The price of a toy is increased by 20%. The resulting price is later decreased by $40.00. If the original price of the toy is $60.00, what is the final price of the toy ?

Answers

Answer 1

Answer

Final price of the toy = $32.00

Explanation

The price of a toy is increased by 20%

The resulting price is then decreased by $40.00

Original Price = $60.00

The price of a toy is increased by 20%

Resulting price after this increase = 1.2 (60) = $72

The resulting price is then decreased by $40.00

Final Price = 72 - 40 = $32.00

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Related Questions

a line segment has the endpoint T(2,4) and the midpoint of (3,6.5). find the coordinates of the other point B.

Answers

a line segment has the endpoint T(2,4) and the midpoint of (3,6.5). find the coordinates of the other point B.

we know that

The formula to calculate the midpoint between two points is equal to

[tex]M(\frac{x1+x2}{2},\frac{y1+y2}{2})[/tex]

In this problem we have

M=(3,6.5)

(x1,y1)=T(2,4)

(x2,y2)=B

substitute the given values in the formula above

[tex](3,6.5)=(\frac{2+x2}{2},\frac{4+y2}{2})[/tex]

Find the value of x2 coordinate

3=(2+x2)/2

x2+2=6

x2=6-2=4

Find the value of y2 coordinate

6.5=(4+y2)/2

y2+4=13

y2=13-4=9

therefore

the coordinates of point B(4,9)

Another photo is 20 inches long. How much wood is4needed for the frame? SHOW your WORK.

Answers

Given :

width of frame = 10.5 inches

length of frame = 20.75 inches

The amount of wood that she'll need for each photograph can be determined using the perimeter of the rectangular frame:

Perimeter(P) of rectangular frame:

[tex]\begin{gathered} P\text{ = 2l + 2w} \\ =\text{ 2 }\times\text{ 20.75 + 2}\times\text{ 10.5} \\ =\text{ 62.5 inches} \end{gathered}[/tex]

Amount of wood needed in perimeter = 62.5 inches

One side of a triangles two centimeters shorter than the base. The other side is four centimeters longer than the base. What lengths of the base will allow the perimeter to be greater than 29 cm?

Answers

Answer:

x > 9 cm

Explanation:

Let the length of the base = x cm

One side of a triangle is 2 cm shorter than the base.

Length = (x-2)cm

The other side is 4 cm than the base, therefore:

Length of the other side = (x+4)cm

Perimeter = x+(x-2)+(x+4)

If the perimeter is greater than 29, then:

x+(x-2)+(x+4)>29

3x-2+4>29

3x+2>29

3x>29-2

3x>27

x>27/3

x>9

The length of the base greater than 9cm will allow the perimeter to be more than 29 cm.

Which equation best represents the volume,V, of this cylinder in terms of π

Answers

Answer:

[tex]V=18.75\pi[/tex]

Step-by-step explanation:

The volume of a cylinder is represented by the following expression:

[tex]V=h\cdot\pi\cdot r^2[/tex]

Then, in this case for a radius of 2.5 and height of 3:

[tex]\begin{gathered} V=3\cdot\pi\cdot2.5^2 \\ V=6.25\cdot3\cdot\pi \\ V=18.75\pi \end{gathered}[/tex]

the table shows how many gummies a candy-maker can make in a certain number of hours
15 =1,500
25= 2,500
50= 5,000
what is the constant of proportionality? show your equation, work, and correct lables.

Answers

The constant of proportionality will be 100.

What is Proportional?

Any relationship that is always in the same ratio and quantity which vary directly with each other is called the proportional.

Given that;

The table shows how many gummies a candy-maker can make in a certain number of hours;

15 =1,500

25= 2,500

50= 5,000

Now,

We know that;

Th expression is,

⇒ y = kx

Where, K is constant of proportionality.

Here, By the first condition;

k = 1500/15

k = 100

By the second condition;

k = 2500/25

k = 100

By the third condition,

k = 5000/50

k = 100

Thus, The constant of proportionality will be 100.

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PLEASEEEE HELPPP!!!!!PLEASEEEEEEEEEEEEE!!!!!!!!Assessment practice!!!!it's URGENT HELP is much appreciated find the vertex of each equation. Then use a table to graph each quadratic equation

Answers

Remember that the x-coordinate of the vertex of a quadratic function is -b/2a. In this case is:

[tex]x=-\frac{4}{2\cdot1}=-2[/tex]

the y coordinate is

[tex]y=4+4\cdot-2-6=4-8-6=-10[/tex]

Paula started reading a book and read 1/12 of the book on the first day. The next day, she read 1/3 of the book. How much does she still need to read the book?

