4. PLEASE HELP!!!!!!
You have a cup with 17 coins inside. The total inside the cup is $5.50. Determine how many half dollars and quarters are inside the cup. Use a system of equations. Be sure to define the variables and show all work.

Considering the definition of exponential function, the value of the car is 11,287.25 dollars.

An exponential function is one in which the independent variable x appears in the exponent and has a constant a as its base. Its expression is:

f(x)= aˣ

Being a a positive real, a > 0, and different from 1, a ≠ 1.

When 0 < a < 1, then the exponential function is a decreasing function and when a > 1, it is an increasing function.

In this case, the value of that car depreciates based on the function f(t)=12,000×[tex]0.96^{t}[/tex] where t is measured in years after purchase.

After 3/2 years, the value of the car is calculated as:

f(3/2)=12,000×[tex]0.96^{3/2}[/tex]

Solving:

f(3/2)= 11,287.25

Finally, the value of the car is 11,287.25 dollars.

Learn more with this similar problems:

https://brainly.com/question/26325857

https://brainly.com/question/25537936

https://brainly.com/question/14773454

#SPJ1

Answer:

A (10,3)

Step-by-step explanation:

See the attached files!!!!

From the equation y = 4x, each strawberry contains 4 calories.

An equation is an expression that shows the relationship between two or more numbers and variables.

Let y represent the number of calories in x strawberries. Hence:

y - 0 = [(27 - 0)/(6.8 - 0)](x - 0)

y = 4x

From the equation y = 4x, each strawberry contains 4 calories.

Find out more on equation at: https://brainly.com/question/2972832

#SPJ1

Answer:

a

Step-by-step explanation:

An expression is defined as a set of numbers, variables, and mathematical operations. The correct option for 1,2,3, and 4 are C,B,A, and C, respectively.

In mathematics, an expression is defined as a set of numbers, variables, and mathematical operations formed according to rules dependent on the context.

A.) The Set which represents the integers is in the third option.

{.....,-3,-2,-1,0,1,2,3......}

B.) The property that is shown is option B, the cumulative property of multiplication.

C. The expression can be rewritten as,

4(x+5)-3(x+2) = 14

4x + 20 - 3x - 6 = 14

Thus, the correct option is the first option.

D.) The simplification of the expression (x⁵y²z)/(x³y⁶) can be done as,

(x⁵y²z)/(x³y⁶) = (x²z)/(y⁴)

Thus, the correct option is C.

Learn more about Expression:

https://brainly.com/question/13947055

#SPJ1

Answer: A: sorry if I'm wrong but that's what I was told

Step-by-step explanation:

The statement all three functions have a y-intercept and the statement f(x) has the greatest maximum can be used to accurately compare the functions.

It is defined as a special type of relationship, and they have a predefined domain and range according to the function every value in the domain is related to exactly one value in the range.

From the graph, we can see all the functions have y-intercept:

At x = 0

f(0) = 1

g(0) = -1/2

h(0) = -5

The f(x) has the greatest maximum, which is 10

Thus, the statement all three functions have a y-intercept and the statement f(x) has the greatest maximum can be used to accurately compare the functions.

Learn more about the function here:

brainly.com/question/5245372

#SPJ1

Answer:

29

Step-by-step explanation:

The problem is 5x + 6 = 150

I subtract 6 from each sides except the one with the variable.

6 - 6 = 0 and 150 - 6 = 144.

Then I bring 5x down.

Then I divided 5x with 5 and 144 with 5.

I got 28.8 for x, which means the friends had 28.8 action figures each.

And I don't think it would be possible for them to have 28.8 action figures, so you round to a whole number which would give you the answer 29.

I think I that makes sense.

Answer:

102 deg

Step-by-step explanation:

The sum of the interior angles of a  n-gon

   are equal to   ( n-2)*180

     for a pentagon   ( 5-2)(180) = 540

88+118+132+100 + x = 540          x= 102 deg

Answer:

C. 102 is correct

Step-by-step explanation:

just took test

Answer:

Only option A. cannot be simplified; is in its simplest form.

Step-by-step explanation:

In order for A. to have a simplified form, it must have a specified degree or leading term, which it does not have, making it impossible to simplify.

Answer:

No

Step-by-step explanation:

I don't think so

Answer:

180 inches

Step-by-step explanation:

The volume of a rectangular prism is length x width x height. So you would do (12)x(5)x(3) which would get you 180 inches.

Answer:

[tex]y=(x-2)^2-1[/tex]

Step-by-step explanation:

Complete the square

[tex]y=x^2-4x+3\\\\y+1=x^2-4x+3+1\\\\y+1=x^2-4x+4\\\\y+1=(x-2)^2\\\\y=(x-2)^2-1[/tex]

Answer: 1

Step-by-step explanation:

First, we will translate this into an algebraic expression.

-> Quotient means we will be using divison

-> Product means we will be using multiplciation

     the quotient of 12 and the product of 3 and 4

     [tex]\displaystyle \frac{12}{\text{the product of 3 and 4}}[/tex]

     [tex]\displaystyle \frac{12}{3*4}[/tex]

Now, I will simplify.

     Given:

      [tex]\displaystyle \frac{12}{3*4}[/tex]

     Multiply:

     [tex]\displaystyle \frac{12}{12}[/tex]

     Divide:

     1

Read more about your problem here:

https://brainly.com/question/14709417

Answer:

0

Step-by-step explanation:

evaluate 10 + (8÷4) - 12

Answer:

0

Step-by-step explanation:

First of all we need to divide then add then only subtract

Answer: (36/4)+8

Step-by-step explanation: brainliest?

