A computer training institute has 625 students that are paying a course fee of $400. Their research shows that for every $20 reduction in the fee, they will attract another 50 students. Which equation could be used to represent this situation, where x is the course fee and R(x) is the total revenue?
R(x) = −2.5x2 + 1625x
R(x) = −3x2 + 1650x
R(x) = 3x2 − 1650x
R(x) = 2.5x2 − 1625x

Answer:

0.3

Step-by-step explanation:

Answer:

0.3

Step-by-step explanation:

I hope this is what you where asking for?

By using Orbit-Stabilizer Theorem, we can prove that the number of G-subsets of X is 2n, where n is the number of distinct orbits in X

The Orbit-Stabilizer Theorem states that, for any element x in a G-set X, the number of elements in the orbit of x is equal to the number of elements in the stabilizer of x, multiplied by the number of orbits in X. In other words, if G is a group and X is a finite G-set, then the following equation holds:

|G| = |Orbit(x)| * |Stabilizer(x)|

where |G| is the number of elements in G, |Orbit(x)| is the number of elements in the orbit of x, and |Stabilizer(x)| is the number of elements in the stabilizer of x.

A subset is a set of objects or elements that are contained within another set.

we can use the Orbit-Stabilizer Theorem. This theorem states that, for any element x in a G-set X, the number of elements in the orbit of x is equal to the number of elements in the stabilizer of x. The orbit of x is the set of all elements that can be obtained from x by applying the action of G, and the stabilizer of x is the set of all elements of G that leave x unchanged.

Since each element of X belongs to exactly one orbit, there are a total of n orbits in X. For each orbit, we can either include all of the elements in the orbit in our G-subset or exclude all of the elements in the orbit. This gives us 2 options for each of the n orbits, so the total number of G-subsets of X is 2^n = 2n.

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Answer:

the marked price of a mobile is 25% above its cost price when it is sold at a gain of 10%, the profit amount to RS 725 find the marked price of the mobile

Step-by-step explanation:

Hope this helps.......

Answer:

Assuming u meant 2y - 13y^(11), the degree is 11

Step-by-step explanation:

Answer:

Step-by-step explanation:

The highest power is 11 so the degree of polynomial is 11.

The additional information would allow you to prove the quadrilateral is a parallelogram according to the minimum criteria is

EJ ≅ GJ. Option A

We need to know the properties of a parallelogram, we have;

We know that FJ  ≅ JH, it's given by the marks, now if it were to happen that EJ ≅ GJ, that would mean that the diagonals on that quadrilateral are bisecting each other, and if that's so, then the quadrilateral it's indeed a parallelogram.

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The complete question:

What additional information would allow you to prove the quadrilateral is a parallelogram according to the minimum criteria?

A)

ej ≅ gj

B)

ej || gj

C)

fg || eh

D)

ef ≅ hg

Answer:

Step-by-step explanation:

28

Answer:

27⁰

Step-by-step explanation:

angles on a straight line add up to 180⁰

180-(39+86+28)=YVZ

Answer:

$5809.17

Step-by-step explanation:

Using the formula for continuous compound interest \(P(t)=Pe^{rt}\) We can plug in our values \(P(t)=5000e^{0.03*5}\) and solve.

Charles would like to buy a new car that costs $32 000. The dealership offers to finance the car at 2.4%/a, it's best for Charles loans from the bank to buy car.

Generally, the equation for the monthly loan payment is mathematically given as

\(R=\frac{\frac{iP}{N}}{1-(\frac{1}{N})^{NY}}\)

Therefore

\(R=\frac{\frac{0.024*32000}{12}}{1-(\frac{0.024}{12}+1)^{-12*5}}\)

R=566.51

Hence the total payment is

T=R*N*Y

T=33990.34

By taking a loan of 29000, and applying the equation

T'=33155.77

In conclusion, it is best for Charles loans from the bank to buy a car.

