In the year 2003, a person bought a new car for $17500. For each consecutive year after that, the value of the car depreciated by 11%. How much would the car be worth in the year 2006, to the nearest hundred dollars?
Answers
Answer:
$12320
Step-by-step explanation:
Given data
Cost of car= $17500
rate of depreciation= 11%
duration= 2003 - 2006= 3 years
Let us apply the compound interest formula
A= P(1-r)^t
Note the negative sign(this is because of the depreciation)
A=17500(1-0.11)^3
A= 17500(0.89)^3
A= 17500*0.704
A= $12320
Hence the value of the car is $12320
Related Questions
Can someone please explain how to find the coordinates? I’m really confused. Thanks! :)
Answers
The locations of the points in rectangular form are, respectively:
A(x, y, z) = (0, 0, 0) B(x, y, z) = (0, 0, 50) C(x, y, z) = (0, 60, 0) D(x, y, z) = (60, 0, 60) E(x, y, z) = (0, 80, 80) F(x, y, z) = (60, 40, 80)How to represent location of points according to rectangular system of coordinates
In this problem we must describe the locations of six points in a rectangular system of coordinates. Herein we define rectangular points as points with 3 coordinates related to each orthogonal axis. This kind of points are defined below:
(x, y, z)
Where:
x - Distance from the origin along the x-axis.y - Distance from the origin along the y-axis.z - Distance from the origin along the z-axis.Now we proceed to describe the location of each point:
A(x, y, z) = (0, 0, 0)
B(x, y, z) = (0, 0, 50)
C(x, y, z) = (0, 60, 0)
D(x, y, z) = (60, 0, 60)
E(x, y, z) = (0, 80, 80)
F(x, y, z) = (60, 40, 80)
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I need the answers, fast!
Answers
Answer:
-5/8, 1/3, -3/2
Step-by-step explanation:
1.
-7/8+1/4
-7/8+2/8
(-7+2)/8
-5/8
2.
-19/3+20/3
1/3
3.
2-7/2
(4-7)/2
-3/2
1-
-7/8+1/4
-7/8+2/8
(-7+2)/8
-5/8
2-
The rate (in mg carbon/m3/h) at which photosynthesis takes place for a species of phytoplankton is modeled by the function P = 110I I2 + I + 4 where I is the light intensity (measured in thousands of foot-candles). For what light intensity is P a maximum? I = thousand foot-candles
Answers
Using the vertex of a quadratic equation, it is found that P is at a maximum for l = -0.5 thousand foot-candles.
What is the vertex of a quadratic equation?A quadratic equation is modeled by:
\(y = ax^2 + bx + c\)
The vertex is given by:
\((x_v, y_v)\)
In which:
\(x_v = -\frac{b}{2a}\)
\(y_v = -\frac{b^2 - 4ac}{4a}\)
Considering the coefficient a, we have that:
If a < 0, the vertex is a maximum point.If a > 0, the vertex is a minimum point.In this problem, the function for P is given by:
\(P(l) = \frac{110l}{l^2 + l + 4}\)
The function will be at a maximum when the denominator is at a minimum. The denominator is a quadratic function with coefficients a = 1, b = 1, c = 4, hence:
\(l_v = -\frac{b}{2a} = -\frac{1}{2} = -0.5\)
P is at a maximum for l = -0.5 thousand foot-candles.
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Two whole number are such that a x b =97. Determine the possible value(s) of a + b
Answers
Answer:
98
Step-by-step explanation:
97 is prime, so its only factors are 1 and 97, which add to 98.
In a hypothesis test, what should we conclude if the data would be very unusual if the original assumption about our parameter were correct?
Answers
We conclude the hypothesis test as Alternative Hypothesis if the data would be very unusual if the original assumption about our parameter were correct.