Answer:

36/4 +8 = 17

Step-by-step explanation:

thanks and brainliest

Answer:

Area of the circle = 227.0095 cm^2

Step-by-step explanation:

Given:

To Find:

Area of the circle

Soln:

We know that,

Area of the circle: πr²

where:

But we don't know the radius,as the diameter is given.We could use the formula of diameter & plug the value of it do find the radius.

[tex] \rm \: Diameter = 2(r)[/tex]

Where

Substitute the value of Diameter:

Diameter = 2r

17 = 2r

17/2 = r

8.5 = r

r = 8.5

Now we got the radius, so substitute radius onto the formulae:

[tex]\text{Area of circle} = \pi\cdot \text{Radius}^2\\\\\\~~~~~~~~~~~~~~~~~~=\pi~ \left( \dfrac{\text{Diameter}}2 \right)^2\\\\\\~~~~~~~~~~~~~~~~~~=3.142 \left(\dfrac{ 17}2 \right)^2\\\\\\~~~~~~~~~~~~~~~~~~=227.0095~ \text{cm}^2[/tex]

Answer:

1. 90

2. 120

3. 30

4. 60

Step-by-step explanation:

Hope it helps

Answer:2: 95/215, 3: 95/580, 4: 210/330 5: 365/580

Step-by-step explanation:probability=outcome in question/the total number in the given category

Answer:

(5, 1 ) and (3, 1 )

Step-by-step explanation:

2x - 3y = 7 → (1)

- 3x + 7y = - 8 → (2)

multiplying (1) by 3 and (2) by 2 and adding will eliminate x

6x - 9y = 21 → (3)

- 6x + 14y = - 16 → (4)

add (3) and (4) term by term to eliminate x

0 + 5y = 5

5y = 5 ( divide both sides by 5 )

y = 1

substitute y = 1 into either of the 2 equations and solve for x

substituting into (1)

2x - 3(1) = 7

2x - 3 = 7 ( add 3 to both sides )

2x = 10 ( divide both sides by 2 )

x = 5

solution is (5, 1 )

------------------------------------------------------------

4x - 3y = 9 → (1)

2x + 3y = 9 → (2)

adding the 2 equations term by term will eliminate y

6x + 0 = 18

6x = 18 ( divide both sides by 6 )

x = 3

substitute x = 3 into either of the 2 equations and solve for y

substituting into (2)

2(3) + 3y = 9

6 + 3y = 9 ( subtract 6 from both sides )

3y = 3 ( divide both sides by 3 )

y = 1

solution is (3, 1 )

The mistake made by Luke is that he forgot to arrange the numbers in order first before finding the median.

The median is the middle number of a distribution when arrange in ascending or descending order.

7, 11, 12,16, 22, 24, 30

The number has been arrange from the smallest to the largest.

Therefore, the median can be calculated as follows:

median = 16

Therefore, Luke forgot to put the numbers in order first.

learn more on median here: https://brainly.com/question/26742240

#SPJ1

Answer: (C)

100% Correct Answer! Pls, give me brainliest. Thank You!

Using it's concept, it is found that the percentage of students surveyed that said their favorite color was blue was of 53%.

The percentage of an amount a over a total amount b is given by a multiplied by 100% and divided by b, that is:

[tex]P = \frac{a}{b} \times 100\%[/tex]

In this problem, 424 out of the 800 students surveyed said their favorite color was blue, hence the percentage is given by:

[tex]P = \frac{424}{800} \times 100\% = 53\%[/tex]

More can be learned about percentages at https://brainly.com/question/10491646

#SPJ1

Answer:

A.264

Step-by-step explanation:

((Area Of triangle*height)=Volume

Area of triangle is the base of the triangle multiplied by height of triangle divided by 2

((8*6)/2)*11=264

Answer:

(-3, -10)

Step-by-step explanation:

We are asked to solve the system of equations simultaneously.

We need to equate the equations.

=============================================================

Solving :

⇒ -4 + 2x = 4x + 2

⇒ 4x - 2x = -4 - 2

⇒ 2x = -6

⇒ x = -3

============================================================

Finding y :

⇒ y = 4(-3) + 2

⇒ y = -12 + 2

⇒ y = -10

============================================================

Hence, the solution :

(-3, -10)

We have to solve them graphically as per question

Some points has already been found

Graph attached

Solution is

Answer:

I would say B.

Step-by-step explanation:

Perpendicular lines meet at a right angle.

Answer: B

Step-by-step explanation:

Answer:

36

Step-by-step explanation:

Let's say Leslie starts with x oranges.

The first person buys 1/3 of the oranges, leaving behind 2/3 x.

The second person buys 4 oranges, leaving behind 2/3 x − 4.

The third person buys 1/4 of the remaining oranges, leaving behind:

3/4 (2/3 x − 4)

This amount equals 15. Solving for x:

15 = 3/4 (2/3 x − 4)

20 = 2/3 x − 4

24 = 2/3 x

36 = x

If Point T is on the line segment S U, then ST + TU = SU, Hence the length of SU is 16.

The addition is one of the mathematical operations. The addition of two numbers results in the total amount of the combined value.

If Point T is on the line segment S U, then ST + TU = SU

Given;

S T = 6 and T U = 10

Substitute

SU = ST + TU

SU = 6 + 10

SU = 16

Hence the length of SU is 16.

Learn more about lines;

https://brainly.com/question/24077229

#SPJ1

Using it's concept, it is found that the probability that the selected student is wearing a black shirt is given by:

[tex]p = \frac{n}{n + 15}[/tex]

A probability is given by the number of desired outcomes divided by the number of total outcomes.

In this problem, we have that out of n + 6 + 9 = n + 15 students, n are wearing black shirts, hence the probability is given by:

[tex]p = \frac{n}{n + 15}[/tex]

More can be learned about probabilities at https://brainly.com/question/14398287

#SPJ1