2) A college student saves $6000 working over the summer. Then spends $540
a month when he goes back to college. Write a linear function using
meaningful variables to model this situation. Find and interpret the slope
and y-intercept.
Let m = months and D = Dollars in bank
a) D =
b) What does the slope represent in this situation?
c) What does the y-intercept represent in this situation?
3) An exponential function has a starting value of 13 and a growth rate of
0.78%. Write an equation to model the situation.
Y =

Answer:

Note: it seems a typo, should be 2340 instead of 2240

Sum of interior angles of a polygon:

We have:

Find n:

15 sides

90(2n-4)=Sum of interiors

Answer:

14130= I rounded  

Step-by-step explanation:

This is the formula

4/3 x pi x r cubed

radius :15

pi = 3.14

substitue the Values

4/3 times 3.14 times 15 times 15 times 15.

3375 = 15 times 15 times 15

3375 x 3.14 = 10597.5 x  4/3

14130

Answer:

14,137.1669 ft^3

Step-by-step explanation:

1. Cube the radius: 15^3 = 3375

2. Multiply the cubed radius by 4/3: 3375*4/3 = 4500

3. Multiply the equation by 3.14159 (pi): 4/3(3.14159)(3375) = 14,137.1669 ft^3

4. Round your answer as needed.

The length of arc MKL in the image given is: 19.02 m.

Arc length = ∅/360 × 2πr, where r = 1/2(diameter of circle).

∅ = 180 + (90 - 52) = 218°

Radius (r) = 10/2 = 5 m

Arc length of MKL = ∅/360 × 2πr = 218/360 × 2π(5)

Arc length of MKL = 19.02 m

Therefore, the length of arc MKL in the image given is: 19.02 m.

Learn more about arc length on:

https://brainly.com/question/2005046

Answer:

Depth = 5

Width = 4

Height = 4

Total = 80

Step-by-step explanation:

For depth, width, and height you just count

The total equals, depth times width times height = 5x4x4 = 80

Answer:

B. 144√3 in².

Step-by-step explanation:

Given the following data;

Sides of length = 24 inches

Mathematically, the area of an equilateral triangle is given by the formula;

A = √3 * s²/4

Where, s represents the sides of length.

Substituting into the formula, we have;

A = √3 * 24²/4

A = √3 * 576/4

A = √3 * 144

A = 144√3 in²

Answer:

The graph has a domain of {x|0 < x < infinite} and approaches 0 as x decreases

The graph has a domain of {y| -infinite < y < infinite} and decreases as x approaches 0.

Step-by-step explanation:

I was confused at first because I was like "There is 2 answers" and I reread the question again and found my mistake.

And sorry for the wait because "I am in class"

Answer:

n=-559

Step-by-step explanation:

Hope this helps and have a great day. :)

Answer:

n= -559

Step-by-step explanation:

So in order to solve this, you need to subtract 184 on both sides.

n+184=-374

   -184=-184

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

n= -559

So the answer is n= -559

Hope this helped!!! :)

Answer:

24 Red Cars

Step-by-step explanation:

Step 1 : Create a ratio

7:6 = 28:x

Step 2 : Find the relation between the two.

28/7 = 4

Step 3 : Multiply 6 by 4 to find x

6 * 4 = 24

Edit : Reread question

Answer:

24

Step-by-step explanation:

7/6=28/x

7x=28*6

7x=168 ...both divide by 7

x=24

red cars in garage 24

Answer:

if you ant to find the area of the traporziord prism you have to multiply the height and with to find the area

es norte sur este y oeste  es un camino completamente recto esta en circulo por ue esta la brujula que apunta al norte y al sur

Answer:

0.0336

Step-by-step explanation:

the hint says so

According to the result of the test statistic, the approximate p-value for Fay's test is of 0.034.

It depends on the test statistic z, as follows.

In this problem, we are testing if the proportion is greater than a value, hence it is a right-tailed test.

The test statistic is z = 1.83, which has a p-value of 0.966.

1 - 0.966 = 0.034.

Hence, the approximate p-value for Fay's test is of 0.034.

You can learn more about p-values at brainly.com/question/13873630

Answer:

measure of Angle 7 would also be (3y - 8), by the alternate exterior angles theorem

Hope this helps!

C is the closest to 78.089

Answer:

sepalacola

Step-by-step explanation:

Answer:

The first one (top)

Step-by-step explanation:

The coordinate plane works with coordinates being x, y, and so if x is -2, then it would be to the left of 0. 5 is above 0, and you see the 2 lines intersecting at that point.

Answer:

2500

Step-by-step explanation:

The width of 50 meters will produce the maximum garden area of the rectangle of 2500 square meters.

It is a polygon with four sides. The total interior angle is 360 degrees. A rectangle's opposite sides are parallel and equal, and each angle is 90 degrees. Its diagonals are all the same length and intersect in the center.

Marquise has 200 meters of fencing to build a rectangular garden.

The garden's area (in square meters) as a function of the garden's width x (in meters) is modeled by:

A(x)= - x² + 100x

The perimeter of the rectangle = 2( length + Width)

                                            200 = 2( length + Width)

                                        100 - x = L

The area of the rectangle = length × Width

                                           = x(100 - x)

                                           = (-x)²+ 100x

So,  (-x)²+ 100x where, a = -1 and b = 100

w = -100/2(-1)

w = 50

The area of the rectangle = (-x)²+ 100x

                                           = (-50)²+ 100(50)

                                          = 2500

Thus, The width of 50 meters will produce the maximum garden area of the rectangle of 2500 square meters.

More about the rectangle link is given below.

https://brainly.com/question/10046743

#SPJ2

Answer:

Step-by-step explanation:

There are 36 possibilities. That's a lot. I'll give you the two sets of them to give you the idea of how to set it up.

1    1

1    2

1    3

1    4

1    5

1    6

Now you can list all the reverse numbers

2   1

3   1

4   1

5   1

6   1

Do this pairing all the way down and then add the doubles amount.

B: 36  (Stated Above)

C:

4   4

3   5

5   3

6   2

2   6

D

There are 36 possible outcomes.

The Probability is 5/36

The Probability is  0.1388 .... repeating.

Answer:

( + 2 ) ( + 4 )

Step-by-step explanation:

Answer:

See below for answers and explanations (along with a graph)

Step-by-step explanation:

To calculate the vertex, we can transform the expression into an equation in the form of y=a(x-h)²+k and take (h,k) as our vertex. By completing the square, we see that y=x²+6x+8 is the same as y=(x+3)²-1, implying that our vertex is (-3,-1)

To calculate the axis of symmetry, it is defined as the vertical line that passes the x-axis, defined as x=h, therefore the axis of symmetry is x=-3

To calculate the y-intercept, it is defined as the y-value when x=0, therefore the y-intercept would be y=(0)^2+6(0)+8=8, so y=8 or (0,8)

To calculate the x-intercepts, which are the x-values when y=0, we can factor the expression and set it equal to 0 so we can use the Zero Product Property. Therefore, if x²+6x+8=0, then (x+2)(x+4)=0, implying that x+2=0 and x+4=0 are solutions. This means that our x-intercepts are x=-2 and x=-4 or (-2,0) and (-4,0).

Note that there are different ways to achieve these answers. See the graph for a visual reference (you may need to click on it to zoom in).

Answer:

8 cm

Step-by-step explanation:

Ok lets on the biggest square we have 17 cm

17cm is the hypotenuse for the right triangle

The second largest's area is 225 cm^2

Sq root of 225 cm^2, is 15

To find x, lets plug the info we have to the pythagorean theorom

[tex]a^2 + b^2 = c^2\\a^2 + 15^2 = 17^2\\a^2 + 225 = 289\\\\289 - 225 = a^2\\64=a^2\\a = 8 cm[/tex]

The side length of the smallest Square is 8 cm

If my answer is incorrect, pls correct me!

If you like my answer and explanation, mark me as brainliest!

-Chetan K

Answer:

$60

Step-by-step explanation:

$240 = 100%

Discount = 25%

100% - 25% = 75%

75% as a decimal is 0.75

Multiply:

240(0.75) = 180

You could also do 3/4 of 240 because 0.75 is 3/4

To find out how much she saved, let's subtract the sale price from the original price:

240 - 180 = 60

Ella's mom saved $60 from the discount

If my answer is incorrect, pls correct me!

If you like my answer and explanation, mark me as brainliest!

-Chetan K

Answer:

Mean: 88

Median:93

Step-by-step explanation:

To find the mean, add all the numbers to get the sum, then divide by how many numbers there are.

Put the numbers from smallest to largest, then find the number in the middle if there’s an odd amount of numbers. If there is an even amount of numbers, find the two in the middle, add them together, and divide by 2 to get the median.

Mean: 76+82+54+100+100+82+100+93+100+93 = 880/10 = 88

Median: 54, 76, 82, 82, 93, 93, 100, 100, 100, 100

There is an even amount of numbers (10)

The two in the middle are 93 and 93

93+93=186/2=93

Answer:

15.9454=15.9

Step-by-step explanation:

Answer: Trapezoid

Step-by-step explanation:

Trapezoids are parollelograms, that’s all

Answer:2^7 ≠ 7^2

Step-by-step explanation:

2^7 = 2 * 2 * 2 * 2 * 2 * 2 * 2

The only factor is 2

7^2 = 7 * 7

The only factor is 7

Comparing the factors when written as a repeated multiplication,

2^7 and 7^2 have no common factor :

2^7 = 2 * 2 * 2 * 2 * 2 * 2 * 2 = 128

7^2 = 7 * 7 = 49

Answer:

false

Step-by-step explanation:

72 - (-100) --> two negatives turn into a positive

72 + 100

Answer:

B Center: (-4, 8) Radius = 4

Step-by-step explanation:

Answer:

Place 4 dots on top of 1

Place 3 dots on top of 2

Place 2 dots on top of 3

Place 2 dots on top of 4

Place 1 dot on top of 5

Step-by-step explanation: Look at the data given for her experiment. For each amount of times a specific number appears place a dot on that number in the line

Hope this helps