Answers

ANSWER

7/12

EXPLANATION

We have that Paula first read 1/12 of her book. Then she read, 1/3 of the book.

First, we have to find how much of the book she has read.

We do that by adding the amounts she has read.

That is:

[tex]\begin{gathered} \frac{1}{12}+\frac{1}{3} \\ \frac{1+(4\cdot1)}{12}=\frac{1+4}{12} \\ =\frac{5}{12} \end{gathered}[/tex]

Now, to find how much she still has to read, we have to subtract the fraction she has read from 1.

That is:

[tex]\begin{gathered} 1-\frac{5}{12} \\ \Rightarrow\text{ }\frac{12}{12}-\frac{5}{12} \\ =\frac{7}{12} \end{gathered}[/tex]

Therefore, she still has to read 7/12 of the book.

John compares the graph of two functions.• The first function was y=3x +4.• The second function fits the values in the table below.22What is the distance between the y-intercepts of the two functions?O A. 5 unitsO B. 6 unitsO C. 4 unitsOD. 3 units

Answers

the y-intercept of a parabola is the y coordinate of the point where does the graph intersect the y-axis.

so from the figure, we can see that the parabola is intersecting the y-axis at (0, -6)

and it is intersecting the x-axis at (3,0)

thus. y-intercept is (0, -6) and x-intercept is (3,0)

that is option D

For a certain company, the cost function for producing x items is C(x)=40x+150 and the revenue function for selling x items is R(x)=−0.5(x−110)^2+6,050. The maximum capacity of the company is 150 items.Assuming that the company sells all that it produces, what is the profit function?P(x)=What is the domain of P(x)?The company can choose to produce either 70 or 80 items. What is their profit for each case, and which level of production should they choose?

Answers

To solve this question, follow the steps below.

Step 01: Find the profit function P(x).

Given

C(x) = cost of producing x units

R(x) = revenue when producing x units

Then, P(x) is = R(x) - C(x).

Substituting the equations in the formula:

[tex]P(x)=0.5*(x-110)^2+6050-(40x+150)[/tex]

Solve the equation, by solving first the quadratic part.

[tex]\begin{gathered} P(x)=-0.5*(x^2-2*110*x+110^2)+6050-40x-150 \\ P(x)=-0.5x^2+110x-6050+6050-40x-150 \\ P(x)=-0.5x^2+110x-40x-150 \end{gathered}[/tex]

Then, sum the like-terms.

[tex]P(x)=-0.5x^2+70x-150[/tex]

Step 02: Find the domain.

Since the maximum capacity of the company is 150 items. So, x-maximum is 150.

The minimum number of products is 0.

Then, 0 ≤ x ≤ 150.

Domain: 0 ≤ x ≤ 150 or [0, 150].

Step 03: Compare the profit for x = 70 and x = 80.

[tex]\begin{gathered} P(x)=-0.5x^{2}+70x-150 \\ P(70)=-0.5*70^2+70*70-150 \\ P(70)=-2450+4900-150 \\ P(70)=2300 \end{gathered}[/tex][tex]\begin{gathered} P(x)=-0.5x^{2}+70x-150 \\ P(80)=-0.5*80^2+70*80-150 \\ P(80)=2250 \end{gathered}[/tex]

Comparing both profits, the profit for x = 70 is greater. So, they should choose x = 70.

In summary:

(a) Profit equation:

[tex]P(x)=-0.5x^{2}+70x-150[/tex]

(b )Domain:

0 ≤ x ≤ 150 or [0, 150].

(c) Comparing x = 70 and x = 80.

Comparing both, the company should choose x = 70, because the profit is greater.

Hi I need the answer to the question quickly if possible please

Answers

The log function can be graphed using the vertical asymptote at x = 1 and the points (2,0), (5,1) & (3,0.5).

Given graph is [tex]g(x) = log_{4}(x-1)[/tex]

We have to find the asymptotes.

Set the argument of the logarithm equal to zero.

x - 1 = 0

Now add 1 to both the sides of the equation.

x - 1 + 1 = 0 + 1

= x = 1

The vertical asymptote occurs at x = 1

So, vertical asymptote: x = 1

Now, find the point at x = 2

Replace the variable x with 2 in the expression.

