Answer: To find the coordinates of the point that partitions the directed line segment from (-4, 2) to (-1, -4) into a ratio of 1:5, we can use the following steps:
Step 1: Find the difference between the x-coordinates and y-coordinates of the endpoints.
Difference in x-coordinates = -1 - (-4) = 3
Difference in y-coordinates = -4 - 2 = -6
Step 2: Determine the coordinates of the point that partitions the segment into a ratio of 1:5.
Let (x, y) be the coordinates of the point. Since the segment is being partitioned into a ratio of 1:5, the distance from (-4, 2) to (x, y) is one-sixth of the distance from (-4, 2) to (-1, -4). Therefore, we have:
Distance from (-4, 2) to (x, y) = (1/6) * Distance from (-4, 2) to (-1, -4)
Using the distance formula, we can find the distance between the two points:
Distance from (-4, 2) to (-1, -4) = sqrt(((-1) - (-4))^2 + ((-4) - 2)^2) = sqrt(3^2 + (-6)^2) = sqrt(45)
So, the distance from (-4, 2) to (x, y) is:
Distance from (-4, 2) to (x, y) = (1/6) * sqrt(45) = sqrt(5/2)
To find the coordinates of (x, y), we need to move a distance of sqrt(5/2) in the x-direction and a distance of 5 * sqrt(5/2) in the y-direction from (-4, 2). Since the difference in x-coordinates is 3, we can write:
x = -4 + 3 * (sqrt(5/2)/sqrt(45)) = -4 + sqrt(5/2)
Similarly, since the difference in y-coordinates is -6, we can write:
y = 2 + (-6) * (5 * sqrt(5/2)/sqrt(45)) = -4 - 5 * sqrt(5/2)
Therefore, the coordinates of the point that partitions the directed line segment from (-4, 2) to (-1, -4) into a ratio of 1:5 are:
(x, y) = (-4 + sqrt(5/2), -4 - 5 * sqrt(5/2))
Step-by-step explanation:
Write an equation in standard form of the line shown.
Answer: y= -2x + 4
Hope this helps.
What is 119.30 rounded to the nearest hundredth
Answer:
119.30
Step-by-step explanation:
119.30 rounded to the nearest hundredth is 119.30 because 0 is in the hundredth place, and there is no thousandths
Solve for x round to the nearest tenth of a degree if necessary. HURRYYYY TY
The value of x is 58.51 degree.
We have,
Perpendicular= 8
Base = 4.9
Using trigonometry
tan x = Perpendicular/ Base
tan x = 8/4.9
tan x= 1.63265306122449
x = 58.51253064
Thus, the value of x is 58.51 degree.
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Cual es el perímetro de un rectángulo si tiene 20 de largo y 11 de ancho?
The perimeter of the rectangle is 62 square units.
How to find the perimeter of a rectangle?The perimeter of a rectangle can be calculated using the formula:
P = 2(L + W)
Where:
L is the length of the rectangle
W is the width of the rectangle
We have:
L = 20 units
W = 11 units
Substituting into the formula:
P = 2(20 + 11)
P = 2(31)
P = 62 square units
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Question in English
What is the perimeter of a rectangle if it is 20 long and 11 wide?
Write the height h of the rectangle as a function of x where
(a, b) = (125, 5).
Step 1
Note that the x-coordinate represents the directed distance from the y-axis to the point, and the y-coordinate represents the directed distance from the x-axis to the point.
The height of the given rectangle is the difference between the difference between the directed distances of its top and bottom from the x-axis.
Step 2
Looking at the graph, the directed distance of the rectangle's top from the x-axis is
y1 =
.
For any given x, the directed distance of the rectangle's bottom from the x-axis is
y2 =
.
The value of \(y_1\) is not fixed, and it changes with x.
The height of the rectangle as a function of x is: \(h =2 -\sqrt[3]{x}\)
The value of \(y_1\) is calculated using:
\(y = \sqrt[3]{x}\)
So, we have:
\(y_1 = \sqrt[3]{x}\)
From the graph, the value of \(y_2\) is:
\(y_2 = 2\)
So, the height of the rectangle is:
\(h = y_2 - y_1\)
Substitute \(y_1 = \sqrt[3]{x}\) and \(y_2 = 2\)
\(h =2 -\sqrt[3]{x}\)
Rewrite as:
\(h(x) = 2 - \sqrt[3]{x}\)
Hence, the height of the rectangle as a function of x is: \(h =2 -\sqrt[3]{x}\)
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A couple plans to purchase a house. The bank requires a 20% down payment on the $240,000 house. The couple will finance the rest of the cost with a fixed- rate mortgage at 8.5% annual interest with monthly payments over 30 years.
Complete the parts below. Do not round any intermediate computations. Round your final answers to the nearest cent if necessary. If necessary, refer to the list of financial formulas.
(a) Find the required down payment.
(b) Find the amount of the mortgage.
(c) Find the monthly payment.
(A) The required down payment is $48,000.
(B) The amount of the mortgage is $192,000.
(C) Monthly payment = $192,000 * (0.085/12) * (1 + (0.085/12))^(3012) / (((1 + (0.085/12))^(3012)) - 1)
(a) To find the required down payment, we need to calculate 20% of the house price.
Down payment = 20% of $240,000
Down payment = 0.2 * $240,000
Down payment = $48,000
The required down payment is $48,000.
(b) The amount of the mortgage is equal to the total cost of the house minus the down payment.
Mortgage amount = Total cost of the house - Down payment
Mortgage amount = $240,000 - $48,000
Mortgage amount = $192,000
The amount of the mortgage is $192,000.
(c) To find the monthly payment for the mortgage, we can use the formula for the monthly payment on a fixed-rate mortgage:
Monthly payment = P * r * (1 + r)^n / ((1 + r)^n - 1)
Where:
P = Principal amount (mortgage amount)
r = Monthly interest rate (8.5% annual interest divided by 12 months and converted to a decimal)
n = Total number of monthly payments (30 years multiplied by 12 months)
Monthly payment = $192,000 * (0.085/12) * (1 + (0.085/12))^(3012) / (((1 + (0.085/12))^(3012)) - 1)
Using this formula and performing the calculation will give you the monthly payment amount.
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Which of the following statements involve inferential statistics as opposed to descriptive statistics?
a. A total of 4,785 people
b. The FAA
c. a class of fifty stats students
d. the city business office reported
e. based on a sample of 500 subscribers
The statement that involves descriptive statistics is -
Option A) The Alcohol, Tobacco, and Firearms Department reported that Houston had 1,791 registered gun dealers in 1997.
What are two categories of field statistics?
There are two categories of field statistics. Descriptive and inferential statistics. Both of them help analysts to make sense of row after row data.
Descriptive statistics presents quantifiable descriptions in a simple way. Inferential statistics is used to draw conclusions that go beyond the raw data only. It is used in making judgments, inferences to deeper general conditions.
The Alcohol, Tobacco, and Firearms Department reported that Houston had 1,791 registered gun dealers in 1997.
Descriptive statistics are useful in describing the basic features of the data being analyzed. They simply provide what the raw data shows. They simplify huge amounts of data sensibly and make it presentable in a manageable form.
With regard to the question, raw data is available stating that the registered gun dealers were 1791 in 1997. It, therefore, involves descriptive statistics.
Therefore, the correct answer is option A.
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Which of the following statements involve descriptive statistics as opposed to inferential statistics?
A) The Alcohol, Tobacco, and Firearms Department reported that Houston had 1,791 registered gun dealers in 1997.
B) Based on a survey of 400 magazine readers, the magazine reports that 45% of its readers prefer double-column articles.
C) The FAA samples 500 traffic controllers in order to estimate the percent retiring due to job-stress-related illness.
D) Based on a sample of 300 professional tennis players, a tennis magazine reported that 25% of the parents of all professional tennis players did not play tennis.
Which situation describes a proportional relationship that can be represented with the
equation y = 7x?
Emmet spends a dollars to buy 7 movie tickets. What is the cost, y, of each movie ticket?
Alma watches a minutes of a video that is 7 minutes long. What is the number of minutes, y, Alma
has left to watch?
Cara recycles a glass bottles and 7 plastic bottles. What is the total number of bottles, y, Cara
recycles?
Jordin climbs x stairs that each have a height of 7 inches. What is the total number of inches, y,
Jordin climbs?
The situation which can be represented with the equation y = 7x among the answer choices is; Jordin climbs x stairs that each have a height of 7 inches. What is the total number of inches, y,
Jordin climbs?
What is the situation described by the proportional relationship?It follows from the task content that the proportional relationship is a representative of the situation where;
Jordin climbs x stairs that each have a height of 7 inches. What is the total number of inches, y, Jordin climbs?Hence, y is the total height Jordin climbs while x is the number of stairs Jordin climbs.
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Write x^2 - 8x + 10 in the form
(x + a)^2 + B
\(x^2-8x+10=x^2-8x+16-6=(x-4)^2-6\)
The data below shows the money Paritosh spends on a weekend. What will be the central angles of each of these categories?with the numbers 40 100 50 50
The central angles for the categories with the numbers 40, 100, 50, and 50 are 60 degrees, 150 degrees, 75 degrees, and 75 degrees, respectively.
To calculate the central angles for each category based on the given numbers 40, 100, 50, and 50, we need to find the proportion of each value to the total sum of all the values. Let's proceed with the following steps:
Step 1: Calculate the total sum of the given numbers: 40 + 100 + 50 + 50 = 240.
Step 2: Find the proportion of each value by dividing it by the total sum and multiplying it by 360 (since a full circle has 360 degrees).
Central angle for the first category: (40/240) * 360 = 60 degrees.
Central angle for the second category: (100/240) * 360 = 150 degrees.
Central angle for the third category: (50/240) * 360 = 75 degrees.
Central angle for the fourth category: (50/240) * 360 = 75 degrees.
The central angles for each category based on the given numbers are 60 degrees, 150 degrees, 75 degrees, and 75 degrees, respectively.
These central angles represent the relative proportions of each category's spending in relation to the total spending. They can be used to create a pie chart or visualize the distribution of expenses in a circular graph.
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Note the search engine cannot find the complete question
The animals at a safari park include camels,
kangaroos and meerkats.
There are 12 more kangaroos than there are
camels.
There are 3 times as many meerkats as there
are camels.
There are the same number of kangaroos as
there are meerkats.
How many camels are there at the safari park?
The times that customers spend in a book store are normally distributed with a mean of 39.5 minutes and a standard deviation of 15.9 minutes. A random sample of 60 customers has a mean of 36.1 minutes or less. Would this outcome be considered unusual, so that the store should reconsider its displays?
Answer:
Since |Z| = 1.66 < 2, this outcome should not be considered unusual.
Step-by-step explanation:
To solve this question, we need to understand the normal probability distribution and the central limit theorem.
Normal probability distribution
Problems of normally distributed samples are solved using the z-score formula.
In a set with mean \(\mu\) and standard deviation \(\sigma\), the zscore of a measure X is given by:
\(Z = \frac{X - \mu}{\sigma}\)
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.
If |Z| > 2, X is considered unusual.
Central Limit Theorem
The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean \(\mu\) and standard deviation \(\sigma\), the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean \(\mu\) and standard deviation \(s = \frac{\sigma}{\sqrt{n}}\).
For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.
In this question, we have that:
\(\mu = 39.5, \sigma = 15.9, n = 60, s = \frac{15.9}{\sqrt{60}} = 2.05\)
A random sample of 60 customers has a mean of 36.1 minutes or less. Would this outcome be considered unusual, so that the store should reconsider its displays?
We have to find Z when X = 36.1.
\(Z = \frac{X - \mu}{\sigma}\)
By the Central Limit Theorem
\(Z = \frac{X - \mu}{s}\)
\(Z = \frac{36.1 - 39.5}{2.05}\)
\(Z = -1.66\)
So |Z| = 1.66
Since |Z| = 1.66 < 2, this outcome should not be considered unusual.
Nathan has a drafting machine. Which other instrument will he need to use?
A.
compass
B.
T-square
C.
scales
D.
protractor
E.
triangles
The drafting machine is a tool used for technical drawing and the instrument used is a T-square
Given data ,
A drafting machine is a tool used for technical drawing and drafting. It typically consists of a drafting arm or a mechanical linkage that allows for precise movements and measurements. While a drafting machine itself is useful for drawing straight lines and angles, it typically needs to be used in conjunction with other instruments to complete the drawing process.
A T-square is a crucial instrument in drafting that provides a straightedge for drawing horizontal lines and ensuring vertical alignment. It is commonly used in combination with a drafting machine to create accurate drawings.
Hence , Nathan will need a T-square in addition to his drafting machine to effectively complete his drafting tasks
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-18 - 6n= 6 (1 + 3n)
Answer:-1
Step-by-step explanation:-18-6n = 6 + 18n
-6n=6
divide
n=-1
Answer:
-1
Step-by-step explanation:
First, divide by 6
-18/6- 6n/6=6/6(1+3n)
-3-n= 1+3n
Then move the variable to one side
-3-n+n= 1+3n+n
-3=1+4n
Then isolate the variable
-3-1=1-1+4n
-4=4n
Isolate more
-4/4=4n
-1=n
Mano you new wom a) Divide 70,756 by 19. b) Subtract 940 from your answer to part a).
The solution of the expression is,
a) 3,724
b) 2,784
We have to given that,
a) Divide 70,756 by 19.
b) Subtract 940 from your answer to part a).
Now, We can simplify as,
a) Divide 70,756 by 19.
⇒ 70,756 ÷ 19
⇒ 3,724
And, Subtract 940 from your answer to part a). that is, 3724
⇒ 3724 - 940
⇒ 2,784
Therefore, The solution of the expression is,
a) 3,724
b) 2,784
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If tan6A = sec6A, then what is the value of A? Please answer in details.
The values of the variables in the expression are as follows:
a = 3
b = 4
c = 3
d = -4
Here, we have,
Expressions in math are mathematical statements that have a minimum of two terms containing numbers or variables, or both, connected by an operator in between.
Let's find the value of the variables in the expression.
(ax + b)(cx - d) = 9x² - 16
acx² - adx + bcx - bd = 9x² - 16
Therefore,
9x² - 16 = (3x + 4) (3x - 4)
Hence,
(ax + b) = (3x + 4)
Therefore,
a = 3
b = 4
(cx - d) = (3x - 4)
cx = 3x
d = -4
Therefore,
c = 3
d = -4
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cmplete question:
What is the value of a ?
What is the value of b ?
What is the value of c ?
What is the value of d ?
what is 10 2/1 divided by 2 1/4
Answer:
5.3 but the three is repeated
Step-by-step explanation:
Answer:
\(10 \frac{2}{1} \div 2 \frac{1}{4 } = \frac{48}{9} \)
Penjelasan
\(10 \frac{2}{1} = \frac{12}{1} \)
\(2 \frac{1}{4} = \frac{9}{4} \)
\( \frac{12}{1} \div \frac{9}{4} = \frac{12}{1} \times \frac{4}{9} = \frac{48}{9} \)
Then the answer is 48/9
------------------------------------------
\( \green{ \boxed{ \boxed{ \sf{Lusi \: Adriana} } } } \)
Question 3 of 10
A tax professional gets paid $175 for each tax return she prepares, and her
goal is to earn $6650 preparing tax returns during this tax season. If she has
already prepared 5 tax returns this tax season, how many more tax returns
must she prepare in order to reach her goal?
A. 35
B. 33
C. 38
D. 43
SUBMIT
Answer:
C.38
Step-by-step explanation:
175 times 38 = 6650
I need help. please help me with this question.
Answer:
1,000 - 50x > 600
-50x > -400
$0.00 < x < $8.00
help me find the volume because im bad at math :)
Answer:
v=2144.66
Step-by-step explanation:
V=4/3πr^3
sub in r which is 8
V=4/3 * π * 8^3
V=4/3 * π * 512
Of all the species in the world,4 out of every 5 are insects.
What percentage of species are insects?
Answer:
80%
Step-by-step explanation:
It has long been recognized and documented that insects are the most diverse group of organisms, meaning that the numbers of species of insects are more than any other group. In the world, some 900 thousand different kinds of living insects are known. This representation approximates 80 percent of the world's species.
Explain why the probability of rolling a sum from 2 to 12 is 100%. [C:2]
The probability of rolling a sum from 2 to 12 on 2 dices is 100%
Given the data,
The two dice should be rolled.
Now, there are 36 possibilities that might occur while rolling two normal six-sided dice. The reason for this is that when rolling two dice, the total number of outcomes is the product of the numbers of outcomes for each die, and each die has six potential outcomes (numbers 1 through 6).
The resultant 36 results are as follows:
1-1, 1-2, 1-3, 1-4, 1-5, 1-6
2-1, 2-2, 2-3, 2-4, 2-5, 2-6
3-1, 3-2, 3-3, 3-4, 3-5, 3-6
4-1, 4-2, 4-3, 4-4, 4-5, 4-6
5-1, 5-2, 5-3, 5-4, 5-5, 5-6
6-1, 6-2, 6-3, 6-4, 6-5, 6-6
When using two dice, there are a total of 36 possibilities that might occur.
As a result, the results' total ranges from 2 to 12.
Hence , the probability is 100 %
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question is pictured below, need to learn steps to solve this and I dont have my book with me
However, I can still give you some general steps to solve a math problem in 200 words.
Step 1: Read the problem thoroughly and understand what it's asking you to find. This may involve identifying the given information and what you need to find. Also, identify any constraints on the problem, like time or cost.
Step 2: Plan how to solve the problem. Think about what mathematical operations or formulas you can use to find the answer. Make a list of the steps you need to take to solve the problem. Also, determine the units for your answer.
Step 3: Solve the problem. Use the mathematical operations or formulas you've identified in step 2 to find the answer. Show all of your work, including any calculations, so that you can easily check your work later.
Step 4: Check your answer. Make sure that your answer makes sense and that it satisfies any constraints given in the problem. Also, check that your units are correct. If your answer doesn't make sense, go back and review your work to see if you made an error.
Step 5: Reflect on what you've learned. Think about what you did well and what you could improve upon in future problem-solving situations. This will help you become a more effective problem solver in the future.
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The population standard deviation for the heights of dogs, in inches, in a city is 3.7 inches. If we want to be 95% confident that the sample mean is within 1 inch of the true population mean, what is the minimum sample size that can be taken?
Answer:
15 dog heights; \(n=15\)
Step-by-step explanation:
The formula to be used here is \(MOE_\gamma=z_\gamma*\sqrt{\frac{\sigma}{n} }\) where:
\(\gamma\) is the confidence level\(MOE_\gamma\) is the margin of error for a confidence level\(z_\gamma\) is the critical value for the confidence level\(\sigma\) is the population standard deviation\(n\) is the sample sizeWe are given that:
\(\gamma=0.95\)\(MOE_\gamma=1\)\(z_\gamma=invNorm(0.975,0,1)=1.96\)\(\sigma=3.7\)To determine the minimum sample size, \(n\), we plug our given values into the formula and solve for
\(MOE_\gamma=z_\gamma*\sqrt{\frac{\sigma}{n} }\)
\(1=1.96\sqrt{\frac{3.7}{n} }\)
\(\frac{1}{1.96}=\sqrt{\frac{3.7}{n} }\)
\((\frac{1}{1.96}) ^{2}=\frac{3.7}{n}\)
\(n=\frac{3.7}{(\frac{1}{1.96})^{2} }\)
\(n=14.21392\)
Don't forget to round up here! This means that \(n=15\) actually.
Therefore, if we want to be 95% confident that the sample mean is within 1 inch of the true population mean, the minimum sample size that can be taken is 15 dog heights.
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In an ESP experiment subjects must predict whether a number randomly generated by a computer will be odd or even. (Round your answer to four decimal places.) (b) What is the probability that a subject would guess more than 20 correct in a series of 36 trials?
The probability that a subject would guess more than 20 correct in a series of 36 trials is 0.0001
How to find the pobability that a subject would guess more than 20 correct in a series of 36 trialsIn a series of 36 trials, if the subject is guessing randomly, then the probability of correctly guessing odd or even is 1/2.
Let X be the number of correct guesses in a series of 36 trials. X follows a binomial distribution with parameters n = 36 and p = 1/2.
The probability of guessing more than 20 correct is:
P(X > 20) = 1 - P(X ≤ 20)
Using a binomial distribution table, we can find that P(X ≤ 20) = 0.9999 (rounded to four decimal places).
Therefore: P(X > 20) = 1 - 0.9999 = 0.0001
So the probability that a subject would guess more than 20 correct in a series of 36 trials is 0.0001 (rounded to four decimal places).
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Seven cards are drawn from an ordinary deck. In how many ways is it possible to draw (b) only 8's, 's and (c) no 's, 's and (d) exactly 2 or ; (e) spades and hearts? (a) Number of ways to draw only 's = 0 (b) Number of ways to draw only 's, 's, and 's = 924 (c) Number of ways to draw no 's, 's, and 's = 3838380 (d) Number of ways to draw exactly 2 s or s = 3,801,028 (e) Number of ways to draw spades and hearts = 55770 Question is complete. Tap on the red indicators to see incorrect answers.
Complete question :
Seven cards are drawn from an ordinary deck. In how mnat ways is it possible to draw (a) only 5s (b)only 8s, 9s, and 10s, (c) no 8s, 9s, and 10s (d) exactly 2 jacks or kings, (e) 5 spades and 2 hearts?
Answer:
0; 792 ; 100396 ; 30408224 ; 18643560 ;
Step-by-step explanation:
Number of cards in a deck = 52
Number of cards to be drawn = 7
Using combination:
nCr = n! ÷ (n-r)!r!
A.)
Number of 5's in a deck = 4
4C7 = 0
(B.)
only 8s, 9s, and 10s,
Number of 8, 9 and 10's = 4 *3 = 12
12C7 = 12! ÷ 5!7! = 792
(C)
no 8s, 9s, and 10s ;
Number of cards to select from = 52 - (3(4)) = 40C7 = 18643560
(D)
exactly 2 jacks or kings,
Number of jack or king in deck = 8 ; other 5 could be any of the rest : (52 - 8) = 44
8C2 * 44C5 = 28 * 1086008 = 30408224
(e) 5 spades and 2 hearts?
Number of spades = 13
Number of hearts = 13
13C5 * 13C2
1287 * 78 = 100396
2) BRAINLIEST + 10 + POINTS!!!
Answer:
142 ft²
Step-by-step explanation:
r= 26 ft
Sector covered= 24°
Area of sector= πr²*24/360= 3.14*26²*24/360= 142 ft²
Vehicles generally decrease in value around 14% per year. If you buy a vehicle priced at $39,500 , this can be modeled by the equation A=39500(0.86)t . Estimate the value of the vehicle after 4 years. Round to the nearest cent and do not round until the final calculation.
Rounding to the nearest cent, the estimated value of the vehicle after 4 years is approximately $23,726.20..
To estimate the value of the vehicle after 4 years, we can use the given equation A = 39500(0.86)^t, where A represents the value of the vehicle and t represents the number of years.
Substituting t = 4 into the equation:
A = 39500(0.86)^4
A ≈ 39500(0.5996)
A ≈ 23726.20
Rounding to the nearest cent, the estimated value of the vehicle after 4 years is approximately $23,726.20.
This estimation is based on the assumption that the vehicle's value decreases by 14% each year. The equation A = 39500(0.86)^t models the exponential decay of the vehicle's value over time. By raising the decay factor of 0.86 to the power of 4, we account for the 4-year period. The final result suggests that the value of the vehicle would be around $23,726.20 after 4 years of ownership.
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place the boxes in the correct location this Math problem 15 points
Answer:
but where is the question please type your full questions
There are 14 girls and 12 boys in a class what is the ratio of girls to students
Answer:
14:26
Step-by-step explanation:
Because there is 14 girls and in all as students there is 26 of them.