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Answer:

I can tell it's the answer number 5

Answer:

24

Step-by-step explanation:

i dont know if its correct

1. We can see that the number in the bottom box is: 13.5yd.

2. The number in the top box is: 7.5yd.

3. The area of the table = 78.75yd²

A trapezoid, also known as a trapezium in some countries, is a quadrilateral shape that has only one pair of parallel sides. The parallel sides of a trapezoid are called the bases of the trapezoid, and the non-parallel sides are called the legs.

We see here that in order to get the number in the bottom box, we discover that the number in the top box is a square which means that all the sides are equal to 7.5yd.

Thus, the number in the bottom box = 3 + 7.5 + 3 = 13.5yd.

Thus, the area of the table, a trapezoid = 1/2(a + b)h

Where a = 7.5yd

b = 13.5yd

height, h = 7.5yd.

Thus, A = 1/2(7.5 + 13.5) 7.5 = 157.5/2 = 78.75

∴ Area of the table, A = 78.75yd²

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Answer:

when f=3.5, f(x) = 1.2

Step-by-step explanation:

[4(3.5) -2] / 10 = 12/10 = 1.2

Answer:

54,288

Step-by-step explanation:

Current model cost is $52,000

The next model is current cost plus 4.4%

4.4% of 52000 equals 2,288

52000+2,288=54,288

Answer:

20 is it's right answer I think ok

Answer: ANSWER DOWN BELOW

Step-by-step explanation:

The net change between the given values of the variable is  \(\frac{4h}{a(a+h)}\).

\(f(t)=\frac{4}{t}, t=a,t=a+h\)

\(f(a)=\frac{4}{a} \\\\f(a+h)=\frac{4}{a+h}\)

To find net change, subtract \(f(a+h)\) from \(f(a)\)

Net Change is,

                         \(=\frac{4}{a}-\frac{4}{a+h}\\\\=\frac{4(a+h-h)}{a(a+h)} \\\\=\frac{4h}{a(a+h)}\)

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Answer:

The question is with replacement, so the probability of drawing an ace would be 4/52 and the probability of drawing a spade would be 13/52. What am I missing? You found the probability that the first card is an ace and the second card is a spade, but there are other ways to draw an ace and a spade.

Step-by-step explanation:

The volume of the composite figure made of a rectangular and triangular prism is 216 in³

Volume of rectangular prism = length * width * height

Given the following parameters:

l = 6in

w = 6in

h = 4in

Substitute

V = 6 * 6 * 4

V = 144in³

The volume of the triangular prism = 1/3(6*4)*6
The volume of the triangular prism = 72 in³

Hence the volume of the figure  = 144in³ + 72 in³
The volume of the figure = 216 in³

Therefore the volume of this figure is 216 in³

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Answer:

Step-by-step explanation:

Given the expression sin mπ/256 and cos mπ/256

If m = 2;

sin mπ/256 = sin 2π/256

sin 2π/256  =  sin π/128

since 180° = π rad

sin π/128 =  sin 180/128

sin 180/128 = 0.0245

cos mπ/256 = cos 2π/256

cos 2π/256  =  cos π/128

since 180° = π rad

cos π/128 =  cos 180/128

cos 180/128 = 0.9997

If m = 4;

sin mπ/256 = sin 4π/256

sin 4π/256  =  sin π/64

since 180° = π rad

sin π/64 =  sin 180/64

sin 180/64 = 0.04907

cos mπ/256 = cos 4π/256

cos 4π/256  =  cos π/64

since 180° = π rad

cos π/64 =  cos 180/64

cos 180/64 =0.9988

If m = 6;

sin mπ/256 = sin 3π/128

sin 3π/128  =  sin 540/128

sin 540/128 = 0.0736

cos mπ/256 = cos 6π/256

cos 6π/256  =  cos 3π/128

since 180° = π rad

cos 3π/128 =  cos 540/128

cos 540/128 = 0.9973

The maximum APR with quarterly compounding that the borrower will accept from a lender is 16.132%.