[tex]f(2) = log_{4}((2) - 1)[/tex]

Simplify the result

Subtract 1 from 2

[tex]f(2) = log_{4}(1)[/tex]

Logarithm base 4 of 1 is 0

f(2) = 0

The final answer is 0.

y = 0

Now find the point at x = 5

Replace the variable x with 5 in the expression.

[tex]f(2) = log_{4}((5) - 1)[/tex]

[tex]f(2) = log_{4}(4)[/tex]

Logarithm base 4 of 4 is 1

so, f(5) = 1

y = 1

Now find the point at x = 3

Replace the variable x with 3 in the expression.

[tex]f(2) = log_{4}((3) - 1)[/tex]

[tex]f(2) = log_{4}(2)[/tex]

Logarithm base 4 of 2 is [tex]\frac{1}{2}[/tex].

Rewrite as an equation.

[tex]log_{4}((2) = x[/tex]

Rewrite [tex]log_{4}((2) = x[/tex] in exponential form using definition of a logarithm. If x and b are positive real numbers and b does not equal 1, then [tex]log_{b}((x) = y[/tex] is equivalent to [tex]b^{y} = x.[/tex]

[tex]4^{x} = 2[/tex]

Create expressions in the equation that all have equal bases.

[tex](2^{2})^{x} = 2^{1}[/tex]

Rewrite [tex](2^{2})^{x} as 2^{2x}[/tex]

[tex]2^{2x} = 2^{1}[/tex]

Since the bases are the same, then two expressions are only equal if the exponents are also equal.

2x = 1

solve for x

[tex]x = \frac{1}{2}[/tex]

The variable x is equal to [tex]\frac{1}{2}[/tex]

[tex]f(3) = \frac{1}{2}[/tex]

The final answer is [tex]\frac{1}{2}[/tex]

So, y = 0.5

The log function can be graphed using the vertical asymptote at x = 1 and the points (2,0), (5,1) & (3,0.5).

x    y

2    0

3    0.5

5    1

Hence the answer is the log function can be graphed using the vertical asymptote at x = 1 and the points (2,0), (5,1) & (3,0.5).

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Jake drives Go-Karts at an average speed of 2.75 laps per minute. If the relationship between the number of laps completed and numberof minutes varies directly, how long would it take him to complete 41.25 laps?O A. 0.07 minutesOB. 15 minutesO C. 38.5 minutesO D. 113 minutes

Answers

Since the number of minutes and number of laps completed varies directly, therefore if 2.75 laps correspond to 1 min then:

[tex]\frac{2.75\text{laps}}{1\min}=\frac{41.25\text{laps}}{x\min }\text{.}[/tex]

Solving for x we get:

[tex]x\min =\frac{41.25}{2.75}1\min =15\min \text{.}[/tex]

Answer: Option B.

8. Ms. Crockett is trying to teach her nephew to play baseball. Below is a rough sketch of Brandon pitching a baseball. You can model his throw with the quadratic h(t) = -16t^2 +29t + 6 where t is the seconds since the ball left Brandon's hand and h(t) is the height of the ball in feet.

Answers

a) b) We have to start by labeling the graph.

This graph relates the height in the vertical axis with the distance in the horizontal axis. The equation that relates y and x is different from h(t), as we are not representing time in the horizontal axis.

Then, both the height and the distance will have units of feet:

The highest point will be at the point where the height stop increasing and start decreasing.

c) We can use the equation fo h(t) to find the value of t when h(t) = 0, that is , when the ball touches the ground.

As h(t) is a quadratic equation, finding t for h(t) = 0 is finding the roots of the quadratic equation:

[tex]\begin{gathered} h(t)=-16t^2+29t+6 \\ t=\frac{-29\pm\sqrt[]{29^2-4\cdot(-16)\cdot6}}{2\cdot(-16)} \\ t=\frac{-29\pm\sqrt[]{841+384}}{-32} \\ t=\frac{-29\pm\sqrt[]{1225}}{-32} \\ t=\frac{29\pm35}{32} \\ t_1=\frac{29-35}{32}=-\frac{6}{32}=-0.1875 \\ t_2=\frac{29+35}{32}=\frac{64}{32}=2 \end{gathered}[/tex]

As the first root is a negative number, it does not make sense in this case. The solution then is the other root, that has a value of t=2. As t is in seconds, we know that the ball reaches the ground 2 seconds after the launch.

Answer:

a) The labels and units are Height (in feet) for the vertical axis and Distance (in feet) for the horizontal axis.

b) The highest point corresponds to the point where the height stops increasing and starts decreasing.

c) The ball touches the ground 2 seconds after the launch.

what is the area of the triangle formed from (0,-1) (0,4) and (4,-1)

Answers

The area of the triangle is 10 square units formed from (0,-1), (0,4), and (4,-1).

What is the Area of a Triangle?

A triangle is a closed shape composed of three angles, three sides, and three vertices.

The triangle is formed from (0,-1), (0,4), and (4,-1) which are given in the question.

As per the attached graph,

The length of the base of the triangle = 4 units

The length of the height of the triangle = 5 units

The area of the triangle = 1/2 × 4 × 5

The area of the triangle = 10 square units

Therefore, the area of the triangle is 10 square units formed from (0,-1), (0,4), and (4,-1).

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you start on the unit circle at 0 negative one and move 300 degrees counterclockwise which angle in degrees will you end up on the unit circle Answer Choices:30330210120

Answers

By definition, it is important to remember that a circle has 360 degrees.

According to the information given in the exercise, you start at this point on the unit circle:

[tex](0,-1)[/tex]

Observe the following picture:

By definition, from the point (0,-1) to the point (1,0) there are 90 degrees.

Therefore, if you move 300 degrees counterclockwise from the point (0,-1), you can subtract 90 degrees from the 300 degrees in order to calculate which angle in degrees will you end up on the unit circle:

[tex]300\degree-90\degree=210\degree[/tex]

Therefore, you will end up with 210 degrees.

The answer is: Third option.

a shipping tube is shaped like a triangular prism the bases are equilateral triangles with edges of 5 in and a height of 4.3 in the tube is 14in long find the total surface area of the shipping tube

Answers

The figure is a triangular prism and the formular for total surface area of a triangular prism is represented below

[tex]\begin{gathered} \text{surface area = }bh+2ls+lb \\ \text{surface area=}(5\times4.3)+2(14\times5)+(14\times5) \\ \text{surface area=}21.5+140+70 \\ \text{surface area=}231.5in^2 \end{gathered}[/tex]

Bentley and Arianys are reading the same book. At the beginning of the month, Bentley was on page 39 and Arianys was on page 19. Bentley will read 16 pages per day and Arianys will read 18 pages per day. Let BB represent the page of the book that Bentley is on at the end of tt days into the month, and let AA represent the page of the book that Arianys is on at the end of tt days into the month. Write an equation for each situation, in terms of t,t, and determine whether Bentley or Arianys is farther along in the book after 15 days.

Answers

a) An equation representing the number of pages of the book that Bentley is on at the end of t days is A = 39 + 16t.

b) An equation representing the number of pages of the book that Arianys is on at the end of t days is B = 19 + 18t.

c) Arianys is farther along in the book after 15 days than Bentley because Arianys is on page 289 of the book while Bentley lags on page 279.

What is an equation?

An equation is a statement showing the equality of two or more mathematical expressions.

Equations are depicted using the equation symbol (=).

The pages of the book already covered by Bentley at the beginning of the month = 39

The pages of the book already covered by Arianys at the beginning of the month = 19

Bentley's reading speed per day = 16 pages

Arianys' reading speed per day = 18 pages

The page already read by Bentley = A

The page already read by Arianys = B

Equations:

For the pages already read by Bentley, A = 39 + 16t

For the pages already read by Arinys, B = 19 + 18t

After 15 days, who has read more?

Bentley, A = 39 + 16t = 39 + 16(15) = 279 pages

Arianys, B = 19 + 18t = 19 + 18(15) = 289 pages

Thus, using equations, we can conclude that Arianys can conclude the book faster than Bentley if it takes up to 15 days in the month to complete the book.

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find the x-intercept and the y-intercept of the graph of the equation 6X + 4y equals 72

Answers

the given equation is

6x + 4y = 72

divide the equation by 2

3x + 2y = 36

3x + 2y - 36 = 0

compare with ax+by +c = 0

a = 3

b = 2

c = -36

x-intercept will be, -c/a = -(-36)/3 = 12

y intercept will be c/b = -36/2 = -18

Plot three points for the line and graph the line. X-3y=6

Answers

x-3y = 6

Pick 3 points

Let x = 0

0 -3y = 6

Divide by -3

-3y/-3 = 6/-3

y = -2

(0,-2)

Let y =0

x - 3(0)=6

x = 6

(6,0)