A hypothesis in statistics is a claim or supposition on the properties of one or more variables in one or more populations. There are two hypothesis to choose between because a statement might either be true or wrong.The null hypothesis is the assertion that we (or someone else) consider to be true. Our hypothesis test will come to one of two conclusions: "reject H0" or "do not reject H0." Remember that until data provide evidence to the contrary, we always proceed under the null hypothesis.If the null hypothesis is incorrect, the alternative hypothesis must be true. The hypothesis test can be different in one of three ways: greater than, smaller than, or just different (not equal). As a result, there will always be an inequality requirement in the notation for H.Learn more about Alternative hypothesis here: https://brainly.com/question/17173491
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Mrs. Darby would like to determine if the cafeteria should sell snacks during non-lunch periods. Which sampling
method is most likely to yield an accurate prediction of the population? Explain your reasoning and why the other
choices are not likely to yield an accurate prediction.
Answers
Answer:
Set up like a sampling and voting station, people sample which snacks and vote on which should be sold :)
Choose the equation that represents the line that passes through the point (2, 6) and has a slope of −5.
Answers
Answer:
y=-5x+16
Explanation:
We already know the slope, and in y=mx+b, m is the slope. So now we have y=-5x+b.
Next, since we do not know the y-intercept, we can substitute the y and x values we are given in the current equation we have, y=-5+b. Now we have 6=-5(2)+b.
Now we can solve for b.
6=-10+b
16=b. We know that b=16.
Therefore, the equation is y=-5x+16
Where -4 is the y-intercept
Which of the following represents the lowest speed in miles per hour?
A. 6 miles in 18 hour
B. 11 miles in 14 hour
C. 16 miles in 38 hour
D. 20 miles in 12 hour
Answers
Answer:
D
Step-by-step explanation:
Aaaaaaaaaaaaaaaaaaaa
A news organization interested in chronicling winter holiday travel trends conducted a survey. Of the 96 people surveyed in the eastern half of a country, 42 said they fly to visit family members for the winter holidays. Of the 108 people surveyed in the western half of the country, 81 said they fly to visit family members for the winter holidays.
Use a calculator to construct a 99% confidence interval for the difference in population proportions of people in the eastern half of a country who fly to visit family members for the winter holidays and people in the western half of a country who fly to visit family members for the winter holidays. Assume that random samples are obtained and the samples are independent.
Round your answers to three decimal places.
Answers
We are 99% confident that the true difference in population proportions of people in the eastern half of the country who fly to visit family members for the winter holidays and people in the western half of the country who fly to visit family members for the winter holidays is somewhere between -0.422 and -0.114.
Next, we need to calculate the standard error of the difference in sample proportions. This gives us an idea of how much the sample difference in proportions can be expected to vary from the true population difference in proportions. We use the following formula to calculate the standard error:
√((p₁(1-p₁)/n₁)+(p₂(1-p₂)/n₂))
where p₁ and p₂ are the sample proportions, and n₁ and n₂ are the sample sizes. Plugging in the values we have, we get a standard error of 0.094.
Now that we have the sample proportions and the standard error, we can use a confidence interval formula to calculate the range of values that we can be confident contains the true population difference in proportions. For a 99% confidence interval, the formula is:
(sample proportion 1 - sample proportion 2) +/- (critical value x standard error)
The critical value is obtained from a t-distribution table, with degrees of freedom equal to the smaller of (n1-1) and (n2-1). For a 99% confidence level and 44 degrees of freedom, the critical value is 2.689.
Plugging in the values we have, we get a confidence interval of:
0.438 - 0.75 +/- 2.689 x 0.094
= -0.422 to -0.114
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Ivanna is solving a quadratic equation. She wants to find the value of x by taking the square root of both sides of the equation. Which equation allows her to do this?.
Answers
The equation that allows Ivanna to take the square root of both sides to find the value of x is ax² + bx + c = 0.
This is known as the standard form of a quadratic equation, and it can only be solved by taking the square root of both sides. After taking the square root, Ivanna would be left with two equations, one containing the positive root of the equation and one containing the negative root. The positive root would be the value of x that Ivanna is looking for.
Therefore Ivanna have to take the square root of both sides to find the value of x is ax² + bx + c = 0.
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A chef was preparing a dish that included beef and pork. The beef had a use-by date of September 1 while the pork had a use-by date of September 15. What is the discard date of the dish
Answers
To determine the discard date of the dish, we need to consider the use-by dates of both the beef and the pork.
The beef has a use-by date of September 1, which means it should not be consumed after that date for safety reasons.
The pork, on the other hand, has a use-by date of September 15, indicating it should not be consumed after that date.
Since the dish includes both beef and pork, we must follow the earliest use-by date to ensure food safety. In this case, the beef has the earlier use-by date of September 1.
Therefore, the discard date of the dish would be September 1, as it should not be consumed or kept beyond that date.
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Find the equation of the parabola given information about its graph, vertex is (0,0); directrixis y = 2, focusis (0,-2)
_____
Answers
The equation of the parabola with vertex (0, 0) and focus (0, -2) is x² = -8y. The parabola is symmetric about the vertical line through the vertex, so its equation can be written in the form of x² = 4ay, where a is the distance between the vertex and the focus.
In this case, a = |-2| = 2, so the equation of the parabola is x² = -8y.The directrix is a line that is parallel to the axis of symmetry and is equidistant from the vertex and the focus.
In this case, the directrix is the line y = 2, so it is 2 units below the vertex. This means that the parabola opens downward, and the equation of the parabola is x² = -8y.
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Plz help due today 15 points
Answers
What's the question?
Use the graph to find the missing part of each
statement
g(6)=
g(2)=
g(0)=
g()=-1
g()=1
Answers
The missing part of the statements are g(6) = 0, g(2) = 2, g(0) = 3, g(8) = -1 and g(4) = 1
How to determine the missing part of the statements?The graph represents the given parameter
From the graph, we can see that the graph represents a linear function
Note that:
linear functions are functions that have constant average rates of change.
Having mentioned that, we have the following computations:
When x = 6 on the graph, g(x) = 0
This means that g(6) = 0
When x = 2 on the graph, g(x) = 2
This means that g(2) = 2
When x = 0 on the graph, g(x) = 3
This means that g(0) = 3
When g(x) = -1 on the graph, x = 8
This means that g(8) = -1
When g(x) = 1 on the graph, x = 4
This means that g(4) = 1
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Write an equation in paint-slope form of the line that passes through the point (3, 5) and has a slope of m = - 1
Answers
9514 1404 393
Answer:
y -5 = -(x -3)
Step-by-step explanation:
The point-slope form of the equation of a line with slope m through point (h, k) is ...
y -k = m(x -h)
For m=-1 and (h, k) = (3, 5), the equation of the line is ...
y -5 = -(x -3)
Answer:
y-5=-1(x-3)
Step-by-step explanation:
Point slope form: y-y1=m(x-x1)
graph y=-3/4(x+3)(x+7)
Answers
Answer:
the EQUATION IS NICE BUT IT NEED TO BE WORKED FIRST AND THE GRAPH IS INCORRECT IT SHOULD BE
TURNING POINTS SHOULB BE AT Y-AXIS ON TOP THE GRAPH IT SHOULD LOOK DOWN BECAUSE OF NEGATIVE SIGNHelp!!!
a $52 item is marked up 10% and then markdown 10% what is the final price
Answers
Answer: $51.48
Step-by-step explanation:
If a $52 item is marked up by 10%, its new price will be:
$52 + 10% of $52 = $52 + $5.20 = $57.20
Then, if this new price is marked down by 10%, the final price will be:
$57.20 - 10% of $57.20 = $57.20 - $5.72 = $51.48
Therefore, the final price of the item after the markup and markdown is $51.48.
Write an equation that represents a function that relates the value of Ethan’s car in dollars, g(t), and the time in years since he bought the car.
Answers
An equation that represents a function that relates the value of Ethan’s car in dollars, g(t), and the time in years since he bought the car.
\(g(t) = P * e^{(-rt)\)
Assuming that Ethan's car depreciates in value over time, a commonly used function to model such depreciation is an exponential decay function of the form:
\(g(t) = P * e^{(-rt)\)
where:
g(t) is the value of the car in dollars at time tP is the initial value (or purchase price) of the carr is the annual depreciation rate as a decimalt is the time in years since the car was purchasedTherefore, the equation that represents the function relating the value of Ethan's car in dollars, g(t), and the time in years since he bought the car is:\(g(t) = P * e^{(-rt)\)
where P, r, and t are specific values based on the purchase price and depreciation rate of Ethan's car, as well as the time that has passed since he bought it.
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What’s the surface area of 200 square inches ?
Answers
Answer:
5.77in
Step-by-step explanation:
A cube has 6 square faces, so each face would have area 200 sq in/6=33.33 sq in
Since the area of each face equals the square of the sides, the edge of the cube would be sqrt%2833.33sq+in%29= approx. 5.77 in
Let X be the number of students who show up for a professor's office hour on a particular day. Suppose that the pmf of X is p(0) = .20, p(1) = .25, p(2) = .30, p(3) = .15, and p(4) = .10. a. Draw the corresponding probability histogram. b. What is the probability that at least two students show up? More than two students show up? c. What is the probability that between one and three students, inclusive, show up?
d. What is the probability that the professor shows up?
Answers
a) The probability histogram of pmf for the number of students who show up for a professor's office hour on a particular day is shown below.
b) The probability that at least two students show up = 0.55 and the probability that more than two students show up = 0.25
c) The probability that between one and three students show up = 0.7
d) The probability that the professor shows up = 0.20
First we write the number of students who show up for a professor's office hour on a particular day and their pmf in tabular form.
x p(x)
0 0.20
1 0.25
2 0.30
3 0.15
4 0.10
The probability histogram of this data is shown below.
The probability that at least two students show up would be,
P(x ≥ 2) = p(2) + p(3) + p(4)
P(x ≥ 2) = 0.30 + 0.15 + 0.10
P(x ≥ 2) = 0.55
Now the probbability that more than two students show up:
P(x > 2) = p(3) + p(4)
P(x > 2) = 0.15 + 0.10
P(x > 2) = 0.25
The probability that between one and three students show up would be:
P(1 ≤ x ≤ 3) = p(1) + p(2) + p(3)
P(1 ≤ x ≤ 3) = 0.25 + 0.30 + 0.15
P(1 ≤ x ≤ 3) = 0.7
And the probability that the professor shows up would be: p = 0.20
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Evaluate 3xy ^2 - 5 for x = 5, y = 8
Answers
Answer:
955
Step-by-step explanation:
8 squared = 64
x 3 X 5 = 960
-5
= 955
PLEASE HELP ASAP ⚠️ THIS IS DUE TOMORROW I WILL EVEN MARK YOU AS BRAINLEY IF YOU HELP ME ON THIS AND OTHERS tyyy <3
Answers
Answer:
attached
Step-by-step explanation:
answer attached
hope this helps!
can u solve problem number 3 for me please
Answers
Answer:
AAS
Step-by-step explanation:
For 2 triangles to be congruent, they must meet 1 of the following relative to each other:
SSS (all 3 sides are equal)ASA (2 angles and the side in between them are equal)AAS (2 angles and a different side are equal)SAS (2 sides and the angle in between them are equal)RHS (the triangles are right angled with an equal hypotenuse and other side)These two triangles share 2 of the same angles and 1 of the same sides.
Therefore, they meet the AAS criteria.
write the slope-intercept form of the equation of each line
Answers
Answer:
try ( -4,1)
Step-by-step explanation:
if not then i'm sorry
y = 2x -3
Two customers took out car loans from a bank. marcus took out a 5-year loan for $10,000 and paid 4.7% annual simple interest. gianna took out a 6-year loan for $10,000 and paid 4.5% annual simple interest. what is the difference between the amounts of interest marcus and gianna paid for their car loans? question 2 options: $500 $400 $450 $350
Answers
This figure is made up of two rectangular prisms.
What is the volume of the figure?
10 ft 3ft 6ft 12ft 19ft
Answers
What is the gradient of the graph shown
Answers
Answer:
Use the formula change in y divided by change in x to get your answer
Which of the following quantities is equal to the energy per second generated by fusion in the Sun's core? Select an answer and submit. For keyboard navigation, use the up/down arrow keys to select an answer. а the temperature at the Sun's photosphere. b the luminosity of the Sun's photosphere. с the temperature of the Sun's core. d the force of gravity holding the Sun together.
Answers
The quantity that is equal to the energy per second generated by fusion in the Sun's core is the temperature of the Sun's core. Therefore, the correct option is C.
The fusion reactions that occur in the core of the Sun release energy in the form of radiation and heat, and this energy is transported outwards towards the photosphere. The temperature of the core is directly related to the rate of fusion reactions and the amount of energy generated.
The luminosity of the photosphere (option b) and the force of gravity holding the Sun together (option d) are important factors in understanding the overall behavior of the Sun, but they are not directly related to the energy generated by fusion in the core. The temperature at the photosphere (option a) is also not directly related to the energy generated by fusion in the core, although it is a measure of the temperature of the outer layers of the Sun where visible light is emitted. Hence, the correct answer is option C.
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Probability of first marriage among women. A National Center for Health Statistics (NCHS) brief report by the Centers for Disease Control and Prevention (CDC) in 2009 identified that about 6% of women in the United States mar- ried for the first time by their 18th birthday 50% married by their 25th birthday, and 74% married by their 30th birthday. Based on these data, what is the probability that in a family with two daughters, the first and second daughter will be married by each of the following ages? la) 18 years of age b) 25 years of age c) 30 years of age
Answers
The probability that both will be married before the age of 18 is 0.0036. The probability that both will be married by the age of 25 is 0.25. Finally, the probability that both will be married by the age of 30 is 0.5476.
According to the brief report by NCHS, approximately 6% of women in the United States married for the first time before their 18th birthday, and 50% of women married by their 25th birthday. 74% of women married by their 30th birthday.The probability of a family with two daughters marrying at different ages is asked in the question. The probability that both daughters will be married by the ages of 18, 25, and 30 will be determined
The question requires finding the probability that both daughters of a family will be married by the ages of 18, 25, and 30 respectively. Since each daughter's wedding is a separate event, the individual probability of a daughter marrying at a given age will be determined separately and then multiplied together to get the probability of both daughters being married at the given age. So, let's find the probabilities of each daughter marrying at a given age:
Probability of one daughter getting married by 18 years:
As per the brief report, 6% of women in the United States married before the age of 18.
Therefore, the probability of one daughter getting married before the age of 18 is 0.06
Probability of one daughter getting married by 25 years:
As per the brief report, 50% of women in the United States get married by the age of 25. Therefore, the probability of one daughter getting married by 25 years is 0.5.
Probability of one daughter getting married by 30 years:
As per the brief report, 74% of women in the United States get married by the age of 30. Therefore, the probability of one daughter getting married by 30 years is 0.74.
The probability of both daughters getting married at the same age is the product of each daughter's probability of getting married at that age.
The probability that both daughters will get married before the age of 18 is:
P(both daughters married at 18 years) = P(daughter1 married at 18) × P(daughter2 married at 18)= 0.06 × 0.06= 0.0036
The probability that both daughters will get married by the age of 25 is:
P(both daughters married at 25 years) = P(daughter1 married at 25) × P(daughter2 married at 25)= 0.5 × 0.5= 0.25
The probability that both daughters will get married by the age of 30 is:
P(both daughters married at 30 years) = P(daughter1 married at 30) × P(daughter2 married at 30)= 0.74 × 0.74= 0.5476
The probability that in a family with two daughters, both will be married before the age of 18 is 0.0036. The probability that both daughters will be married by the age of 25 is 0.25. Finally, the probability that both daughters will be married by the age of 30 is 0.5476.
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Round to ONE decimal place. Map measurement: 7 inches Map scale: 1:250,000 Earth distance: miles
Answers
the Earth distance represented by 7 inches on a map with a scale of 1:250,000 is approximately 27.7 miles.
To convert the given measurements from inches to miles, we will use the given map scale, 1:250,000.1:250,000 represents one unit on the map to 250,000 units on Earth.
Let's convert the given measurement, 7 inches, to miles:
1 inch = 1/63,360 miles (approximately)7 inches = 7/63,360 miles (approximately)
Now, we will use the map scale to convert the Earth distance to miles:
1:250,000 = 1 unit on map: 250,000 units on Earth
Earth distance = 250,000 × (7/63,360) miles
Earth distance = 27.7 miles (approximately)
Therefore, the Earth distance represented by 7 inches on a map with a scale of 1:250,000 is approximately 27.7 miles.
Rounded to one decimal place, the answer is 27.7 miles.
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