To convert the maximum effective monthly rate of 1% into an APR with quarterly compounding, we can use the formula:

\(APR = [(1 + \dfrac{r}{n})^n - 1] \times 4\)

Where r is the effective monthly rate and n is the number of compounding periods per year. In this case, we want to find the maximum APR with quarterly compounding that the borrower will accept, so we can substitute r = 1% and n = 3:

\(APR = ((1 + \dfrac{0.01}{3})^3 - 1) \times 4\)

APR = (1.0100333³ - 1) x 4

APR = 0.04033 x 4

APR = 0.16132 or 16.132%

Therefore, the maximum APR with quarterly compounding that the borrower will accept from a lender is 16.132%.

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Answer:

48 units squared

Step-by-step explanation:

Answer:

The answer is 11

Step-by-step explanation:

55÷5= 11

Answer:

y=30x+55

Step-by-step explanation:

$55 is constant because for each trip he will take $55 dollars so that gives you your y-intercept and m=$30 and x is the amount of hours worked. every time x increases he will be making more money

Lavage Rapide's total cost per car washed is $19.05.

An equation in mathematics is a statement that states the equality of two expressions. An equation is made up of two sides that are separated by an algebraic equation (=). For example, the argument "2x + 3 = 9" asserts that the phrase "2x Plus 3" equals the value "9." The purpose of equation solving is to determine the value or values of the variable(s) that will allow the equation to be true. Equations can be simple or complicated, regular or nonlinear, and include one or more elements. The variable x is raised to the second power in the equation "x2 + 2x - 3 = 0." Lines are utilised in many different areas of mathematics, such as algebra, calculus, and geometry.

Fixed costs are expenses that do not change based on the number of units produced or sold. Variable costs, on the other hand, change with the level of production or sales. Here, the fixed costs are cleaning supplies, electricity, maintenance, wages and salaries, depreciation, rent, and administrative expenses.

The variable cost is the cost per car washed, which includes wages and salaries and administrative expenses.

To calculate the total cost per car washed, we need to add fixed costs to the variable cost per car. So, the total cost per car washed for Lavage Rapide would be:

Total Cost per Car Washed = Fixed Costs + Variable Cost per Car Washed

Total Cost per Car Washed =\(($0.80 + $1,400 + $0.20 + $4,700 + $8,000 + $2,100 + $1,400) + ($0.40 + $0.05)\)

Total Cost per Car Washed = $18,620 + $0.45

Total Cost per Car Washed = $19.05

Therefore, Lavage Rapide's total cost per car washed is $19.05.

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complete question:

Fixed Cost per Month Cost per Car Washed

Cleaning supplies $ 0.80

Electricity $ 1,400 $ 0.08

Maintenance $ 0.20

Wages and salaries $ 4,700 $ 0.40

Depreciation $ 8,000

Rent $ 2,100

Administrative expenses $ 1,400 $ 0.05

Only point Q is on the ∠MNO because when we connect the point M and O then point R lies outside the ∠MNO. Only point Q remains inside.

In the given question we have to name a point on ∠MNO.

As we know that;

Evaluating the number of points in the curve of the triangle's vertices that are close to the location in question is the easiest method for determining whether a point is inside a triangle. The point on the curve is inside the triangle if it has three points; if it has four, it is outside the triangle.

When we check in the graph then only point Q is on the ∠MNO because when we connect the point M and O then point R lies outside the ∠MNO. Only point Q remains inside.

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Answer:

$491.25

Step-by-step explanation:

Amy is an installer for the telephone company. She earns $13.10 per hour. How much will she earn in 37.5 hours? ​

$13.10 * 37.5 = $491.25

Answer:

Step-by-step explanation:

The first one is true. There can't be any other choice.

a = 5959599949 b = 0 then a*b = 0 because b = 0

The Second one is also true, although you may stall trying to figure out what is meant.

Suppose the angle to start with is 30 degrees

There are two angles that are supplementary to this angle. They can only be 180 - 30 = 150 each. Therefore they are equal to each other. This happens because supplementary angles must add to 180 and nothing else.

The third one is false. You can think of states like Montana which has 3 syllables and Wyoming which also has 3. Texas has two. But guess what? Maine only has 1.

The last one is also false. If you square an even number, you get an even number. Add 1 and you get an odd number. 4^2 = 16 Add 1 you get 17. Seventeen is odd.