The table gives the costs for organizing Field Day at a Middle School. Thirty-two students will attend the event.



Expense:

Total Cost ($):

Supplies

$272.64

Announcer

$168.84

Refreshments

$113.40



What is the cost per student for this event?




What is the cost per student for supplies only?

Answer: See explanation

Step-by-step explanation:

Second term = a + d = 28 ....... i

Fifth term = a + 4d = 52 ......... ii

Subtract equation I from ii

3d = 24

d = 24/3 = 8

d = common difference = 8

Since a + d = 28

a + 8 = 28

a = 28 - 8 = 20

First term = a = 20

u10 = a + (n-1)d

= a + (10-1)8

= 20 + (9 × 8)

= 20 + 72

= 92

Answer:

1) The monthly payment is approximately $292.96

2) The total interest is approximately $2,061.84

Step-by-step explanation:

1) The financing method Nathan Reynolds applied to buy the car is given as follows;

The purchase price of the car = $15,000

The down payment made for the car = $3,000

The

The interest on the loan he took for the balance of the purchase price, R = 8%

The number of years for which he took the loan, n = 4 years = 48 months

We have;

The balance of the purchase price = (The purchase price of the car) - (The down payment made for the car)

∴ The balance of the purchase price = $15,000 - $3,000 = $12,000

The balance of the purchase price = $12,000 = The loan Nathan secured

The monthly payment on a loan is given by the following formula

[tex]A = P \times \dfrac{r \cdot (1 + r)^n}{(1 + r)^n - 1}[/tex]

Where;

A = The payment amount made  monthly

P = The principal or loan amount = $12,000

r = The interest rate divided by 12 = R/12 = 8/12 = 2/3

n = The number of months the monthly payment will be made = 48 months

By plugging in the variable values, we get;

[tex]A = 12,000 \times \dfrac{\dfrac{2}{300} \times \left (1 + \dfrac{2}{300} \right ) ^{48}}{ \left (1 + \dfrac{2}{300} \right )^{48} - 1} = 292.955068099 \approx 292.96[/tex]

Therefore, the payment amount made  monthly, A ≈ $292.96

2) The total payment made in the 48 months = A × 48 = 292.955068099 × 48 ≈ 14,061.84

The total payment made in the 48 months ≈ $14,061.84

The total interest = (The total payment made in the 48 months) - (The loan amount)

∴ The total interest = $14,061.84 - $12,000 ≈ $2,061.84

Answer:

Step-by-step explanation:

We are to find the greatest common factor of x^7, x^3 and x^5

x^7 = x^3 * x^4

x^3 = x^3 * 1

x^5 = x^3 * x^2

From both factors, we cam see that x^3 is common to the three, hence the GCF is x^3

Answer:

Step-by-step explanation:

Answer:

21

Step-by-step explanation:

12 - (-9)

Open The bracket :

Recall: - * - = +

Hence,

12 + 9 = 21

Answer: -6x^2-xy+15y^2

Step-by-step explanation:

The value of B-A is -6x²-xy+15y² .

A statement where the algebraic expressions are equated with an equal sign with each other is called an Equation.

It is given that

A = 5x²+3xy-7y²

B = -x²+2xy+8y²

To calculate is B - A

B- A = ²   (-x²+2xy+8y²) - (5x²+3xy-7y² )

B-A = -x²+2xy+8y² - 5x²- 3xy +7y²

B-A = -6x²-xy+15y²

Therefore the value of B-A is -6x²-xy+15y² .

To know more about Equation

https://brainly.com/question/10413253

#SPJ2

Answer:

ok

Step-by-step explanation:

Answer:

srry I needed the points hope u don\t mind

Step-by-step explanation:

Answer:

editor edit

37,650

Step-by-step explanation:

37650

Answer:

There is only one solution and it is the point of intersection

Step-by-step explanation:

Answer:

If  p  is the smallest of  n  consecutive integers of the same sign than we have  p ,  p+1 ,  p+2 ,  … ,  p+(n−1) ,

So the sum is

∑k=0n−1(p+k)=∑k=0n−1p+∑k=0n−1k=np+n2−n2  

Here  n=4  

So we have  4p+6  

And checking

p+(p+1)+(p+2)+(p+3)=4p+6  

Note if  p=−v  

Than you have the same thing as if  p=v−n+1  just negative for example  3  consecutive integers the smallest is  −5  so the sum is  −5+(−4)+(−3)=3×−5+32−32=−15+3=−12  

On the other hand:

−(3+4+5)=−(3×3+32−32)=−(9+3)=−12  

If  p=−v  the sum of next  v+1  integers is  −(∑k=0vk)=−(v2+v2)  

Than needs an other  v  integers to bring it up to  0  again. From there it is

∑k=0hk=h2+h2  

Where  h=n−(2v+1) .

