You are planning a community event. Last year, 1,202 people attended the event. This year, you expect 5% more people will attend. How many people should you plan for? (Round your answer to the nearest whole number.)

Answer:

195

Step-by-step explanation:

Answer:

This is the simplified answer i think thats what u need right?

6x-18

The average cost of your item, based on a gross margin of 3%, is $108.20.

The average cost is the cost per unit.

It can be computed as the quotient of the total cost and the number of units.

The gross margin is the percentage difference between the cost of goods sold and the sales revenue.

The gross margin percentage is expressed as a quotient of the sales revenue multiplied by 100.

Selling price = $111.55

Gross margin = 3%

Selling price = 100%

Cost of goods sold = 97% (100 - 3)

Average cost (cost per unit) = Selling Price x Percentage Cost/Selling Price Percentage

$108.20 ($111.55 x 97/100)

Thus, the average cost of the product is $108.20.

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Answer:

Number 1

425,176- 400,00

4,008- 4,00

Number 2

C, B,

Step-by-step explanation:

Answer:

Range = 19

Step-by-step explanation:

Range = maximum value - minimum value

Maximum value is indicated by the whisker to our far right on a box plot = 25

Minimum value is at the whisker to our far left = 6

Range = 25 - 6 = 19

Answer:

the answer is D

Step-by-step explanation:

√-9 ≠ -3

-3 ≠ √-9

(-3)² ≠ -9 ( proven )

9 ≠ -9

The value √-9 ≠ -3², option D is correct answer.

An imaginary number is a number that, when squared, has a negative result.

Given an expression, √-9

√-9 ≠ -3

-3 ≠ √-9

(-3)² ≠ -9

9 ≠ -9

Hence, √-9 ≠ -3²

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Answer:

The percentage  of homes will have a monthly utility bill of more than $87

P(X>87) = 0.8413 X 100 = 84.13%

Step-by-step explanation:

Explanation:-

Given Mean of the Population =97

Standard deviation of the Population = 10

Let 'X' be the random variable in normal distribution

        \(z=\frac{x-mean}{S.D}\)

       \(z=\frac{87-97}{10}\)

      Z= -1

The probability that  homes will have a monthly utility bill of more than $87

P(X>87) = P( Z>-1) = 0.5 + A(-1)

                            = 0.5 + A(1)     (∵A(-1)=A(1)

                           =0.5 +  0.3413

                           = 0.8413

The percentage  of homes will have a monthly utility bill of more than $87

P(X>87) = 0.8413 X 100 = 84.13%

Answer:

-84+(-11)= -95

-84 + (-11) = -84 - 11 = -95

By the commutative property, adding a negative number is the same as subtracting that number as a positive; therefore, something + (-11) = something - 11. After changing the equation from -84 + (-11) to -84 - 11, we use regular addition properties, adding the tens place and ones place to get -95.

Answer: x plus y equals 28. x equals 3 y.

Step-by-step explanation:

The equation can be written as

x+y=28

x=3y

x is already partially solved here, so you could substitute it into the first equation to solve for y.

3y+y=28

4y=28

y=7  We have y, so substitute that in the second equation to solve for x.

x=3(7)

x=21

We now know that x=21 and y=7

Substitute the values into the first equation:

21+7=28

28=28

So that system of equations is correct.

Answer:

i think its d

Step-by-step explanation:

Answer:

T

Step-by-step explanation:

Using the vertical line test, you can't have two x's with different y's, so since the last table has two 3's and two 4's in the x column, it cannot represent a function.

Answer:

The Answer Will Be D

Step-by-step explanation:
The fuel economy of a car is modeled by the function f(s) = -0.009s² +0.699s +12 where s represents the speed of the car, measured in miles per hour.We need to find the fuel economy of the car when it travels at an average of 20 miles an hour.f(20) = -0.009(20)² +0.699(20) +12f(20) = -0.009(400) +13.98f(20) = 9.6The fuel economy of the car when it travels at an average of 20 miles an hour is 9.6 miles per gallon.Therefore, the answer is option D. 22.38 miles per gallon.

Answer:

see the attachment photo!

Answer:

D

Because you have to find out what they could all equal up to

Answer:

d

Step-by-step explanation:

The image of the point L(-4,0) after a dilation with a center of (0,0) and a scale factor of 7 is the point L'(-28,0).

A dilation with a center of (0,0) and a scale factor of 7 means that every point in the plane will be multiplied by a factor of 7 from the origin.

To find the image of the point L(-4,0) after a dilation with a center of (0,0) and a scale factor of 7, we can simply multiply the coordinates of L by the scale factor.

The coordinates of the image point L' will be:

L' = (-4 × 7, 0 × 7) = (-28, 0)

Therefore, the image of the point L(-4,0) after a dilation with a center of (0,0) and a scale factor of 7 is the point L'(-28,0).

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All of the statements are equivalent to saying that there is a 50% increase in the cost of a movie.

The formula for calculating a percentage increase is:

Percentage increase = (New Value - Original Value) ÷ Original Value x 100

In this case, we can say that the original value is the cost of the movie before the increase, and the new value is the cost of the movie after the increase. Let's say the original cost of the movie is $10. Then the percentage increase is 50%.

We can calculate the new cost of the movie as follows:

New Cost = Original Cost + (Original Cost x Percentage Increase)

New Cost = 10 + (10 x 0.50)

New Cost = 10 + 5

New Cost = 15

Therefore, we can say that the new cost of the movie is 15, which is one and a half times the original cost of $10. The increase in the cost of the movie is 5, which is half the original cost of $10. The cost of the movie did double, from the original cost of $10 to the new cost of 15.

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Answer:

positive real

Step-by-step explanation:

Answer: I need help with this as fast as someone can. PLS let me know who to do it

Step-by-step explanation:

Based on the information, the hedgehogs have made the better offer

The Turkeys are offering a yearly salary of S(t) = 90000t over the course of eight years. To calculate the present value of each payment, an equation is used:

PV = S(t) * e^(-rt)

The variable "r" denotes a continuous interest rate of 0.03. "t" equals the years from t=0 to the time of payment. By this method, the current value of the Turkeys' offer can be assessed as follows:

PV(Turkeys) = ∫[0,8] 90000t * e^(-0.03t) dt

= 736,918.63

Comparatively, the Hedgehogs propose a yearly salary of S(t) = 80000t for nine years. Utilizing the formula employed in the previous scenario, the following result is derived:

PV(Hedgehogs) = ∫[0,9] 80000t * e^(-0.03t) dt

= 753,472.49

Given these calculations and the presumption that Rogelio may earn a continuous interest rate of 3% on his funds, it would best serve him to accept the Hedgehogs’ item offer since they have offered him a more favorable contract based on the accumulated present value of both contracts.

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Answer:

15. $8.47

16. $14.68

17. $121.04

18. $60.52

Step-by-step explanation:

15. Sale tax Round to the nearest cent=

8.65% of $97.89 = 0.0865 × $97.89 = $8.47

16. Tips Round to the nearest cent=

15% of $97.89 = 0.15 × $97.89 = $14.68

17. Total =

$97.89 + $8.47 + $14.68 = $121.04

18. Amount each person pays Round to the nearest cent =

$121.04/2 = $60.52

According to the data, it can be inferred that Lin is faster than Andre because she is going at 0.3 km/min speed while he is going at 0.25 km/min speed.

To calculate who goes faster we must divide the time into the distance traveled by each character as shown below:

According to the above, the point K of each would be equal to the distance that each of them travels in one minute. As shown in the graph, after 5min (Lin) and 8min (Andre), each one reaches their respective destination located 1.5km and 2km away, respectively, taking the point (0,0) as the starting point.

The graph is attached.

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Answer:

5a.    \( \dfrac{2 \pi}{3}~rad \)

5b.    \( \dfrac{7 \pi}{6}~rad \)

5c.    \( \dfrac{5 \pi}{3}~rad \)

Step-by-step explanation:

The angle of a full circle is 2π radians.

The angle of a full circle is 360°.

That gives us enough information to create a formula to convert from degrees to radians and from radians to degrees.

2π radians = 360°

Divide both sides by 2.

π radians = 180°

Divide both sides by 180°.

(π rad)/(180°) = 180°/180°

(π rad)/(180°) = 1

Notice that the fraction (π rad)/(180°) = 1, and when you multiply a number by 1 you get the original number.

Now you can multuoply any degree measure by this fraction. the degrees cancel out,a nd you get radians. Also since the fraction equals 1, you are not changing the amount of degree. you are jus changi ng degrees to radians.

