Trapezoid ABCD is rotated 180 degrees about the origin and then reflected over the x-axis, followed by a reflection over the y-axis. What is the location of point A after the transformations are complete?
Answers
Answer:
the location of point A after the transformations are complete is (-5, 1)
Step-by-step explanation:
Given the coordinate of the trapezoid at A(-5, 1), B(-4, 3), C(-1, 3) and D(-2, 1).
The location of point A is at (-5, 1) which is the second quadrant, when it is rotated 180 degrees about the origin, the point moves to the fourth quadrant and the new point is at (5, -1). If it is then reflected over the x axis, the x coordinate remain the same and the sign of the y coordinate changes making the new point (5, 1). If it is then reflected over the y axis, the y coordinate remain the same and the sign of the x coordinate changes making the new point (-5, 1).
the location of point A after the transformations are complete is (-5, 1)
Answer:
the location of point A after the transformations are complete is (-5, 1)
Step-by-step explanation:
Related Questions
A town library is considering loaning video games, and surveyed its membership to ask their 4 favorite PlayStation 3 Games from among the following six: Gran Turismo, Call of Duty 4, Metal Gear Solid 4, Little Big Planet, Grand Theft Auto 5, & Final Fantasy 13. How many different possible sets of four favorites are there?
According to the textbook, the answer should be 15, but I'm a bit lost. What are the steps I need to take or the formula I need to use in order to get this answer?
Answers
Answer:
15 setsStep-by-step explanation:
You need to find the combinations of 4 out of possible 6.
Use formula:
\(_nC_r=n!/r!(n-r)!\)where
\(_nC_r\) = number of combinations n = total number of objects in the set r = number of choosing objects from the setn! = 1*2*3*...*n (in case you don't know the factorials)In our case n = 6, r = 4, substitute these into equation:
\(_6C_4=6!/4!2! = 5*6*4!/4!*2 = 30/2 =15\)Slices of cake were sold at a bake sale.
In total, Archie sold 33 cakes and Pam sold
7³ cakes.
How many more cakes than Archie did Pam
sell?
Give your answer as a mixed number in its
simplest form.
Answers
The point that is equally spaced from a triangle's three vertices is known as the circumcenter.Triangle ABC's equilateral circumcenter is (-5, 2) .
What is the circumcenter?The point that is equally spaced from a triangle's three vertices is known as the circumcenter.
The triangle's three vertices are all located at the center of the circle.We may insert the coordinate values for the triangle ABC's vertices A(-5,3), B(5,8), and C(-5.8) into the formulas above to determine its circumcenter.
x = (8 - 3) * (-5.8^2 + 3^2 - 5^2 - 8^2)
- (3 - 8) * (-5^2 + 3^
2 - (-5) (-5)
^2 -3^2) / 2 * (3 - (-5))
* (8 - 3) - (3 - 8) * (-5.8 - (-5))
x = (-5) (-5)
y = (3 - (-5.8))
* (-5^2 + 3^2 - (-5)^2 -3^2)
- (-5 - (-5))
* (3^2 + 3^2 - (-5.8) (-5.8)
^2 - 8^2)
/ 2 * (3 - 8) (3 - 8)
* (-5 - (-5))
- (3 - 8) * (3 - (-5.8))
y = 2
The circumcenter of triangle ABC is hence (-5, 2)
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At the music store Katelyn bought 2 packs of
guitar strings and a music book. The book cost
$18.00. Her total purchase was $46.00. How
much is one pack of strings?
Answers
find the exact area of the surface obtained by rotating the curve about the x-axis. x = 3 5y2, 1 ≤ y ≤ 2
Answers
The exact area of the surface obtained by rotating the curve x=3+5y^2 about the x-axis is approximately 37.78 square units.
To find the exact area of the surface obtained by rotating the curve x=3+5y^2 about the x-axis, we will use the formula for finding the surface area of a solid of revolution.The formula for finding the surface area of a solid of revolution is given by:S=2π∫abf(x)√(1+(f'(x))^2)dx
where f(x) is the function representing the curve to be rotated, a and b are the limits of integration, f'(x) is the derivative of the function f(x).In our case, the curve x=3+5y^2 needs to be rotated about the x-axis. To do this, we need to express the function y as a function of x.
x=3+5y^2
y=±√(x-3)/5
We take the positive square root since we are only considering the curve in the range 1≤y≤2.
So, we have:
f(x)=√(x-3)/5
f'(x)=1/(10√(x-3))We can now substitute these values into the formula for surface area:
S=2π∫1^2(√(x-3)/5)√(1+(1/(10√(x-3)))^2)dxSimplifying this integral is a bit difficult, so we will use a computer algebra system or an online integral calculator to evaluate the integral.
After evaluating the integral, we get the exact surface area of the solid of revolution to be approximately 37.78 square units.Therefore, the exact area of the surface obtained by rotating the curve x=3+5y^2 about the x-axis is approximately 37.78 square units.
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a smart phone reseller receives a shipment of 250 smart phones of a new model at a retail store. the exponetial function n(t)
Answers
The exponential function n(t) represents the number of smart phones remaining in the retail store after time t. To determine the function, we need to know the initial number of smart phones, the growth or decay rate, and the time interval.
In this case, the reseller receives a shipment of 250 smart phones, so the initial number of smart phones is 250. Let's assume that the decay rate is 10% per month. The exponential decay function can be represented as: n(t) = initial amount * (1 - decay rate)^t Substituting the values, we get: \(n(t) = 250 * (1 - 0.10)^t\)
To find the number of smart phones after a certain time, t, you can substitute the value of t into the equation. For example, if you want to find the number of smart phones after 3 months, substitute t = 3:
\(n(3) = 250 * (1 - 0.10)^3\) Simplifying this expression gives us the answer.
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This means that after 3 days, there would be approximately 10.82 smart phones remaining in the store using exponential function.
The exponential function n(t) can be used to model the number of smart phones remaining in the store over time. In this case, t represents time and n(t) represents the number of smart phones.
To solve this problem, we need to know the initial number of smart phones and the rate at which they are being sold. From the question, we know that the store received a shipment of 250 smart phones. This initial value can be represented as n(0) = 250.
Now, let's assume that the smart phones are being sold at a constant rate of 10 phones per day. This rate can be represented as a negative value since the number of phones is decreasing over time.
Therefore, the exponential function n(t) can be written as n(t) = \(250 * e^{(-10t)}\), where e is the base of the natural logarithm and t is the time in days.
For example, if we want to find the number of smart phones remaining after 3 days, we substitute t = 3 into the equation:
n(3) = \(250 * e^{(-10 * 3)}\)
= \(250 * e^{(-30)}\)
≈ 10.82 phones (rounded to two decimal places)
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-3(4x + 9) = 15
( Multi-step Equations)
please help:)<3
Answers
Answer:
Step-by-step explanation:
-3(4x + 9) = 15
-12x-27=15
-12x=42
x= -7/2
Answer:
x = -7/2
Step-by-step explanation:
-3(4x + 9) = 15
Divide 3 on both sides
-3(4x + 9) /3 = 15 /3
Which makes
4x+9=-5
Subtract 9 on both sides
4x+9 -9 = -5 -9
Which makes
4x=-14
So we divide 4
4x /4 = -14 /4
And we get......
x = -7/2
I hope it's right!
Find the sum of the first 30 terms of the following series, to the nearest integer.
2,8,14
Answers
The solution is 2670
The sum of the arithmetic sequence is given by S = 2670 where the first term is 2 and common difference is 6
What is Arithmetic Progression?
An arithmetic progression is a sequence of numbers in which each term is derived from the preceding term by adding or subtracting a fixed number called the common difference "d"
The general form of an Arithmetic Progression is a, a + d, a + 2d, a + 3d and so on. Thus nth term of an AP series is Tn = a + (n - 1) d, where Tₙ = nth term and a = first term. Here d = common difference = Tₙ - Tₙ₋₁
Sum of first n terms of an AP: Sₙ = ( n/2 ) [ 2a + ( n- 1 ) d ]
Given data ,
Let the sum of the arithmetic sequence be = S
Let the number of terms be n = 30
Let the series be A = 2 , 8 , 14 , ..
The first term of the arithmetic sequence a = 2
Let the common difference of the series be d = second term - first term
The common difference d = 8 - 2 = 6
Now ,
Sum of first n terms of an AP: Sₙ = ( n/2 ) [ 2a + ( n- 1 ) d ]
Substituting the values in the equation , we get
S₃₀ = ( 30/2 ) [ 2 x 2 + ( 30 - 1 ) 6 ]
S₃₀ = 15 [ 4 + 29 x 6 ]
S₃₀ = 15 [ 4 + 174 ]
S₃₀ = 15 x 178
S₃₀ = 2670
Therefore , the value of S is 2670
Hence , The sum of the arithmetic sequence is given by S = 2670
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Why is a sample used more often than a population? Choose the correct answer below. Inferences cannot be made when using the population. It is usually impossible to count the entire population. Sample statistics are more accurate than the population parameter. All samples are representative of a population, so the population does not need to be used.
Answers
Sample is used more often than a population as B. It is usually impossible to count the entire population
Why is sampling used?In many cases, it is not practical or possible to gather data from every member of a population. For example, imagine trying to survey the purchasing habits of every single adult in the United States. It would be incredibly time-consuming, costly, and difficult to reach everyone.
Instead, researchers use a sample, which is a smaller group of individuals chosen from the population. By analyzing the data from a sample, researchers can make inferences about the population as a whole.
Therefore, the correct option is B.
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Can you make a triangle with side lengths of 2 inches and 2 inches and 4 inches?
Answers
Answer: No you can not make any triangles with 2 inches, 2 inches and 4 inches. hoped this helped!
Step-by-step explanation:
1. Solve for the unknown in each triangle. Round each answer to the nearest tenth.
Answers
The values of the missing sides are;
a. x = 35. 6 degrees
b. x = 15
c. x = 22. 7 ft
d. x = 31. 7 degrees
How to determine the valuesTo determine the values, we have;
a. Using the tangent identity;
tan x = 5/7
Divide the values
tan x = 0. 7143
x = 35. 6 degrees
b. Using the Pythagorean theorem
x² = 9² + 12²
find the square
x² = 225
x = 15
c. Using the sine identity
sin 29= 11/x
cross multiply the values
x = 11/0. 4848
x = 22. 7 ft
d. sin x = 3.1/5.9
sin x = 0. 5254
x = 31. 7 degrees
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Question: A cold drink machine used at the drive-through of a take-away food outlet, is regulated so that it dispenses on average 250 milliliter per cup.
Answers
The cold drink machine at the drive-through of a take-away food outlet dispenses an average of 250 milliliters per cup.
The regulation of the cold drink machine ensures that it consistently dispenses around 250 milliliters of liquid per cup. This regulation is important for maintaining customer satisfaction and providing a standard serving size. By setting the machine to dispense a specific volume, the outlet can ensure that customers receive a consistent amount of beverage with each purchase.
This helps to create a reliable and predictable experience for customers who visit the drive-through. Whether they order a small, medium, or large size, they can expect to receive approximately 250 milliliters of their chosen drink, ensuring fairness and consistency in the portion sizes. This regulation also aids in inventory management and cost control, as it helps the outlet accurately measure and track the amount of liquid used per cup.
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5. (10 points) In general, the probability that a person is infected by covid 19 is 80% with death rate (fatality rate) is 33.7 per 1000 people. If a sample of 50 people are tested, find the probability that there are 10 people are infected by covid19.
Answers
The probability that there are 10 people are infected by covid 19 is given by 0.000000000012.
The probability of an event occurring is defined by probability. There are numerous instances in real life where we may need to make predictions about how something will turn out. The outcome of an event may be known to us or unknown to us. When this happens, we say that there is a chance that the event will happen or not. In general, probability has many amazing uses in games, in business to make forecasts based on likelihood, and in this emerging branch of artificial intelligence.
By simply dividing the favourable number of outcomes by the entire number of potential outcomes, the probability of an occurrence may be determined using the probability formula. Because the favourable number of outcomes can never exceed the total number of outcomes, the probability of an event occurring can range from 0 to 1.
Let x be people infected by Covid
Let P be probability that person is infected
P = 0.8
q = 1-p = 0.2
n = 50
P(X=10) = ⁵⁰Cₓ Pˣ qⁿ⁻ˣ
= ⁵⁰C₁₀ (0.8)¹⁰ (0.2)⁴⁰
= 50!/40!10! x (0.8)¹⁰ (0.2)⁴⁰ = 0.000000000012.
is to 0.000000000012.
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The probability that there are 10 people are infected by covid 19 is given by 0.000000000012.
The probability of an event occurring is defined by probability. There are numerous instances in real life where we may need to make predictions about how something will turn out. The outcome of an event may be known to us or unknown to us. When this happens, we say that there is a chance that the event will happen or not. In general, probability has many amazing uses in games, in business to make forecasts based on likelihood, and in this emerging branch of artificial intelligence.
By simply dividing the favourable number of outcomes by the entire number of potential outcomes, the probability of an occurrence may be determined using the probability formula. Because the favourable number of outcomes can never exceed the total number of outcomes, the probability of an event occurring can range from 0 to 1.
Let x be people infected by Covid
Let P be probability that person is infected
P = 0.8
q = 1-p = 0.2
n = 50
P(X=10) = ⁵⁰Cₓ Pˣ qⁿ⁻ˣ
= ⁵⁰C₁₀ (0.8)¹⁰ (0.2)⁴⁰
= 50!/40!10! x (0.8)¹⁰ (0.2)⁴⁰ = 0.000000000012.
is to 0.000000000012.
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Classified ads in a newspaper offered for sale 20 used cars of the same make and model. The output of a regression analysis is given. Assume all conditions for regression have been satisfied. Create a 95% confidence interval for the slope of the regression line and explain what your interval means in context. Find the 95% confldence interval for the slope. The confidence interval is (Round to two decimal places as needed.)
Answers
Confidence interval refers to a statistical measure that helps quantify the amount of uncertainty present in a sample's estimate of a population parameter.
This measure expresses the degree of confidence in the estimated interval that can be calculated from a given set of data. In this scenario, the task is to build a 95% confidence interval for the regression line's slope. The regression analysis output has already been given. According to the output given, the estimated regression model is:y = 25,000 + 9,000 x, where x represents the number of miles the car has been driven and y represents the car's selling price.
The formula to calculate the 95% confidence interval for the slope is:Slope ± t · SE, where Slope is the point estimate for the slope, t represents the critical t-value for a given level of confidence and degrees of freedom, and SE represents the standard error of the estimate. The value of t can be calculated using the degrees of freedom and a t-table. Here, the number of pairs in the sample size is 20, and the model uses two parameters.
Therefore, the degrees of freedom would be 20 - 2 = 18.The critical t-value for a 95% confidence interval and 18 degrees of freedom is 2.101. Using the formula given above, we can calculate the 95% confidence interval for the slope as follows:Slope ± t · SE= 9000 ± (2.101)(700) ≈ 9000 ± 1,467.7 = [7,532.3, 10,467.7]Therefore, the 95% confidence interval for the slope is [7,532.3, 10,467.7]. This means that we are 95% confident that the true value of the slope for this model falls within the interval [7,532.3, 10,467.7].
It implies that the price of the car increases by $7,532.3 to $10,467.7 for each mile driven by the car. In conclusion, a 95% confidence interval has been calculated for the regression line's slope, which indicates that the actual slope of the model lies between the range [7,532.3, 10,467.7].
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A traffic engineer states that the mean improvement is between 582.5 and 727.5 vehicles per hour. With what level of confidence can this statement be made
Answers
The confidence level with which this statement can be made is this: 90%
How to determine the confidence levelTo determine the confidence level for the given measurements, we will first determine the z-score with the formula: z = (x − μ)/ σ
First;
z * 311./√50
= 727.5 - 582.5 /2
= 72.5
z score = 72.5 *√50/ 311.7
= 1.6447
But, Z ≤ 1.6447 = 0.95, and,
Z > 1.6447 = 0.05
α/2 = 0.05
So, 1 - α = 0.09 or 90%.
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5 Write the equation of a line that is parallel to y =-5/4x + 7 and that passes through the point (-4,1).
Answers
The equation of the line is given as y = mx + b in slope-intercept form, where m is the slope and b is the y-intercept.
Therefore;
\(\begin{gathered} y=mx+b \\ \text{When x=-4 and y=1, the parallel equation is;} \\ 1=-\frac{5}{4}(-4)+b \\ 1=\frac{20}{4}+b \\ 1=5+b \\ 1-5=b \\ b=4 \end{gathered}\)Having determined the y-intercept as 4 for the coordinates (-4, 1), and having in mind that lines that are parallel have the same slope, then;
\(\begin{gathered} y=mx+b \\ y=-\frac{5}{4}x+4 \end{gathered}\)The equation of the parallel line that passes through the point (-4, 1) is derived as y = -5/4x + 4
A vendor has 80 more red balloons
than yellow balloons. He has
20 yellow balloons. How many red
balloons does he have?
Answers
Hope this helps :)
it takes 3 min 25 to fill a 75 l gas tank. how long to the nearest minute will it take to fill a 55 gas tank
Answers
Answer:
1 min .234 sec
Step-by-step explanation:
3 min 25 sec to fill 75 litre gas tanks
how many min will fill 55 lite gas
lets convert 3 min 25 sec to seconds
3 min = 3 × 60 sec
60 + 25 = 85 sec
85 sec = 75
x sec = 55
cross multiply
75x = 85 × 55
75x = 4675
x = 4675/75
x = 62.33333333 sec
convert (62.3333333) sec to min
62.34 ÷ 60 = 1 min 2.34 sec
Help me with this question please
Answers
The slope of the equation is six meaning you go up six and over 1 to find the next point.
What is the domain of the sine and cosine functions?
Answers
Answer:
domain of the sine and cosine functions is all real numbers
Step-by-step explanation:
range of both the sine and cosine functions is [−1,1]
graph can go left and right to infinity
graph goes up and down between 1 and -1
graph looks like a wave or
like U letters next to each other
UUUU
sine and cosine of an angle have the same absolute value as the sine and cosine of its reference angle.
mathlibretextsorg
A watermelon is shot out of an air cannon and travels 22 yards. How many feet does the watermelon travel?Which conversion factor could you use to answer the question?A. 1 yard/3 feetB. 1 foot/3 yardsC. 3 yards/1 footD. 3 foot/1 yard
Answers
the factor is the division between feet and yards
so
\(\frac{3\text{feet}}{1\text{yard}}\)so, the option is C
Members of a softball team raised $2089.50 to go to a tournament. They rented a bus for $1087.50 and budgeted $41.75 per player for meals. Write and solve an equation which can be used to determine x, the number of players the team can bring to the tournament.
Answers
The number of players the team can bring to the tournament would be = 24 players
What is softball game?The softball game is the type of game that involves two teams which is made up of 9. - 10 players.
The total amount of money raised by a softball team=
$2089.50
The amount of money spent on rented bus = $1087.50
The amount left after rent deductions= 2,089.50 - 1,087.50 = 1,002
The amount budgeted for meals for each player= $41.75
The number of players that would be brought for tournament= 1,002/41.75
= 24 players.
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Is the following statement true or false? Explain your reasoning. 3 + 2 = 6 or 9 – 2 = 7
Answers
Answer:
true : 9-2=7 false:3+2=6
Step-by-step explanation:
the first equation is false because if you take 6 and minus 3 you get three not two, But with the other equation its diffrent you take 7 and add it to two you get nine.
Find the measures of the interior angles to the nearest tenth. ( Drawing is not to scale)
Answers
Answer:
6). Option (B)
7). Option (C)
Step-by-step explanation:
6) Property of a triangle :
"Sum of all interior angles is 180°"
(x + 2)° + (2x + 2)° + (2x - 1)° = 180°
5x + 3 = 180°
5x = 177°
x = \(\frac{177}{5}=35.4\)
(x + 2)° = 37.4°
(2x - 1)° = 69.8°
(2x + 2)° = 72.8°
Option (B) is the answer.
7). (4x + 2)° + (2x + 1)° + (x - 1)° = 180°
7x + 2 = 180°
7x = 178°
x = \(\frac{178}{7}= 25.43\)
(4x + 2)° = 103.7
(2x + 1)° = 51.9°
(x - 1)° = 24.4°
Option (C) will be the answer.
Shown is a vector a= 137.0m at 40 degrees. west of north. How
much of vector a points due east?
Answers
Given vector a= 137.0m at 40 degrees. west of north. To determine how much of vector a points due east, the following steps can be used:Step 1: Draw a diagram of the vector a and mark the direction of west and north.
The diagram would look like this: Step 2: Find the components of the vector a, that is, the horizontal component and the vertical component.
Step 3: To find the horizontal component, use the sine function: sin 40° = perpendicular / hypotenuse perpendicular
= hypotenuse x sin 40°perpendicular
= 137.0 x sin 40°perpendicular
= 88.1 m Therefore, the horizontal component of vector a is 88.1 m.
Step 4: To find the vertical component, use the cosine function:cos 40° = base/hypotenuse base
= hypotenuse x cos 40°base
= 137.0 x cos 40°base
= 104.6 m Therefore, the vertical component of vector a is 104.6 m. Step 5: Since we want to find the part of vector a that points due east, we need to use the horizontal component which is 88.1 m. Therefore, 88.1 m of vector a points due east.Thus, the long answer to the question is:88.1 m of vector a points due east.
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Q.2 The lengths of a triangle are 7 cm, 8 cm and 10 cm correct to the nearest cm. Work out maximum possible perimeter of the triangle.
Answers
Step-by-step explanation:
7+8+10=25cm is the possibile perimeter of this
triangle.
a diver was collecting water samples from a lake. he collected a sample at every 3m, starting at 5m below water surface. the final sample was collected at a depth of 35m.how many sample did he collected
Answers
The diver collected water samples at every 3 meters, starting from 5 meters below the water surface, up to a final depth of 35 meters.
We can find the number of samples collected by dividing the total depth range by the distance between each sample and then adding 1 to include the first sample.
The total depth range is:
35 m - 5 m = 30 m
The distance between each sample is 3 m, so the number of samples is:
(30 m) / (3 m/sample) + 1 = 10 + 1 = 11
Therefore, the diver collected a total of 11 water samples.
here are some numbers 10 13 15 20 27 39.
10 15 20 is an arithmetic progression
describe the rule
Answers
Answer:
\(a_{n}\) = 5n + 5
Step-by-step explanation:
The nth term of an arithmetic progression is
\(a_{n}\) = a₁ + (n - 1)d
where a₁ is the first term and d the common difference
Here a₁ = 10 and d = a₂ - a₁ = 15 - 10 = 5 , then
\(a_{n}\) = 10 + 5(n - 1) = 10 + 5n - 5 = 5n + 5
Help I don't know his help meeee
Answers
Answer:
30
Step-by-step explanation:
The rise is the space between the two points vertically.
We can take the two y points (60 and 120) and find the difference between the two. 120 - 60 = 60 between the two. That means the rise = 60.
The run is the difference between the two points horizontally. We can take the two x points (4 and 2) and find the difference between the two. 4 - 2 = 2. The run = 2. Rise/run = 60/2. This can be simplified to 30/1 or 30.
Help this is rlly confusing
Answers
Answer:
they said what is the coefficient in the term 13a so the coefficient would be a
Step-by-step explanation:
Answer:
the coefficient is 13.
Hope it will help :)
In 1899, the first Green Jacket Golf Championship was held. The winner's prize money was $23 In 2020 , the winner's check was $2,670,000. a. What was the annual percentage increase in the winner's check over this period? Note: Do not round intermediate calculations and enter your answer as a percent rounded to 2 decimal places, e.g., 32.16. b. If the winner's prize increases at the same rate, what will it be in 2055 ? Note: Do not round intermediate calculations and round your answer to 2 decimal places, e.g., 1,234,567.89.
Answers
A) annual percentage increase in the winner's check over this period is approximately 11595652.17%.
B) if the winner's prize increases at the same rate, it will be approximately $3,651,682,684.48 in 2055.
a. To find the annual percentage increase in the winner's check over this period, we can use the formula:
Annual Percentage Increase = ((Final Value - Initial Value) / Initial Value) * 100
First, let's calculate the annual percentage increase in the winner's check from 1899 to 2020:
Initial Value = $23
Final Value = $2,670,000
Annual Percentage Increase = (($2,670,000 - $23) / $23) * 100
Now, we can calculate this value using the given formula:
Annual Percentage Increase = ((2670000 - 23) / 23) * 100 = 11595652.17%
Therefore, the annual percentage increase in the winner's check over this period is approximately 11595652.17%.
b. If the winner's prize increases at the same rate, we can use the annual percentage increase to calculate the prize money in 2055. Since we know the prize money in 2020 ($2,670,000), we can use the formula:
Future Value = Initial Value * (1 + (Annual Percentage Increase / 100))^n
Where:
Initial Value = $2,670,000
Annual Percentage Increase = 11595652.17%
n = number of years between 2020 and 2055 (2055 - 2020 = 35)
Now, let's calculate the prize money in 2055 using the given formula:
Future Value = $2,670,000 * (1 + (11595652.17 / 100))^35
Calculating this value, we find:
Future Value = $2,670,000 * (1 + 11595652.17 / 100)^35 ≈ $3,651,682,684.48
Therefore, if the winner's prize increases at the same rate, it will be approximately $3,651,682,684.48 in 2055.
To learn more about Annual Percentage calculation:
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