X. Y
-5 -4
-2 -11
1 -18
4 -25

The amount of money saved by the customer is $10.01

If the selling price is greater than the cost price, then the difference between the selling price and cost price is called profit or the money saved.

If the selling price is less than the cost price, then the difference between the cost price and the selling price is called loss or the money loss.

Profit/ Loss= Cost Price(CP)- Selling Price(SP)

When CP> SP, then we can say there is a profit.

When CP<SP, then we can say there is a loss.

When CP=SP, then we can say neither there is a loss nor profit.

Given data, CP= $100

SP= $89.99

Profit/Loss= CP- SP

= $100- $89.99

= $10.01

As we can see our result is positive, so there is a profit.

Final answer: The amount of money saved by the customer is $10.01

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Answer:

Step-by-step explanation:

43,862 - place value - 3,000

75,398 - place value - 300

they are also numbers

Hope it helps!!!

:)

Answer:

Hello,

y=4x-2

Step-by-step explanation:

1: slope.

[tex]\displaystyle \lim_{n \to \infty} \dfrac{f(x)}{x}\\\\= \lim_{n \to \infty} \dfrac{4x^2+6x-1)}{x(x+2)}\\\\= \lim_{n \to \infty} \dfrac{4x^2}{x^2}\\\\=\boxed{4}\\[/tex]

2:

[tex]\displaystyle \lim_{n \to \infty} (f(x)-4x)\\\\= \lim_{n \to \infty} (\dfrac{4x^2+6x-1}{x+2}-4x)\\\\= \lim_{n \to \infty} (\dfrac{4x^2+6x-1-4x^2-8x}{x+2})\\\\= \lim_{n \to \infty} (\dfrac{-2x-2}{x+2})\\\\= \lim_{n \to \infty} (\dfrac{-2x}{x})\\\\=\boxed{-2}\\[/tex]

Slant asymptote is     y=4x-2

Answer:

[tex]y+2.9=-12(x-1)^2[/tex]

Step-by-step explanation:

Vertex form of a quadratic function:

[tex]\boxed{y=a(x-h)^2+k}[/tex]

where:

Given vertex:  (1, -2.9)

Therefore:

Substitute the values of h and k into the formula:

[tex]\implies y=a(x-1)^2-2.9[/tex]

As the function has no x-intercepts, and the vertex is in Quadrant IV, the parabola will open downwards.  Therefore, "a" will be negative.  Without any further information, any number can be substituted for "a".  Therefore, according to the given answer, let a = -12:

[tex]\implies y=-12(x-1)^2-2.9[/tex]

Note:  If "a" was positive, the parabola would open upwards, which means there would be two x-intercepts (two points at which the curve intercepts the x-axis).

Finally, add 2.9 to both sides of the equation so that the equation is in the format of the given answer:

[tex]\implies y+2.9=-12(x-1)^2-2.9+2.9[/tex]

[tex]\implies y+2.9=-12(x-1)^2[/tex]

Answer:no

Step-by-step explanation:1:4 is not equivalent to 3:5

Answer:

Step-by-step explanation:

Calculate 10 to the power of −3 and get  1 over 1000

4.62(1/1000)

the answer is 231 over 50000 or 0.00462

​

Answer: 90,000,000 + 6,000,000 + 900,000 + 2,000 + 100 + 20 + 3

Step-by-step explanation: you add each one and get 96,902,123

Answer:

60

Explanation below

elowHope this helps :)

Step-by-step explanation:

1. Substitute the variables with the given numbers.

(4 + 2) (2 + 8)

2. Add the numbers to get the sum.

(6) (10)

3. Since they are in parenthesis multiply the two numbers.

(6) (10) = 60

Using proportions, the coordinates of F are given as follows: F(-3,5).

A proportion is a fraction of a total amount, and the measures are related using a rule of three. Due to this, relations between variables, either direct(when both increase or both decrease) or inverse proportional(when one increases and the other decreases, or vice versa), can be built to find the desired measures in the problem, or equations to find these measures.

Point F divides the segment such that DF:EF is 5:3, hence the point F is 5/8 of the way, that is:

F - D = 5/8(E - D).

The x-coordinate of F is given by:

x + 13 = 5/8(3 + 13)

x + 13 = 10

x = -3.

The y-coordinate of F is given by:

y + 10 = 5/8(14 + 10)

y + 10 = 15

y = 5.

The coordinates of F are given as follows: F(-3,5).