So recap if  p  is the smallest of  n  consecutive integers their sum is

p+(p+1)+(p+2)+…+(p+(n−1))=⎧⎩⎨⎪⎪⎪⎪⎪⎪⎪⎪⎪⎪⎪⎪⎪⎪⎪⎪⎪⎪⎪⎪np+n2+n2−(n|p|+n2+n2)((n−|p|)2+(n−|p|)2)−(|p|p+|p|2+|p|2)((n−|p|)2+(n−|p|)2)n≥0p<0∧n<|p|+1p<0∧|p|<n<2|p|+1p<0∧n>2|p|+1

Step-by-step explanation:

Answer:

1. 5

2. 5/3

3. 4.5

4. 21

5. 10

6. (-12

7. (-1.5

Answer:

0.2330

Step-by-step explanation:

Answer:

she should use 1 2/4 cups of bleached flour

Answer:

True

Step-by-step explanation:

To answer this question, I will use the following illustrations.

Assume a point (x,y) is reflected across the x-axis.

Using reflection rule, the new point will be: (x,-y)

On a coordinate plane, the x-axis is represented as: (x,0)

So, we will calculate the distance between (x,y) and (x,0) and also calculate the distance between (x,-y) and (x,0) using the following distance formula.

[tex]D= \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}[/tex]

Distance between (x,y) and (x,0)

[tex]D= \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}[/tex]

[tex]D= \sqrt{(x - x)^2 + (0 - y)^2}[/tex]

[tex]D= \sqrt{(0)^2 + (- y)^2}[/tex]

[tex]D= \sqrt{0 + y^2}[/tex]

[tex]D= \sqrt{y^2}[/tex]

[tex]D = y[/tex]

Distance between (x,-y) and (x,0)

[tex]D= \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}[/tex]

[tex]D= \sqrt{(x - x)^2 + (0 - (-y))^2}[/tex]

[tex]D= \sqrt{(0)^2 + (0+y)^2}[/tex]

[tex]D= \sqrt{0 + y^2}[/tex]

[tex]D= \sqrt{y^2}[/tex]

[tex]D = y[/tex]

See that the calculated distance are equal.

Hence, the given statement is true

Answer:

6:5 in simplest form

Step-by-step explanation:

Answer:

6:5

Step-by-step explanation:

The greatest common factor, and only shared factor is 3. Use three and divide on both sides to get 6 and 5

Answer:

Shift f up by 1 unit

Step-by-step explanation:

The email address lol

Answer:

Slope: 2/3

Step-by-step explanation:

You have to first write the equation into slope-intercept form...

y = mx + b

So...

-2x + 3y = -6

becomes...

3y = 2x - 6

y = 2/3x - 2

Which means...

2/3 is the slope

Hope this help :)

Let me know if there are any mistakes!!

Answer:

11:43 am

Step-by-step explanation:

Given data

Time of arrival= 11:19 am

We are told that she spent 24 minutes in the store

Based on this, we can estimate the time she left the store

The time she left

=11:19+ 24

=11:43 am

Hence she left 11:43 am

Answer:

B.)[tex]\sqrt{245}[/tex]

Step-by-step explanation:

[tex]\sqrt{245}[/tex]=15.65

7[tex]\sqrt{5}[/tex]=15.65

Hope this helps! :)

Answer:

its is B

Step-by-step explanation:

I just put 7/5 and put the answers below in my calculator and got whatever went with the answer when I put 7/5 (I dont have the square root sign)

Answer:

mark me as brainliest plz

Answer:

21 is Correct answer hope you will like it

Answer:

Domain: (-∞,∞)

Range: (-∞, ∞)

Hope this helps.

Answer:

Step-by-step explanation:

Answer:

its 710%

Step-by-step explanation:

710% hope it helps!

Step-by-step explanation:

Welp if a typical person takes 24000 breaths each day that's means

24000÷24=1000

so that's means 1000 per hour

if a hour take 60 Min that's mean

1000÷60=16.6666667 don't tell me I'm not sure about this answer and not really good at this :p

Answer:

3/10

Step-by-step explanation: