The future value after 4 years will be $8156.49 if the value of the car today is $13,000 but will lose 11% of its value each year for the next several years.
What is future value?Based on an estimated growth rate, the future value is the amount that an asset will be valued at a future date. The computation assumes that at the start date, a fixed amount of cash is made available for investment and that it increases at a constant rate until the selected future date.
We have:
Current value of the car = $13,000
Depreciation rate = 11%
Time n = 4 years
[tex]\rm Future \ value = (value \ at \ present) ( 1- \dfrac{depreciation \ rate}{100})^n[/tex]
[tex]\rm Future \ value = (13000)(1-\frac{11}{100} )^4[/tex]
Future value = $8156.49
Thus, the future value after 4 years will be $8156.49 if the value of the car today is $13,000 but will lose 11% of its value each year for the next several years.
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Three men build a wall in 10 hours how many men would be needed to build a wall in 71/2h
Answer: 4 men to build it in 7.5 hrs
Step-by-step explanation:
Which is equal to ???
Answer:
Answer = tan 3pi/10
Step-by-step explanation:
Hope that helps! :)
The radius of a circle is 2 inches. What is the area of a sector bounded by a 90° arc?
Answer:
28.27
Step-by-step explanation:
π x 6^2 x 90/360 = 28.27
What percent of -0.57 is greater than 34
Answer:
the answer is 97.5%
Step-by-step explanation:
HELP!!! THESE ARE DO TODAY
Answer:
72
Step-by-step explanation:
First, we should probably break this shape down into 2 easier to work with shapes. The dimensions of these will be 4*9 and 6*6. I get 6 because when you break 4*9 off, you're also taking 4 off from the 10, giving you 6. Now just multiply and then add the area of both shapes. 4*9=36, and 6*6=36. 36+36=72, so that's your answer.
Hope this helps!
A motorcycle that regularly sells for 1,450 was discounted by 40% off
Answer:
$870.00 is the motorcycle price after a 40% discount
Step-by-step explanation:
discount = original price x discount % / 100
discount = 1450 x 40 / 100
discount = 1450 x 0.4
discount = $580.00
Final Price = Original Price - Discount
Final Price = 1450 - 580
Final Price = $870
Find the equation of a line that passes through the points (2,5) and (2,12)
We know the following:
[tex]\text{Slope formula} = \dfrac{(y_2 - y_1)}{(x_2 - x_1)}[/tex]
Note: Slopes can only be determined if the lines are not vertical.
Since the x-coordinate of the points that pass through the line are the same, when the points are substituted in the slope formula, the slope will result in "undefined" (Work shown below).
[tex]\text{Slope formula} = \dfrac{12 - 5}{2 - 2}[/tex]
[tex]\text{Slope formula} = \dfrac{7}{0} = \text{unde}\text{fined} \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ [\text{Any non-number divided by 0 is unde}\text{fined}][/tex]
Now, let's see if the vertical line will intersect the x-axis or a y-axis.
Determining if the line will intersect the x or y-axisTo determine if the vertical line will intersect the x or y-axis, we must look for the intersection of the line on the x or y-axis. The vertical line will be parallel to the y-axis and will intersect the x-axis.
Therefore, the line will intersect the x-axis.
Replacing values in an equation:Since the line does not intersect the y-axis, the equation of the line on the left-hand side will have an x-variable.
⇒ x = ?
The x-intercept will be substituted on the right-hand side of the equation. Since the line that passes through the two points [(2,5) and (2,12)] have the "2" as their x-coordinates, the x-intercept will also be 2. Therefore,
⇒ x = 2
in the figure, p||q. On a recent math test, Jacob incorrectly listed the value of w as 101.
Find the value of w.
What mistake did Jacob likely make?
Answer:
x = 79
Step-by-step explanation:
Part A:
It's stated that line p and line q are parallel, if it is so then the angle represented with w and the angle with measure 79 are alternate and their measure is equal to each other:
Part B:
Jacob likely thought angle represented with W and the angle with the measure 101 are alternate so he made a mistake and found wrong result.
Pls help I have no idea what any of this is.
Answer:
Sine is an Odd B answer
Step-by-step explanation:
So basically it's B
Text book
I need a answer quick!
Answer:
I normally just plug these into desmos.
Step-by-step explanation:
John is going to plant spinach in a rectangular area of his garden. The rectangle is 11 feet long and 7 feet wide. What is the area of this rectangle?
Answer:
The area of rectangle is 77 sq ft.
11 x 7 = 77
Felicity has two $10 and a $5 bill. She spends
$8.20 on a game and $4.80 on a poster.
How much money does she have left?
Answer:
$12
Step-by-step explanation:
8.20 plus 4.80 would equals 13
so 13 subtracted by 25 equals 12
Answer answer question please
Answer:
Step-by-step explanation:
3 and 2/5
(aka A)
Answer:
a
Step-by-step explanation:
it says 3 and 2/5ths
hope this helps
sophia
Question 3 of 10
Which equation represents the slope-intercept form of the line below
Answer:
[tex]y = \frac{1}{2}x + 8[/tex]
Step-by-step explanation:
The general slope-intercept equation is: y = mx + b.
In this equation, "m" is equal to the slope and "b" is equal to the y-intercept.
Since the slope is "1/2", then this is the "m" value.
Since the line passes the y-axis at "8" when x = 0, then "b" must be "8".
Therefore, the equation of the function in slope-intercept form is [tex]y = \frac{1}{2}x + 8[/tex].
Hey does any body know how i can approximate 13 like this had this homework but it got late on me.
Answer:
(see attachment)
To approximate the square root of 13:
Working from the top down...
Enter the number you are trying to approximate in the top box: [tex]\boxed{\sf \sqrt{13}}[/tex]
Find the perfect squares directly below and above 13.
Perfect squares: 1, 4, 9, 16, 25, 36, ...
Therefore, the perfect squares below and above 13 are: 9 and 16
Enter these with square root signs in the next two boxes: [tex]\boxed{\sf \sqrt{9}}[/tex] and [tex]\boxed{\sf \sqrt{16}}[/tex]
Carry out the operation and enter [tex]\boxed{\sf 3}[/tex] and [tex]\boxed{\sf 4}[/tex] in the next two boxes.
Enter the number you are trying to square root (13) in the top left box, the perfect square above it (16) in the box below, then the perfect square below it (9) in the two boxes to the right of these. Carry out the subtractions and place the numbers in the boxes to the right.
[tex]\dfrac{\boxed{\sf 13}-\boxed{\sf 9}}{\boxed{\sf 16}-\boxed{\sf 9}}=\dfrac{\boxed{\sf 4}}{\boxed{\sf 7}}[/tex]
Now enter the number you are trying to square root (13) under the square root sign. Place the square root of the perfect square below it (3) in the box to the right. Copy the fraction from above (4/7). Finally, enter this mixed number into a calculator and round to the nearest hundredth.
[tex]\sf \sqrt{13}=\boxed{\sf3}\dfrac{\boxed{\sf 4}}{\boxed{\sf 7}}=\boxed{\sf3.57}[/tex]
The data set shows the weights of pumpkins, in pounds, that are chosen for a photograph in a farming
magazine
18 22 14 30 26
(a) What is the mean of the data set?
Hey there!
What is the mean of the data set?
Answer :22 ✅
Explanation:You first have to know what is a mean (or average) :
MEAN : Sum of values divided by the number of values.
[tex] \text{mean} = \frac{sum \:of\: the \:values}{number \: of \: values} \\ \\ \Longrightarrow \frac{18 + 22 + 14 + 30 + 26}{ 5 } \\ \\ \Longrightarrow \frac{110}{5} \\ \\ \Longrightarrow \red{\boxed{\blue{22}}} [/tex]
Therefore, the mean of the data set is 22.
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Have a good day :)
The mean can be calculated by determining the sum of the chosen pumpkins and dividing it by the total pumpkins chosen for the photograph.
Sum of the chosen pumpkins: 18 + 22 + 14 + 30 + 26Total pumpkins chosen: 5 pumpkinsTherefore, the fraction that represents the mean is:
[tex]\dfrac{18 + 22 + 14 + 30 + 26}{5}[/tex]
When we simplify the fraction, we get:
[tex]\implies \dfrac{18 + 22 + 14 + 30 + 26}{5}[/tex]
[tex]\implies \dfrac{40 + 14 + 30 + 26}{5}[/tex]
[tex]\implies\dfrac{70 + 14 + 26}{5}[/tex]
[tex]\implies\dfrac{70 + 40}{5}[/tex]
[tex]\implies\dfrac{110}{5} = 22[/tex]
Therefore, the mean of the data set is 22.
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would very much appreciate it if you guys helped out
Which sample distribution is most likely to be from this population distribution?
Answer:
option A is the mostly likely to be population distribution
The distribution (A) is a distribution that is most likely to be from this population distribution option (A) is correct.
What is a normal distribution?It's the probability curve of a continuous distribution that's most likely symmetric around the mean. On the Z curve, at Z=0, the chance is 50-50. A bell-shaped curve is another name for it.
It is given that:
The normal distribution or bell curve is shown in the picture.
As we can see in the picture the distribution is distributed 50 - 50 % along the median line or mean line.
The distribution is most likely to be from this population distribution is shown in option (A).
Thus, the distribution (A) is a distribution that is most likely to be from this population distribution option (A) is correct.
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Six statements were made about the figures below. Record the letter of the 3D figure that matches each student’s statement.
The answer will be 1-sphere,2-Triangular pyramid,3-cube,4-Triangular prism,5-Cylinder,6-Rectangular pyramid
What are the figures?The figures can be sphere, cylinder, cube,pyramid,prism etc.We have to match the description with their correct solid name.
figure where all points are the same distance from the center, is called sphere.
1-sphere
figure made of all triangles.That figure is called a triangular pyramid.
2-Triangular pyramid
figure with six congruent squares is called a cube.
3-cube
figure with two triangle bases and rectangles for the rest of its faces.That figure is called a triangular prism.
4-Triangular prism
figure with circular bases is called a cylinder.
5-Cylinder
figure with a rectangle as a base and a triangle for the rest of its bases.
That figure is called a rectangular pyramid.
6-Rectangular pyramid
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The parent teacher association is raising money for a new swing set. They need $682.56 to purchase the swing set and receive a $200.00 donation. The remaining amount will be equally divided among 8 different student groups to raise. How much money will each student group need to raise in order to purchase the swing set? Record your answer to the hundredths place.
Answer:
Total amount to be raised by the 8 student groups = Total amount required - Donation = $682.56 - $200.00 = $482.56Amount to be raised bu each group ...
Step-by-step explanation:
Find the volume of the cylinder.
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[tex]\blue\textsf{\textbf{\underline{\underline{Question:-}}}}[/tex]
What is the volume of the cylinder?
[tex]\blue\textsf{\textbf{\underline{\underline{Answer and how to solve:-}}}}[/tex]
[tex]\textsf{Volume of a Cylinder:-}[/tex]
[tex]\dashrightarrow\boxed{\bold{V=\pi r^2h}}}\dashleftarrow[/tex]
Where
V = volume
π = pi (3.14...)
r=radius
h=height
Given:-
r=5
h=6
Notice that we're asked to use 3.14 for π.
Plug in the values:-
[tex]\bold{V=3.14 (5^2)(6)}[/tex]
On further simplification,
[tex]\bold{V=3.14(25)(6)}[/tex]
[tex]\bold{\underline{V=471}}[/tex] units³
Good luck.
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HELP!!!
Mrs. Nestler enjoys listening to classical music. She has the following audio CDs by her favorite composers in her collection: 4 by Bach, 6 by Beethoven, 3 by Brahms, and 2 by Handel. If she selects 4 CDs randomly from her collection without replacing them, what is the probability that she will choose one by each composer?
A. 16/5625
B. 16/455
C. 2/5625
D. 2/455
(The answer choices, A, B, C, and D are FRACTIONS!)
Using the combination formula, it is found that the probability that she will choose one by each composer is given by:
144/1365.
What is the combination formula?[tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by:
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
In this problem, she will pick 4 CDs from a set of 4 + 6 + 3 + 2 = 15, hence the total number of options is given by:
[tex]C_{15,4} = \frac{15!}{4!11!} = 1365[/tex]
The number of options that include one from each is given by:
N = 4 x 6 x 3 x 2 = 144.
