11. Which statement suggests causation?

A school has 200 students and spends $40 on supplies for each student. The principal expects the number of students to increase

Xelga [282]

Answer:

$\mathbf{S(t)=200(\frac{105}{100})^{x}}$

$\mathbf{A(t)=40(\frac{98}{100})^{x}}$

$\mathbf{E(t)=S(t) \cdot A(t)=200(\frac{105}{100})^{x} \cdot 40(\frac{98}{100})^{x}=8000(\frac{10290}{10000})^{x}}$

Step-by-step explanation:

<h3>The predicted number of students over time, S(t) </h3>

Rate of increment is 5% per year.

A function 'S(t)' which gives the number of students in school after 't' years.

S(0) means the initial year when the number of students is 200.

S(0) = 200

S(1) means the number of students in school after one year when the number increased by 5% than previous year which is 200.

S(1) = 200 + 5% of 200 = $200+\frac{5}{100}\time200$ = $200(1+\frac{5}{100})$ = $200(\frac{105}{100})$

S(2) means the number of students in school after two year when the number increased by 5% than previous year which is S(1)

S(2) = S(1) + 5% of S(1) = $\textrm{S}(1)(\frac{105}{100})$ = $200(\frac{105}{100})(\frac{105}{100})$ = $200(\frac{105}{100})^{2}$

.

Similarly $\mathbf{S(x)=200(\frac{105}{100})^{x}}$

<h3>The predicted amount spent per student over time, A(t) </h3>

Rate of decrements is 2% per year.

A function 'A(t)' which gives the amount spend on each student in school after 't' years.

A(0) means the initial year when the number of students is 40.

A(0) = 40

A(1) means the amount spend on each student in school after one year when the amount decreased by 2% than previous year which is 40.

A(1) = 40 + 2% of 40 = $40-\frac{2}{100}\time40$ = $40(1-\frac{2}{100})$ = $40(\frac{98}{100})$

A(2) means the amount spend on each student in school after two year when the amount decreased by 2% than previous year which is A(1)

A(2) = A(1) + 2% of A(1) = $\textrm{A}(1)(\frac{98}{100})$ = $40(\frac{98}{100})(\frac{98}{100})$ = $40(\frac{98}{100})^{2}$

.

Similarly $\mathbf{A(x)=40(\frac{98}{100})^{x}}$

<h3>The predicted total expense for supplies each year over time, E(t)</h3>

Total expense = (number of students) × (amount spend on each student)

E(t) = S(t) × A(t)

$\mathbf{E(t)=S(t) \cdot A(t)=200(\frac{105}{100})^{x} \cdot 40(\frac{98}{100})^{x}=8000(\frac{10290}{10000})^{x}}$

$\mathbf{E(t)=8000(\frac{10290}{10000})^{x}}$

(NOTE : The value of x in all the above equation is between zero(0) to ten(10).)

6 0

3 years ago

Read 2 more answers

Hey guys i suck at math and honestly tried this one for like ten minutes but I’m stuck please help me ill friend you and give fi

Afina-wow [57]

Answer:

2.6

Step-by-step explanation:

if you need me to explain it let me know and I will.

8 0

3 years ago

Please help! 30 points! (it doens't say 30 points but it gives it to you after a second person answers)

Olegator [25]

950000 that is what you get when you multiply them all together hope this helps

5 0

3 years ago

I Will give you 98 points if you will answer this.

Alex777 [14]

Answer: -1

Explanation: The subscript (3) under 6 has no value so 6 subscript 3 is just 6. Use BEDMAS to solve for the equation (Brackets, Exponents, Division, Multiplication, Addition, Subtraction)

1. 6 x 2 - 24 / square root 16 + (8)
2. 6 x 2 - 24 / 4 + 8
3. 6 x 2 - 24 / 12
4. 12 - 24 / 12
5. -12 / 12
6. -1

Therefore the answer is -1.

3 0

3 years ago

Read 2 more answers

8 t-shirts and 5 pairs of pants cost $220 how much does each t-shirt and pair of pants cost

Yakvenalex [24]

Hey, It looks like you're in Algebra and I'm here to give the best solution I can!

To write the equation, you are going to use the Standard Form. Standard Form is one way of solving this problem, and it is used to find the x,and y-intercepts of a problem.
Standard Form can be written using the equation <span>ax+by=c

</span>In your problem, you will write the equation like so, with 'x' representing T-Shirts, and 'y' representing pants:
<span>
8x+5y=220</span>
Now, in order to find the x-intercept you need to substitute a 0 for the 'y' variable and solve the new equation, 8x=220.
I'm sure you know you need to divide both sides by 8 which will give you the answer x=27.5.

Now, in order to find 'y' you would substitute a 0 for the 'x' variable which will give you an equation that should look like 5y=220.
Then, divided both sides by 5 to get your y-intercept.
y=44

Finally,you know that each T-Shirt (x) is $27.50, and each pair of pants(y)costs $44

-I hope this helped you, Sincerely, Auhrevo!

6 0

4 years ago