Let x=3

3 - 3y = 6

Subtract 3 from each side

3-3y-3 = 6-3

-3y = 3

Divide by -3

-3y/-3 = 3/-3

y = -1

(3,-1)

Write an equation of a line that passes through the given point and has the given slopethe correct blanks for the value of mand b.2.(-1, 4), slope - 1

Answers

The equation of a line in the slope intercept form is expressed as

y = mx + c

Where

m represents slope

c represents y intercept

We would find c by substituting x = - 1, y = 4 and m = - 1 into the slope intercept equation. It becomes

4 = - 1 * - 1 + c

4 = 2 + c

c = 4 - 2 = 2

The equation would be

y = - x + 2

The solid shape is made from a hemisphere and a cone.
The radius of the hemisphere is equal to the radius of the base of the cone.

The cone has a height of 10 cm.
The volume of the cone is 270π cm3.

Work out the total volume of the solid shape in cm³
.
Give your answer in terms ofπ .

Answers

The volume of the solid shape is 756 cm³ .

What is the volume of the solid shape?

The volume of the solid shape is the sum of the volume of the hemisphere and the cone.

Volume of the solid shape = volume of the hemisphere + volume of the cone

Volume of the cone = 1/3πr²h

270π = 1/3πr² x 10

r² = (270π  x 3) / 10π

r² = 81

r = √81

r = 9

Volume of a hemisphere = (2/3) × r³ × π

Volume of a hemisphere = 2/3 x 9³ × π

Volume of a hemisphere = 486π cm³

Volume of the solid shape =  486π cm³ + 270π cm³  = 756 cm³

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What is mZS? Q 108° P R S m2S = O

Answers

First, we find arc RSP

[tex]\begin{gathered} 108=\frac{1}{2}\cdot RSP \\ \text{RSP}=2\cdot108=216 \end{gathered}[/tex]

Arc RSP measures 216°.

Then,

[tex]\begin{gathered} 216+RQP=360 \\ \text{RQP}=360-216=144 \end{gathered}[/tex]

Now, we find angle S

[tex]m\angle S=\frac{1}{2}\cdot144=72[/tex]Hence, angle S measures 72°.

During 5/8 of the 72 physical education classes, Ethan played games involving running. During how many of this years physical education classes did Ethan have to run?

Answers

Ethan has to run in 45 classes

Here, we want to get the number of games that involved running

Mathematically, what we have to do here is to calculate the number in the fraction

We have this as;

[tex]\frac{5}{8}\text{ of 72 = }\frac{5}{8}\times\text{ 72 = 45}[/tex]

Solve the equation 2-(y+9)<-3

Answers

Step 1:

Write the equation

[tex]\begin{gathered} 2\text{ - (y + 9) < -3} \\ 2\text{ - y - 9 < - 3} \\ -y\text{ < - 3 - 2 + 9} \\ \text{ - y < 4} \\ y\text{ > -4} \end{gathered}[/tex]

Final answer

y > -4

In set-builder notations the solution set is

{y | y > -4}

In interval notation, the solution set is

[tex]\lbrack-3,\text{ }\infty)[/tex]

find the mean, median and mode of the following distribution:3, 5, 3, 4, 6, 8, 7, 9, 15

Answers

Given:

[tex]3,5,3,4,6,8,7,9,15[/tex][tex]\begin{gathered} \text{Mean}=\frac{3+5+3+4+6+8+7+9+15}{9} \\ \text{Mean}=\frac{60}{9} \\ \text{Mean}=6.6667 \end{gathered}[/tex]

Ascending order : 3,3,4,5,6,7,8,9,15

Median : 5th term is the median

[tex]\text{Median}=6[/tex][tex]\text{Mode}=3[/tex]

For the first week of July, Sam Martinez worked 55 hours. Sam earns$8.60 an hour. His employer pays overtime for all hours worked in excess of 40 hours per week and pays
1.5 times the hourly rate for overtime hours. Calculate the following for the first week of July (round your responses to the nearest cent if necessary):

1) Regular Pay Amount;
2)Overtime Pay
3)Gross Pay

Answers

The regular pay amount for the first week of July is $344

The overtime pay amount for the first week of July is $193.50

The gross pay amount for the first week of July is $537.50

How to find the earnings of sam?

Total hours Sam worked = 55 hoursTotal regular hours = 40 hours

Overtime hours = Total hours Sam worked - Total regular hours

= 55 - 40

= 15 hours

Amount Sam earn per hour for regular hours = $8.60

Total regular pay amount = Total regular hours × Amount Sam earn per hour for regular hours

= 40 × $8.60

= $344

Amount Sam earn per hour for overtime hours = $8.60 × 1.5

= $12.90 per overtime hour

Total overtime pay amount = Overtime hours × Amount Sam earn per hour for overtime

= 15 × $12.90

= $193.50

Total gross pay = Total regular pay amount + Total overtime pay amount

= $344 + $193.50

= $537.50

In conclusion, the regular, overtime and gross pay of Sam for the first week of July is $344, $193.50 and $537.50 respectively.

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Cuál es el MCD de 42 y 30 ?. Opción única. (3 puntos) 5 6 7 15

Answers

Greatest Common Factor:

The greatest common factor, or GCF, is the greatest factor that divides two numbers.

Given Numbers : 42 & 30

Factors of 42 : 7x3x2x1, 7x6x1,

Factors of 30=5x3x2x1, 5x6,1

Here the common factors of 42 & 30 are : 6,3, 2, 1

The greatest number in 6, 3, 2, 1 is 6

So, the greatest common factor is 6

The greatest common factor of 42 & 30 is 6

Answer: B) 6

You are comparing two savings accounts based on the interest you would earn and the fees they charge. Assuming you have a savings account with an average balance of $500, which combination of interest rates and fees are a better deal? (Hint: Using a one year period, determine the balance that you would have at Bank A and Bank B). O Bank A offers you a savings account with a 10% annual interest rate and $5/month in fees O Bank B offers you a savings account with 2% annual interest rate and no fees O The two banks deals are equivalent O Trick question -- it's a bad idea to open a savings account with just $500​

Answers

Bank B gives the better deal to open the savings account rather than Bank A.

Given that:-

Average balance of savings account = $ 500

Annual interest rate of Bank A = 10 %

Fees of Bank A = $ 5/month

Annual interest rate of Bank  = 2 %

We have to find which bank gives the better deal.

In Bank A, after one year the amount of money in my bank account will be:-

500 + 10 % of 500 - 5*12 = 500 + 50 - 60 = 500 - 10 = $ 490.

In Bank B, after one year the amount of money in my bank account will be:-

500 + 2 % of 500 = 500 + 10 = $ 510.

Hence,

Bank B gives the better deal to open the savings account rather than Bank A.

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A surveying crew has two points A and B marked along a roadside at a distance of 400 yd. A third point C ismarked at the back corner of a property along a perpendicular to the road at B. A straight path joining C to A forms a 28° angle with the road. Find the distance from the road to point C at the back of the property andthe distance from A to C using sine, cosine, and/or tangent. Round your answer to three decimal places.

Answers

In order to calculate the distance from B to C, we can use the tangent relation of the angle 28°.

The tangent is equal to the length of the opposite leg to the angle over the length of the adjacent leg to the angle.

So we have:

[tex]\begin{gathered} \tan(28°)=\frac{BC}{AB}\\ \\ 0.5317094=\frac{BC}{400}\\ \\ BC=0.5317094\cdot400\\ \\ BC=212.684 \end{gathered}[/tex]

Now, to calculate the distance from A to C, we can use the cosine relation.

The cosine is equal to the length of the adjacent leg to the angle over the length of the hypotenuse.

So we have:

[tex]\begin{gathered} \cos(28°)=\frac{AB}{AC}\\ \\ 0.8829476=\frac{400}{AC}\\ \\ AC=\frac{400}{0.8829476}\\ \\ AC=453.028 \end{gathered}[/tex]

Which of the following is an example of independent events? A. Drawing a king from a standard deck of cards and then drawing an 8 without replacing the kingB. Four people are drawn successively without replacement from a group of 30 to represent the groupC. Spinning a 3 on a spinner and getting a head from a coin tossD. Selecting a head from a bag of 9 different colored breads and then selecting a second bead without putting the first back

Answers

Two events are independent if the fact that one takes palce does not affect the probability of the other. This means that spinning a spinner and tossing a coin are indepent events since the probabilities do not affect each other.

Options for the first box: 6,500, 10,500, 11,500, 14,000Options for the second box are: 11,500, 18,500, 14,000, 10,500

Answers

Answer:

Explanation:

Given the equation:

y = -2500x + 19,000

For cars between 2 and 3 years,

The minimum is 2 and the maximum is 3 years

For the minimum, we have x = 2

So,

y = -2500(2) + 19000

= 14000

For maximum, we have x = 3

so,

y = -2500(3) + 19000

=

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