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Answer: 0.434

Step-by-step explanation:

Answer:

3 (x + 16) 2 + 11 12

Step-by-step explanation:

brainliest please

Answer: -2/15 according to the calculator.

Answer:

-1.9681

the 81 is repeating

Step-by-step explanation:

Answer:

3

Step-by-step explanation:

81/(-9)/(-3)=3

The number 3 is prime number.

Answer:

A, C, E

Step-by-step explanation:

40 + 120 = 160

Remember the correct order of operations, and do the operation inside parentheses first.

A. 4(10 + 30) = 4(40) = 160

B. 2(20 + 120) = 2(140) = 280

C. 40(1 + 3) = 40(4) = 160

D. 40(1 + 30) = 40(31) = 1240

E. 10(4 + 12) = 10(16) = 160

Answer: A, C, E

a) Her gross pay will be $156

b) The domain is D: [10, 15]

c) The range is R: [$130, $195]

We know that Taylor earns 13 dollars per hour on her job at the grocery store.

Then, if she works x hours in the week, her gross wage will be given by the linear equation:

g(x) = $13*x

So,  if she works 12 hours, her gross pay will be:

g(12) = $13*12 = $156

we know that she works between 10 and 15 hours peer week, so the domain (set of the possible inputs of the function) is:

10 ≤ x ≤ 15 or [10, 15] in interval notation.

The range is the set of the outputs, the minimum of the rane is:

g(10) = $13*10 = $130

The maximum of the range is:

g(15) = $13*15 = $195

The range of the linear function is: [$130, $195]

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18 root

2

Step-by-step explanation:

In this question imagine there is no y

It will be 10 root2 +5 root2 +3 root 2 it will be 18 root 2

Answer:

3x - 3

The answer above matches with the statement:

"Three is subtracted from three times a number."

Hope this helps :)

If the number of siblings each person has is one, two, three, four and ten, then the median of number of siblings is 3

Given,

The number of siblings each person has = 1,2,3,4 and 10

Arrange them in ascending order =1,2,3,4 and 10

We know the median is the middle term of the ordered pair

The number of terms n= 5

Middle term is = [tex]\frac{n+1}{2}[/tex]

=[tex]\frac{5+1}{2}[/tex]

=3

The 3rd term is 3.

The median = 3

Hence, If the number of siblings each person has is one, two, three, four and ten, then the median of number of siblings is 3

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Answer:

A

Step-by-step explanation:

Answer:

your answer will be A the first one

Step-by-step explanation:

Answer: 46

Step-by-step explanation: 8 is closer to 10, so 45.8 would round to 46

The arc length of the curve is 1.3125

The length of an arc is the separation of two locations along a segment of a curve.

A defined integral between the two points is used to calculate the area under a curve between two points. Integrate y = f(x) between a and b's limits to find the area under the curve y = f(x) between x = a & x = b. Integration within the defined bounds can be used to calculate this area.

the arc length formula

[tex]$$L=\int_C d s=\int_a^b \sqrt{1+\left(\frac{d x}{d y}\right)^2} d y$$[/tex]

now

[tex]$$\begin{aligned}16 x y^2-y^6 &=8 \\y^2\left(16 x-y^4\right) &=8 \\16 x-y^4 &=8 y^{-2} \\16 x &=8 y^{-2}+y^4 \\x &=\frac{1}{2} y^{-2}+\frac{1}{16} y^4\end{aligned}$$[/tex]

[tex]\frac{d x}{d y}=-y^{-3}+\frac{1}{4} y^3[/tex]

now differential line element is

[tex]$$\begin{aligned}d s &=\sqrt{1+\left(\frac{d x}{d y}\right)^2} d y \\&=\sqrt{1+\left(-y^{-3}+\frac{1}{4} y^3\right)^2} d y \\&=\sqrt{1+y^{-6}-\frac{1}{2}+\frac{1}{16} y^6} d y \\&=\sqrt{y^{-6}+\frac{1}{2}+\frac{1}{16} y^6} d y \\&=\sqrt{\left(y^{-3}+\frac{1}{4} y^3\right)^2} d y \\&=\left(y^{-3}+\frac{1}{4} y^3\right) d y\end{aligned}$$[/tex]

now arc length of the curve in the given interval

[tex]$$\begin{aligned}L &=\int_C d s \\&=\int_1^2\left(y^{-3}+\frac{1}{4} y^3\right) d y \\&=\left[-\frac{1}{2} y^{-2}+\frac{1}{16} y^4\right]_1^2 \\&=-\frac{1}{2}\left(\frac{1}{2^2}-\frac{1}{1^2}\right)+\frac{1}{16}\left(2^4-1^4\right) \\&=\frac{\mathbf{2 1}}{\mathbf{1 6}} \approx \mathbf{1 . 3 1 2 5}\end{aligned}$$[/tex]

this is the arc length of the curve

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Solving system of equations in two variable gives that the number of cards in every booster pack are 10  and number of cards in every premade deck are 32

What is system of equations in two variables and how to find its solution by substitution?