5a.

\(120^\circ \times \dfrac{\pi ~rad}{180^\circ} = \dfrac{2 \pi}{3}~rad\)

5b.

\(210^\circ \times \dfrac{\pi ~rad}{180^\circ} = \dfrac{7 \pi}{6}~rad\)

5c.

\(300^\circ \times \dfrac{\pi ~rad}{180^\circ} = \dfrac{5 \pi}{3}~rad\)

The value of side EA is,

EA = 16.9

We have to given that;

Circle E with diameter CD and radius EA.

And, AB is tangent to E at A.

Here, AB = 34 and EB = 38

Hence, By using Pythagoras theorem we get;

AB² + AE² = EB²

34² + AE² = 38²

1156 + AE² = 1444

AE² = 1444 - 1156

AE² = 288

AE = √288

AE = 16.9

Thus, The value of side EA is,

EA = 16.9

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Answer:

Step-by-step explanation:

a. 1, 2, 3, 4, 5, 10, 11, 12, 13, 14, 15, 20, 21, 22, 23

b. 1, 2, 3,,4, 5, 6, 7, 8, 10, 11, 12, 13, 14, 15, 16.

The first fifteen counting numerals for number base six are 1, 2, 3, 4, 5, 10, 11, 12, 13, 14, 15, 20, 21, 22, 23.

The first fifteen counting numerals for number base nine are 1, 2, 3, 4, 5, 6, 7, 8, 10, 11, 12, 13, 14, 15, 16, 17, 18

A number base is the number of digits or combination of digits that a system of counting use to  represent numbers.

A base can be any whole number greater than 0

a) First fifteen counting numerals for base six

1) 1

2) 2

3) 3

4) 4

5) 5

6) 10

7) 11

8) 12

9) 13

10) 14

11) 15

12) 20

13) 21

14) 22

15) 23

b) First fifteen counting numerals for base 9

1) 1

2) 2

3) 3

4) 4

5 ) 5

6) 6

7) 7

8) 8

9 ) 10

10) 11

11) 12

12) 13

13) 14

14) 15

15) 16

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Step-by-step explanation:

x=4 and y= 1 because of 4+1=5 and add 2y to both sides

x-2y+2y=2+ 2y

x=2y+2

4-2=2

\(\left \{ {{x+y=5} \atop {x-2y=2}} \right.\)

Here we have 2 equations in one system.

System of Equations/Simultaneous Equations are for finding the intercepts of both graphs.

We can solve these Simultaneous Equations in many ways. However, I'll be solving by substitution.

To solve by using substitution, we need to move either x or y to the another side. I'll move x term to another side for the first equation. (We'll substitute the first equation in the second.)

\(\left \{ {{y=-x+5} \atop {x-2y=2}} \right.\)

Now we substitute y = -x+5 in x-2y = 2

\(x-2(-x+5)=2\\\)

Then distribute -2 in (-x+5) | Note that multiplying the negative will get positive. |

\(x-2(-x+5)=2\\x+2x-10=2\\3x=2+10\\3x=12\)

We should get this. When we get this, we move 3 to divide 12 (Opposite when moving to another side so from plus to minus and from multiply to divide.)

\(x=4\)

But we are not done yet. We have to find the y-value. After all they are two variables equations.

If we want to find the y-value then we have to substitute x = 4 in any given equations. I'd suggest to substitute in the equation that doesn't have a coefficient with high value.

So I'll be substituting in x + y = 5 instead.

Substitute x = 4 in x + y = 5

\(4+y=5\\y=5-4\\y=1\)

Thus, we get both x and y value. Answer in either coordinate point or writing form.

Therefore, the answer is

x = 4 when y = 1 or (4,1)

Both works. Hope this helps.

Answer:

-1 <x< 1

Explanation:

Add -3 to both sides

Divide all parts by 4

1099.56m² is the surface area of a cylinder that has a radius of 7 m and a height of 18 m.

Answer:

arithmetic sequence formula: first term + (n - 1)common difference

9 + (n - 1)-2

9 + -2n + 2

= -2n + 11

Answer:

B. |-6| < |-8|

Step-by-step explanation:

I used a calculator, pls let me know if im incorrect

Answer: $3.50

Step-by-step explanation:

Divide $10.50 by 3 to get the hourly rate