Hence the probability is given by:
p = 144/1365.
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A container built for transatlantic shipping is constructed in the shape of a right rectangular prism. Its dimensions are 8.5 ft by 15 ft by 14 ft. If the container is entirely full and, on average, its contents weigh 0.05 pounds per cubic foot, find the total weight of the contents. Round your answer to the nearest pound if necessary
Answer:
empezando multiplicar todos los números seria un total de 1785 que lo pondremos con m3 que un metro cubico seria 1000L entonces con los 1785 los ponemos por 1 000
Step-by-step explanation:
respuesta 1 785 000
Drag each line to the correct location on the image. Not all lines will be used.
Match the lines of best fit to the scatter plots.
Answer:
I am not sure if this is correct but:
Step-by-step explanation:
Question 1 (10 points)
Solve the system of the linear equations with three variables:
x + y + 3z = 3
2x + y +6z = 2
2x- y + 3z = -7
Answer:
x= -2 y = 4 z = 1/3 solve by using gauss elimination or Cramer's rule, or matrix inversion method or row equivalent matrix method
How many quarts of a 50% acid solution must be added to 20 quarts of a 20% acid
solution to obtain a 40% acid solution?
Answer:
40 quarts
Step-by-step explanation:
The amount of additional 50% acid solution can be found by writing an equation for the amount of acid in the mix.
__
Let x represent the number of quarts of 50% acid solution that need to be added. The total number of quarts of acid in the 40% mix is ...
0.50x +0.20(20) = 0.40(x +20)
0.10x = 0.20(20) . . . . . . . subtract 0.40x +0.20(20)
x = 40 . . . . . . . . . . . . divide by 0.10
40 quarts of 50% solution must be added.
_____
Additional comment
That will make a total of 60 quarts of solution, of which 24 quarts (40%) are acid.
Step-by-step explanation:
while the other answer is correct, let me try to explain this in a different optical way :
50% means 50/100 = 1/2 = 5/10 of the substance is acid.
20% means 20/100 = 1/5 = 2/10 of the substance is acid.
40% means 40/100 = 2/5 = 4/10 of the substance is acid.
now, we want to find the quantity of x quarts that satisfies the desired balance :
x × 50% + 20 × 20% = (x + 20) × 40%
x × 5/10 + 20 × 2/10 = (x + 20) × 4/10
5x/10 + 4 = 4x/10 + 8
x/10 = 4
x = 40
so, yes, we need to add 40 quarts of the 50% solution.
that gives us 60 quarts, with 40% = 40/100 = 4/10 = 2/5 = being acid : 60 × 2/5 = 120/5 = 24 quarts
If the mean is 50 and the standard division is 10 what is the probability that a randomly selected item is between 20 and 60
Answer:
84%
Step-by-step explanation:
Okay, I want to work out the chance that was between 20 and 60. Other words will find the area. 20 2 60 this area here. And the answer is because the area under the curve is always one in total. So the workout p of 20, less than x. Less than 60 here. I need a calculator And the input on the TI 84 plus is as follows, you press the second blue button, second, followed by vars V A R S, that's by the arrow keys on the right, that brings up the menu for distributions and what you want is normal C D E F Number two on the list, so normal C D E F. You press enter and it was a lower upper, lower is 20 upper is 60. The mean is 50 and the standard deviation is 10, There's a four number input. So 20 for lower 60 for upper 50 for the mean And 10 for the s. d. Standard deviation so, and then paste that onto the screen and press enter and we get 0.83999. And hear what they want. There's a percent to have some more places.
Therefore, it will be 84.00 percent. The two decimal places
PLEASE HELP ANSWER BOTH PARTS!!! DUE SOON
Answer:
c. 69
b. 7
Step-by-step explanation:
Find the surface area of the pyramid. The side lengths of the base are equal.
Pls answer fast!
In the diagram, A||B and B||C. Find the values of X.
Answer:
31
Step-by-step explanation:
3x + 12 and 105 are alternate exterior angles because A || B and B || C.
If the two or more lines are parallel, then the alternate exterior angles are equal.
3x + 12 = 105
Substract 12 on both sides,
3x = 105 - 12
3x = 93
Divide 3 on both sides,
x = 93 / 3
x = 31