Let x and y be two variables and

a₁x+b₁y =c₁              

a₂x+b₂y =c₂        

Where a₁, a₂, b₁, b₂, c₁, c₂ are  constants   then  we can solve these simultaneous equations by substitution take value of x from equation (1) and then put it in (2) to get an equation for y only and then solve for y. put value of y in equation (1) to get value of x.

Let the number of cards in every booster pack are  x and the number of cards in every premade deck  be y

Number of cards in 5 booster packs will be 5x  and Number of cards in 4  premade deck will be 4y

As Oliver purchases 5 booster packs and 4 premade decks, which included a total of 178 cards.

Thus we get       5x + 4y = 178    .....(1)

Number of cards in 4 booster packs will be 4x  and Number of cards in 7  premade deck will be 7y

As Oliver received 4 booster packs and 7 premade decks, which included a total of 178 cards.

Thus we get     4x +7y = 264       ...(2)

System of equations to be solved is

5x + 4y = 178    .....(1)

4x +7y = 264       ...(2)

From (1) , we get x = [tex]\frac{178-4y}{5}[/tex]

Put this value in (2)

[tex]4(\frac{178-4y}{5}) +7y= 264\\\frac{712}{5} -\frac{16y}{5} +7y = 264\\\frac{712}{5}-264=\frac{16y}{5} -7y\\ y= 32\\x= \frac{178-4(32)}{5 }\\ x=50/5\\x=10[/tex]

Therefore x=10 and y= 32

The number of cards in every booster pack are 10   and number of cards in every premade deck are 32

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The slope of this isoquant equals -2.

A contour line formed across a set of locations where the same quantity of output is produced while changing the quantities of two or more inputs is called an isoquant (derived from quantity and the Greek word iso, meaning equal). A factor of production, like as labor, money, land, or organization, is typically represented by the x and y axes on an isoquant. Another name for an isoquant is a "Iso-Product Curve" or a "Equal Product Curve."

The isoquant mapping deals with the cost-minimization, profit, and output maximization problems of producers, whereas an indifference curve mapping helps consumers address the utility-maximizing problem. Indifference curves and isoquants diverge much more.

Calculations:

q=4L+2K

So, MPL=dq/dL =4

MPK=dq/dK =2

So,Slope=-MPL/MPK

=-4/2=-2

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Answer:

ray BC

Step-by-step explanation:

12

Explanation:

Slope Intercept form is: y=mx+b
m would be the slope

So in y=12x-19, 12 would be the slope in this case.

Cost of 4 pound box of blackberries = $16.64

Cost of 1 pound box of blackberry = [tex]\bf\frac{\cancel{16.64}}{\cancel{4}}4.16[/tex]

Hence, the cost of 1 pound of blackberry is $4.16.

The length of rectangular field is 36.76 m.

Distance is quantified by length. A quantity with the dimension of distance is called length in the International System of Quantities. Most measurement systems choose a length base unit from which all other units are derived. The fundamental unit for length in the International System of Units is the metre.

The term "length" refers to the measurement or size of something from end to end. In other terms, it is the greater of the upper two or third dimension of a geometric shape or object.

Area of rectangle is L × W = 800

given L = 15 + W

W × ( 15+ W) = 800

15W + [tex]W^{2}[/tex] = 800

[tex]W^{2}[/tex] + 15W - 800 = 0

by solving the above quadratic equation W= 21.76 m.

L = 15 + W

L = 36.76 m

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Answer:

How many chapters does Dan read in 56 hours?

Step-by-step explanation:

Answer:

Answer:

420 miles

Step-by-step explanation:

Distance traveled per hour = 55 miles

Distance traveled in 6 hours = 55 * 6 = 330 miles

Distance of the trip = 330 + 90  = 420 miles

Step-by-step explanation: