Suppose Fatima went to buy a $25,000 car and wanted to own it after 5 years. If she got a
4.7% interest rate, what is her monthly payment?

Answer:

C:  Square centimeters

Step-by-step explanation:

We are measuring length here, not volume, so recognize that this fact eliminates Answer B.  The area of a rectangle, such as this picture is, is A = Length * Width, measured in (cm)(cm), or C:  Square centimeters.

Answer:

Hence,

a)

Test statistic \(X^{2}\) = 9.269.  

p value = 0.148

b)

Sunday=  15.23%, Monday= 12.62%, Tuesday= 13.10%, Wednesday=11.67%,

Thursday= 13.10%, Friday= 16.19%, Saturday= 18.09%.

Step-by-step explanation:

a)

                    relative observed    Expected       Chi square

Category   frequency(p)      \(O_{i}\)    Ei=total*p    \((O-E)^{2}\) \(R^{2}_{i} =(O_{i} -E_{i} )^{2} /E_{i}\)

     1           0.142857143      64.0         60.00    16.00          0.267

    2           0.142857143      53.0       60.00     49.00         0.817

    3           0.142857143      55.0         60.00     25.00        0.417

    4           0.142857143      49.0       60.00     121.00        2.017

    5           0.142857143      55.0         60.00     25.00        0.417

    6           0.142857143      68.0         60.00     64.00        1.067

    7           0.142857143      76.0         60.00    256.00        4.267

  Total         1.000      420        420             556       9.269

Test statistic \(X^{2}\) = 9.269.  

p value = 0.148 from excel: chidist(9.269,6)  

b)

Percentage %= Frequency of traffic occur on category x 100 / Total number of frequency given.

Category          Percentage%

Sunday                   15.23%

Monday                    12.62%

Tuesday                   13.10%

Wednesday           11.67%

Thursday           13.10%

Friday                   16.19%

Saturday                   18.09%

To prove that there are only these five regular polyhedra, we can consider Euler's polyhedron formula, which states that for any convex polyhedron, the number of vertices (V), edges (E), and faces (F) satisfy the equation V - E + F = 2.

The five regular polyhedra, also known as the Platonic solids, are the only convex polyhedra where all faces are congruent regular polygons, and the same number of polygons meet at each vertex.

The five regular polyhedra are:

1. Tetrahedron: It has four triangular faces, and three triangles meet at each vertex.

2. Cube: It has six square faces, and three squares meet at each vertex.

3. Octahedron: It has eight triangular faces, and four triangles meet at each vertex.

4. Dodecahedron: It has twelve pentagonal faces, and three pentagons meet at each vertex.

5. Icosahedron: It has twenty triangular faces, and five triangles meet at each vertex.

To prove that there are only these five regular polyhedra, we can consider Euler's polyhedron formula, which states that:

"for any convex polyhedron, the number of vertices (V), edges (E), and faces (F) satisfy the equation V - E + F = 2".

For regular polyhedra, each face has the same number of sides (n) and each vertex is the meeting point of the same number of edges (k). Therefore, we can rewrite Euler's formula for regular polyhedra as:

V - E + F = 2  

=>  kV/2 - kE/2 + F = 2  

=>  k(V/2 - E/2) + F = 2

Since each face has n sides, the total number of edges can be calculated as E = (nF)/2, as each edge is shared by two faces. Substituting this into the equation:

k(V/2 - (nF)/2) + F = 2  

=>  (kV - knF + 2F)/2 = 2  

=>  kV - knF + 2F = 4

Now, we need to consider the conditions for a valid polyhedron:

1. The number of faces (F), edges (E), and vertices (V) must be positive integers.

2. The number of sides on each face (n) and the number of edges meeting at each vertex (k) must be positive integers.

Given these conditions, we can analyze the possibilities for different values of n and k. By exploring various combinations, it can be proven that the only valid solutions satisfying the conditions are:

(n, k) pairs:

(3, 3) - Tetrahedron

(4, 3) - Cube

(3, 4) - Octahedron

(5, 3) - Dodecahedron

(3, 5) - Icosahedron

Therefore, there exist only five regular polyhedra.

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Answer:

5pi/12

105 degrees

Step-by-step explanation:

I can help with the first 2 too many answers in one will get my answer deleted

7pi/12  x 180/pi

7x15=105

Hopes this helps please mark brainliest

(i)  \(\lim_{x \to \frac{\pi^-}{2}}\) h(x) = 3

(ii) \(\lim_{x \to \frac{\pi^+}{2}}\) h(x) = -1

(iii) h(0) = 1/7

The value of λ must be 7, for h(x) to be continuous at x = 0.

The given function is,

h(x) = 1/7, when x = 0

      = 1 - 2 cos 2x, when x < π/2

      = 1 + 2 cos 2x, when x > π/2

      = x cos x/sin λx, when x < 0

Now,

(i) \(\lim_{x \to \frac{\pi^-}{2}}\) h(x) = \(\lim_{x \to \frac{\pi^-}{2}}\) (1 - 2 cos 2x) = 1 - 2 cos π = 1 + 2 = 3

(ii) \(\lim_{x \to \frac{\pi^+}{2}}\) h(x) = \(\lim_{x \to \frac{\pi^+}{2}}\) (1 + 2 cos 2x) = 1 + 2 cos π = 1 - 2 = -1

(iii) h(0) = 1/7

Since the function is continuous at x = 0, so

\(\lim_{x \to 0}\) h(x) = h(0)

\(\lim_{x \to 0}\) x cos x/sin λx = 1/7

\(\lim_{x \to 0}\) cos x.\(\lim_{x \to 0}\) 1/λ(sinλx/λx) = 1/7

1/λ = 1/7

λ = 7

Hence the value of λ must be 7.

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Answer:

3(m+7)

Step-by-step explanation:

solution,

3 times

the sum of m amd 7

= 3(m+7)

Answer:

its 3 x (m + 7)

Step-by-step explanation:

sue me if im wrong

Answer: The probability that both events A and B will occur is 5/18 or 0.28.

Step-by-step explanation:

To determine the probability that both events A and B will occur, we need to calculate the probabilities of each event separately and then multiply them together.

Event A: The probability of rolling a 5 or 6 on the first die is 2 out of 6 (since there are two favorable outcomes out of six possible outcomes on a fair six-sided die). Therefore, the probability of event A is 2/6 or 1/3.

Event B: The probability of not rolling a 1 on the second die is 5 out of 6 (since there are five favorable outcomes out of six possible outcomes). Therefore, the probability of event B is 5/6.

To find the probability that both events A and B occur, we multiply the probabilities:

Probability(A and B) = Probability(A) * Probability(B) = (1/3) * (5/6) = 5/18.

Answer:

14

Step-by-step explanation:

To make 166 a supplementary angle you should add 14 because supplementary angles equal 180.

Answer:

14

Step-by-step explanation:

Supplementary angles add to 180 degrees.

Let x be the unknown supplement

x+166 = 180

x+166-166 = 180-166

x =14

The unknown supplement is 14

Using an exponential function, it is found that the amount of total sales by the end of the 4th quarter is of $224,671.875.

An increasing exponential function is modeled by:

\(A(t) = A(0)(1 - r)^t\)

In which:

In this problem, the parameters are r = 0.15 and A(0) = 45000.

Then:

Then, the total amount is:

T = A(0) + A(1) + A(2) + A(3) = 45000 + 51720 + 59512.5 + 68439.375 = $224,671.875.

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Answer:

x < -3 or x > 2

Step-by-step explanation:

x² + x - 6 > 0

Convert the inequality to an equation.

x² + x - 6 = 0

Factor using the AC method and get:

(x - 2) (x + 3) = 0

If any individual factor on the left side of the equation is equal to 0, the entire expression will be equal to 0.

x - 2 = 0

x = 2

x + 3 = 0

x = -3

So, the solution is x < -3 or x > 2

Answer:  1,000 millimeters

The prefix "milli" means "thousandth". One thousandth of a meter is a millimeter (mm). So it takes 1000 mm to form a full meter.

Answer:

yes your correct

Step-by-step explanation:

Answer:

Y= 2x^2+14x+12

Explaination:

When it gives you the roots you can automatically change the sign and put them with the x in factors such as

y = (x+6)(x+1)

Then you put the leading coefficient of 2

y = 2(x+6)(x+1)

Then to get it in standard form you distribute the parenthesis the the 2 to get:

Y= 2x^2+2x+12x+12

Combine like terms and you'll answer will be

Y= 2x^2+14x+12

Given:

Force is inversely proportional to the length.

That is,

If F=50 pounds then L=9 inches.

So,

Substitute (2) in (1) we get,

To find the length when F=20 pounds

Hence, the answer is 22.50 inches.

Answer:

look at the photo

...................................

Answer:

-1/4

Step-by-step explanation:

(-9.3) when looking at points writen in this format, the first number is x and the second is y, (x,y)

so
(-9,3) and (-1,1)
to get from the first point to the second, you move right 8 (-9 to -1) and down 2 (3 to 1)
when writing the slope you put the change in y (-2) on the top, and the change in x (8) on the bottom

-2/8 → -1/4

the formula is
(y2 - y1) / (x2 - x1)

Answer:

La oración numérica para verificar la respuesta 48 + = 6 sería: 48 + 6 = 54.

Step-by-step explanation:

well, the profit is clearly just 490 - 350 = 140.

Now, if we take 350(origin amount) to be the 100%, what is 140 off of it in percentage?

\(\begin{array}{ccll} Amount&\%\\ \cline{1-2} 350 & 100\\ 140& x \end{array} \implies \cfrac{350}{140}~~=~~\cfrac{100}{x} \\\\\\ \cfrac{5}{2} ~~=~~ \cfrac{100}{x}\implies 5x=200\implies x=\cfrac{200}{5}\implies x=40\)

Graphs 1, 2, and 3 have no solution, one solution, and infinitely many solutions. And the system 1, 2, and 3 is solved by the elimination method, elimination method, and substitution method respectively.

A linear system is one in which the parameter in the equation has a degree of one. It might have one, two, or even more variables.

The graphs and system of the linear equations are shown.

Graph 1 represents the no solution because the lines are parallel.

Graph 2 represents the one solution because the lines are intersecting.

Graph 3 represents the infinitely many solutions because the lines are coincident.

System 1 can be solved by the elimination method because the coefficient of y is equal but opposite in sign.

System 2 can be solved by the elimination method because the coefficient of y is equal.

System 3 can be solved by the substitution method because the variable x is separated already.

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Answer:

The change is of -1.3 percentage points.

Step-by-step explanation:

The humidity is currently 56% and falling at a rate of 4 percentage points per hour.

This means that after n hours the humidity is of:

\(H(n) = 56 - 4n\)

Estimate the change in humidity over the next 20 minutes.

It currently is 56%.

20 minutes is 20/60 = 1/3 of an hours, so:

\(H(\frac{1}{3}) = 56 - 4\frac{1}{3} = 54.7\)

Change:

54.7 - 56 = -1.3

The change is of -1.3 percentage points.

The change in humidity over the next 20 minutes falling at a rate of  4 percentage points per hour is -1.3.

The humidity is currently 56% and falling at a rate of 4 percentage points per hour.

The change is determined by the small about of humidity changes x to x+h, so the output of x+h is the value of f at x plus the approximate change in f, that is

\(\rm f(x+h) =f(x) + f'(x) \times h\)

f(x)= 56%

20 minutes is 20/60 = 1/3 of an hours

So, The change in humidity is

\(f'(x) = 4 \times 1/3\)

f'(x) = 1.3

Here, it is falling at the rate of 4% point per hour so we will take it as negative as -1.3.

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The unit price of the lemonade is $0.50 per ounce.

It can determine the unit price, we need to divide the total cost by the quantity purchased.

Unit price = total cost/quantity

In mathematics, divides left-hand operands into right-hand operands in the division operation. The primary purpose of the division is to generate equal groupings or to determine how many people are in each category after a fair distribution.

For example 4/2 = 2

As per the question, the total cost is $26.40 and the quantity is 52.8 ounces.

Unit price = 26.40 / 52.8

Apply the division operation, and we get

Unit price = 0.50

Therefore, the unit price of the lemonade is $0.50 per ounce.

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Answer:

yes there is a problem

Step-by-step explanation:

The ranking should start from 0 n u can see its started from5

Answer:

(A) Yes, the vertical axis should begin at 0, not at 5.

Step-by-step explanation:

I just took the AP Stat Unit test on Edg2022 and got 100%.

When the vertical axis does not start at 0, it makes the graph look misleading.

Don't forget to press that THANKS button!

x = 1000, will have the average cost per cell phone be $150.

What is the average cost?

Average Cost is the manufacturing cost determined by dividing Total Cost (TC) by Total Output (TO) (Q).

Here, we have

Given:

A cell phone company’s average cost for producing cell phones is modeled by the equation y= 30,000+120x/x where y is the average cost per cell phone.

We have to find how many cell phones x, will the average cost per cell phone be $150.

To solve for x, we can rearrange the equation to solve for x:

y = 30000 + 120x/x

Isolating x on one side of the equation gives:

x = 30000/(y - 120)

Substituting y = 150 into this equation gives:

x = 30000/(150 - 120)

This simplifies to:

x = 30000/30

Which simplifies to:

x = 1000

Hence, x = 1000, will have the average cost per cell phone be $150.

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Answer:

  m = 20

Step-by-step explanation:

You want the value of m when (4m +10)° represents an angle of 90°.

The perpendicular bisector XZ intersects segment WY at right angles. The measure of a right angle is 90°, so we have ...

  (4m +10)° = 90°

Dividing by ° and subtracting 10 gives ...

  4m +10 = 90

  4m = 80

  m = 20 . . . . . . divide by 4

The value of m is 20.

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Answer:

0.25

Step-by-step explanation:

Given that :

Charity raffle price = $1000

Amount of ticket sold = 4000

Only one winner is to be selected ;

Point ticket buyer is expected to break even :

Probability of winning = 1 / number of ticket sold = 1 / 4000 = 0.00025

P(winning) * raffle price = 0.00025 * 1000 = 0.25

Answer:

Domain: x ≥ -2

Range: y ≥ -4

Step-by-step explanation:

Since the dot is filled in, it means that the values of domain and range will be greater than or equal. The domain is represents all the values of x, and range is of y, shown in the graph. The smallest value of x is -2, and it continues to the right, increasing. The smallest value of y is -4, and it continues its way up, also increasing.

Answer:

12+ 23734.9d That's the incorrect answer.