000 (1 + 0.05)
= 30,000 × 1.05
Value of the land in 1962 = (30,000 × 1.05) + (30,000 × 1.05 × 0.05)
= (30,000 × 1.05) (1 + 0.05)
= (30,000 × 1.05) (1.05)
= 30,000 × (1.05)²
So each year previous value is multiplied with 1.05.
Value of the land after n years = 30,000 × (1.05)ⁿ
Value of the land after 61 years = 30,000 × (1.05)⁶¹
= 588,394.356
Hence the approximate value of the land in 2021 is $588,394.356.
Learn more about Multiplication here :
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Answer:
$91,500
Step-by-step explanation:
The land appreciates 5% of 30k which is $1,500 and multiply that by 61
Answers
Answer:
Step-by-step explanation:
4.75/1.9 gives you the pounds that he bought, or 2.5 pounds
Answers
many pounds of denim would be left from 250 pairs of jeans
Answers
Answer:
50 pounds
Step-by-step explanation:
Answers
X=3
This means that eqch can contains 3 balls