A certain car depreciates about 15% each year that car valued at $20,000 in 2005 will be worth $10,000 in approximately 4.96 years later, which is around the end of 2009.
To model the depreciation in value of a car that depreciates about 15% each year, we can use the formula:
[tex]V(t) = V(0) * (1 - r)^t[/tex]
where V(0) is the initial value of the car, r is the annual depreciation rate, t is the time in years, and V(t) is the value of the car after t years.
Using this formula, we can model the depreciation of a car valued at $20,000 as:
[tex]V(t) = 20000 * (1 - 0.15)^{t}[/tex]
To predict when this car will be worth $10,000, we can set V(t) to 10000 and solve for t:
[tex]10000 = 20000 * (1 - 0.15)^{t}[/tex]
Taking the natural logarithm of both sides, we get:
ln(0.5) = -0.15t * ln(e)
Simplifying this expression, we get:
t = ln(0.5) / (-0.15 * ln(e))
Using a calculator, we find that t is approximately 4.96 years.
Therefore, a car valued at $20,000 in 2005 will be worth $10,000 approximately 4.96 years later, which is around the end of 2009.
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Complete Question
A certain car depreciates about 15% each year. Write a function to model the depreciation in value for a car valued at $20,000. Predict when a car valued at $20,000 in 2005 will be worth $10,000.
what is the midpoint of (-7,5)(7,3)
Answer:
(1,4)
Step-by-step explanation:
Answer:
The correct answer is (0,4)
Step-by-step explanation:
Please answer.
The table represents the function f(x) = 2x+1
Which value goes in the empty cell?
A)3
B)5
C)8
D)23
Replace the x in the equation with the x value in tha table for the missing f(x) and calculate:
f(x) = 2x +1 = 2(2) +1 = 4 +1 = 5
The answer is B) 5
The table represents the function f(x) = 2x +1. The value goes in the empty cell is 5. The answer is B) 5.
What is a function?A function is a type of relation, or rule, that maps one input to specific single output.
The table represents the function
f(x) = 2x +1
Replace the x in the equation with the x value in the table for the missing f(x)
F( 2) = 2(2) +1
F( 2) = 4 +1
F( 2) = 5
The answer is B) 5
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The Roosevelts and the Jaspers live in the same city and pay the same sales
tax rate, and both families made $16,000 in taxable purchases last year, if the
Roosevelts made $91.000 and the Jaspers made 37000 last year, is the
sales tax in their city an example of a regressive tax?
Answer:
Yes, because the Jaspers paid a higher percentage of their income in sales tax than the Roosevelts did.
Step-by-step explanation:
Regressive tax is a constant, instead of a percentage of income. Those with a lower income would pay a higher percentage of their income. Both families, irregardless of income, paid $16,000 in taxes.
APEX
Answer:
Yes, because the Jaspers paid a higher percentage of their income in sales tax than the Roosevelts did.
Step-by-step explanation:
A regressive tax is one that collects a smaller percentage of the income as the person earns more. That is to say that at higher profit or higher income, the percentage of taxes that must be paid on the total tax base is lower.
In this way the poor are relatively more affected than the rich.
The Roosevelts made $91.000 (high income)
The Jaspers made $37.000 (low income)
But both paid the same sales tax rate of $16,000.
This type of tax does not have a redistribution effect of wealth. On the contrary, if it is a very high tax, it can accentuate inequality in a society.
Sal wants to build a robot. He puts a sphere on top of a cylinder.what will probably happen?
Answer:
It depends on which side of the cylinder. If she puts it on the curved side, it will roll off. If she puts it on the flat side and stabalizes it, it will stay in place if no further force is acted on it.
What is 5/6÷3/8 in simplelest form
For this case we must simplify the following expression:
[tex]\frac {\frac {5} {6}} {\frac {3} {8}} =[/tex]
Applying double C we have:
[tex]\frac {5 * 8} {6 * 3} =\\\frac {40} {18} =[/tex]
Dividing numerator and denominator between 2:
[tex]\frac {20} {9}[/tex]
ANswer:
[tex]\frac {20} {9}[/tex]is the simplified form
Terri wrote the equation using slope-intercept form for the line that passes through the points (4, 6) and (–2, 3).
Which best describes Terri’s first error?
In step 1, the slope of the line should be 1/2.
In step 2, she should have substituted the point (4, 6).
In step 3, she should have subtracted 4 from both sides of the equation.
In step 4, the m and b values should be switched.
Answer:
Step 1 is incorrect.
Step-by-step explanation:
The slope = difference of y values / difference of x values so Step 1 is incorrect. The slope is (6-3)/ ((4 - (-2)) = 1/2. He worked out x differences / y differences.
Answer: A: In step 1, the slope of the line should be 1/2.
If a data set has 20 data values, the number of values in the upper quartile is ?
Answer:
the answer is 5.5
explanation:
just did the test
Answer: The uper quatile Q3=15.75
Step-by-step explanation:
Q3=3/4(N+1)
Q3=3/4(20+1)
Q3=3/4(21)
Q3=63/4
Q3=15.75
Which of the following statements shows a characteristic of a statistical question?
Answer:
For a question to be statistical it has to have a specific population, room for a clear response, and a variability in the data.
An example of a statistical question is, "What is the typical amount of time it takes for a piece of gum to lose its flavor?" This is statistical because it accounts for a clear response, population, and variability.
Answer:
The question asks for a quantitative response.
Step-by-step explanation:
I did the 8.01 test, C was the correct answer.
Good luck FLVS students
At the beginning of each school year, Madison Middle School orders new shirts for the entire student body. Each student receives
one shirt. Each shirt is the same price, s, and the school orders enough for n students. Which equation represents the
proportional relationship between P, the total price of the shirts, and the number of students?
NEED DONE NOW!!! WILL MARK BRAINLIEST
The equation representing the price of the shirt s, the number of students n and P is Option A.
sn = P
What is an Equation?
Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given data ,
Let the number of students be = n
Let the cost of each shirt be = s
The equation will be ,
So , the total cost of the shirt P = number of students x cost of each shirt
Total cost of the shirt P = n x s
So , the equation representing the proportional relationship is
P = ns
sn = P
Hence , The equation representing the price of the shirt s, the number of students n and P is Option A.
sn = P
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What is the value of tan B?
6/8
8/10
8/6
6/10
Answer:
8/6Step-by-step explanation:
[tex]tangent=\dfrac{opposite}{adjacent}\\\\\text{We have}\\\\opposite=8cm\\adjacent=6cm\\\\\text{substitute:}\\\\\tan B=\dfrac{8}{6}=\dfrac{8:2}{6:2}=\dfrac{4}{3}[/tex]
25. Find the area of the trapezoid. Leave your answer in simplest radical form. The figure is not drawn to scale.
please answer ASAP if you have the answers for the whole exam I'll take them to please
A.48cm^2
B.40cm^2
C.32cm^2
D.44cm^2
Answer:
Option D. [tex]44\ cm^{2}[/tex]
Step-by-step explanation:
we know that
The area of a trapezoid is equal to
[tex]A=\frac{1}{2}[b1+b2]h[/tex]
we have
[tex]b1=8\ cm[/tex]
[tex]b2=(4+8+2)=14\ cm[/tex]
[tex]h=4\ cm[/tex]
substitute the values
[tex]A=\frac{1}{2}[8+14](4)=44\ cm^{2}[/tex]
Answer:
D. 44cm^2
Step-by-step explanation:
a fish tank is shaped like a rectangular prism. It has a length of 5 feet, a width of 2 feet, and a height of 3 feet. what is the volume of the fish tank?
Answer:
30 ft
Step-by-step explanation:
It is 30 because to find the volume of a rectangular prism, you do
length x width x height.
So, 5 x 2 x 3 = 30.
To find the volume of a rectangular prism, multiply its length, width, and height. Thus, the volume of the fish tank measuring 5 feet in length, 2 feet in width, and 3 feet in height is 30 cubic feet.
Explanation:The volume of a rectangular prism such as a fish tank can be calculated by multiplying its length, width, and height together. For a fish tank with a length of 5 feet, a width of 2 feet, and a height of 3 feet, the volume calculation would look like this:
Volume = Length × Width × Height
Volume = 5 ft × 2 ft × 3 ft
Volume = 10 ft × 3 ft
Volume = 30 ft³
Therefore, the volume of the fish tank is 30 cubic feet.
A display of gift boxes has 1 box in the top row, 3 boxes in the next row, 5 boxes in the next row, and so on. There are 7 rows in all. How many gift boxes are in the display? Question 19 options: 64 boxes 47 boxes 36 boxes 49 boxes
Answer:
36 boxes
Step-by-step explanation:
For this case we have to increase two boxes each time we go to the next row. So:
1 row: 1
2 row: 3
3 row: 5
4 row: 7
5 row: 9
6 row: 11
7 row: 13
Adding the number of boxes we have:
[tex]1 + 3 + 5 + 7 + 9 + 11 + 13 = 49[/tex]
There are 49 boxes!
Answer:
Option D
Having trouble to find the answer help plssssss
Answer:
it is 20
Step-by-step explanation:
5 * 20 = 100
100 - 10 = 90 which equals a angle in a right angle triangle
Answer:
The value of x is 11 ⇒ answer B
Step-by-step explanation:
* lets check the properties of the square
- Its four aides are equal
- Its four angles are equal and the measure of each one is 90°
- Its diagonals bisect its vertices
∵ BD is a diagonal of the square
∴ BD bisects angle B
∴ m∠ABD = m∠CBD
∵ B is a vertex of the square
∴ m∠B = 90°
∴ m∠ABD = m∠CBD = 90 ÷ 2 = 45°
∵ m∠ABD = (5x - 10)°
∴ (5x - 10)° = 45° ⇒ add 10 to each side
∴ 5x = 55 ⇒ divide both sides by 5
∴ x = 11
* The value of x is 11
What is the constant to
I take it the constant in this case it'll just be the coefficient, thus
[tex]\bf -\cfrac{2a^3}{7}\implies \stackrel{\stackrel{constant}{\downarrow }}{-\cfrac{2}{7}}a^3[/tex]
Please help I will mark brainliest!!! (10 points)
Answer:
A: 700
B: 6400
C: 50
Step-by-step explanation:
A: You can multiply by 5
B: You can just multiply by 20.
C: Every 10% is 5, because 15(30%)/3 is 5. 5 times 10 is 50.
Answer:
a. h = 700
b. j = 6400
c. g = 50
Step-by-step explanation:
Translate each statement into an equation and solve the equation. Remember that to change a percent to a decimal, you divide the percent by 100, which is the same as moving the decimal point two places to the left. Also, a percent of a number means a percent times the number.
a. 20% of h is 140
20% * h = 140
0.2h = 140
Divide both sides by 0.2
h = 700
b. 5% of j is 320
5% * j = 320
0.05j = 320
Divide both sides by 0.05
j = 6400
c. 30% of g is 15
30% * g = 15
0.3g = 15
Divide both sides by 0.3
g = 50
Calculate the mean of this data set.
Answer:
The mean of the data set is 5.
Step-by-step explanation:
Add the numbers in the data set:
6+3+16+12+21+8+9
= 75
Then divide by the amount of values in the data set:
75/15
=5
The mean of this given data set is 15.
What is the mean of this data set?Given:
A data set is given in the image.Find:
The mean of the given data set.Solution:
A mean is the average of a data set.
We find the mean by adding all numbers together and then dividing the sum of the numbers by the number of numbers.
Now, a summation of number = 2+4+4+7+2+6+7+4+8+2+3+6+9+4+7 = 75
Now, there are total of 15 data given.
Therefore, mean = 75/15 = 5.
Hence, the mean of the given data set is 15.
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Expand the expression (5x + 3)2, and write the result in standard form.
Expand
2 × 5x + 2 × 3
Simplify 2 × 5x to 10x
10x + 2 × 3
Simplify 2 × 3 to 6
= 10x + 6
The expanded expression in standard form for the given equation is [tex]\(25x^2 + 30x + 9\).[/tex]
To expand the expression [tex]\((5x + 3)^2\)[/tex], we use the distributive property, which states that for any real numbers [tex]\(a\), \(b\), and \(c\):[/tex]
[tex]\((a + b)^2 = a^2 + 2ab + b^2\).[/tex]
In this case,[tex]\(a = 5x\)[/tex] and[tex]\(b = 3\)[/tex]. Substituting these values into the formula, we get:
[tex]\[(5x + 3)^2 = (5x)^2 + 2(5x)(3) + 3^2\][/tex]
Now, let's compute each term:
1.[tex]\( (5x)^2 = 25x^2 \) (since \((a)^2 = a \times a\)).[/tex]
2. [tex]\(2(5x)(3) = 30x\) (by multiplying \(2ab\) where \(a = 5x\) and \(b = 3\)).[/tex]
3. [tex]\(3^2 = 9\).[/tex]
Now, summing up all the terms, we get:
[tex]\[ (5x + 3)^2 = 25x^2 + 30x + 9 \][/tex]
So, the expanded expression in standard form is [tex]\(25x^2 + 30x + 9\).[/tex]
Complete question:
Expand the expression (5x + 3)2, and write the result in standard form.
Help and please show work
Answer:
5 unitsStep-by-step explanation:
The formula of a distance between two points:
[tex]d=\sqrt{(y_2-y_1)^2+(x_2-x_1)^2}[/tex]
We have the points (1, 2) and (-3, 5). Substitute:
[tex]d=\sqrt{(-3-1)^2+(5-2)^2}=\sqrt{(-4)^2+3^2}=\sqrt{16+9}=\sqrt{25}=5[/tex]
Use the Distributive Property to write each expression as an equivalent algebraic expression.
(7 + a)3
Answer:
21 + 3a
Step-by-step explanation:
3 (7+a)
distribute 3 into parentheses:
21 + 3a
The distributive property states that one should simplify the expression by multiplying each term inside the parentheses by the term outside of them:
3*7=21
3*a=3a
21+3a
Hope this helps!!
Work for 77.28 divided by 4.0
Answer:
19.32
Step-by-step explanation:
if 77.28 divided by 4.0 do long division and once you do that check yourself to see if you are correct
I hope I helped you guys! :)
Answer:
19.32
Step-by-step explanation:
A member of congress is interested in
whether her constituents favor a proposed
gun-control bill. Her staff reports that 361
letters on the bill have been received and
323 of these oppose the bill. What is the
sample size?
A. 684
B. 38
C. 361
D. 323
Answer:361
Step-by-step explanation:
The sample size in this scenario is defined by the total number of letters received by the member of Congress, regardless of their stance on the bill. Therefore, the sample size is 361.
Explanation:In statistics, the term 'sample size' refers to the number of observations or measurements used in a study or experiment. In this particular case, the member of Congress is interested in the views of her constituents on a proposed gun-control bill. The total number of letters received - regardless of whether those letters support or oppose the bill - forms the sample size.
In this context, the total number of letters is 361, so option C is the correct answer. It doesn't matter how many of these letters were in favor or against the bill; all of them constitute the sample. The number of letters opposing the bill (323) is a part of the total sample, not the sample size itself.
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solve for x: 6(4x+5)=3(x+8)+3
Answer:
x=-1/7
Step-by-step explanation:
6(4x+5)=3(x+8)+3
Distribute
24x +30 = 3x+24 +3
Combine like terms
24x+30 = 3x +27
Subtract 3x from each side
24x-3x+30 = 3x-3x+27
21x +30 = 27
Subtract 30 from each side
21x +30-30 = 27-30
21x = -3
Divide each side by 21
21x/21 = -3/21
x = -1/7
Answer:
-1/7
-0.14
Step-by-step explanation:
Which is true about the line whose equation is y + 3 = 0?
The slope is zero.
The y-intercept is 3.
The slope is 3.
The value of x always equals the value of y.
the value of x always equals zero
Answer:
The slope is zero.
Step-by-step explanation:
The y-int is -3, the slope can't be 3, and the value of x isn't equal to y, if it was the lines would be intersecting
What is the slope of the line passing through the points (9,7) and (4,-3)?
Answer:
2
Step-by-step explanation:
slope = m = (difference in y)/(difference in x)
m = (-3 - 7)/(4 - 9)
m = -10/(-5)
m = 2
Find area of a cone
Show work
Answer: 138.16 in²
Step-by-step explanation:
You need to use this formula to calculate the surface area of the cone:
[tex]SA = \pi r^2 + \pi rl[/tex]
Where "r" is the radius, "h" is the height and "l" is the slant height.
To find the height you need to use the Pythagorean Theorem:
[tex]a^2=b^2+c^2[/tex]
Where "a" is the hypotenuse and "b" and "c" are the legs of the triangle.
In this case:
[tex]a=l=7in\\\\b=r=\frac{8in}{2}=4in\\\\c=h[/tex]
("r" is the radius and "h" is the height and "l" is the slant height.)
You need to find "h". Then, solving for "h", you get:
[tex]h=\sqrt{(7in)^2-(4in)^2}\\h=5.74in[/tex]
Then, substituting values into the formula, you get:
[tex]SA = (3.14)(4in)^2 + (3.14) (4in)(7in)=138.16in^2[/tex]
Ron is slicing 5 pizzas each pizza slice is 1/8 of the pizza. How many pizza slices will be there in all
Answer:
there would be 40 slices of pizza
Step-by-step explanation:
If 5 pizzas each have 8 slices you multiply 5 X 8 which equals 40 slices
Answer:
there would be 40 slices of pizza.
Step-by-step explanation:
Ed decides to include more fruit in his diet he go to the grocery store over the weekend and buy six apples six oranges and six avocados the total cost is $19.50 write an equation
A=apple o=orange a=avocado
6A+6o+6a=19.50
Happy To Help! :D
Answer:
x + y + z = 3.25
Step-by-step explanation:
We are given that Ed buys six apples, six oranges and six avocados and their total cost is $19.50.
We are to write an equation representing this.
Assuming apples to be x, oranges to be y and avocados to be z, we can write it as:
[tex] 6 x + 6 y + 6 z = 1 9 . 5 0 [/tex]
Simplifying it by taking the common out to get:
[tex]x+y+z=3.25[/tex]
solve for X
x + 53 = 231
Answer:
x=178
Step-by-step explanation:
Since 53 is being added to x, you will subtract 53 from both sides. 231-53 equals 178, therefore x=178
How do i find quartiles, 1,2 and 3
Lower quartile=25% of total frequency/numbers in the data set
Median=50% of total frequency/numbers in the data set
Upper quartile=75% of total frequency/numbers in the data set
Hope this helps:)
Answer:
see explanation
Step-by-step explanation:
To obtain the quartiles arrange the data in ascending order
38, 47, 54, 60, 67, 68, 76, 77, 84, 89
Q₂ is the median
The median is the middle value in the data set. If there is no exact middle value then it is the average of the 2 values either side of the middle
Q₂ = [tex]\frac{67+68}{2}[/tex] = 67.5
Q₁ is the lower quartile and is the middle value of the data to the left of the median
Q₁ = 54
Q₃ is the upper quartile and is the middle value of the data to the right of the median
Q₃ = 77