A car with an initial value of $20,000 is purchased. The value of the car
depreciates (decreases) at a rate of 20% per year. Which equation(s) from
the list below correctly represents the value of the car over time, with
t
Answers
Answer:
Second and third one
Step-by-step explanation:
2 nd and third one ( are the same equation)
Related Questions
HELP PLEASEEEE
The table below shows the
values for the function y = f(x).
Answers
The answers are:
Second option, evaluating x=-1
[tex]g(-1)=-2[/tex]
Fifth option, evaluating x=6
[tex]g(6)=\frac{3}{2}[/tex]
Why?We are given a table that shows the values for the given function (f(x), and we are asked to find the solution of an equivalent function (g(x)).
We have that:
[tex]g(x)=\frac{1}{2}f(x)[/tex]
Now, evaluating we have:
For x=-3
[tex]g(-3)=\frac{1}{2}f(-3)=\frac{1}{2}*5=2.5[/tex]
We have the values (-3,2.5) so, it's not part of the solutions to the function g(x).
For x=-1
[tex]g(-1)=\frac{1}{2}f(-3)=\frac{1}{2}*-4=-2[/tex]
We have the values (-1,-2) so, it's part of the solutions to the function g(x).
For x=0
[tex]g(0)=\frac{1}{2}f(0)=\frac{1}{2}*2=1[/tex]
We have the values (0,1) so, it's not part of the solutions to the function g(x).
For x=5
[tex]g(5)=\frac{1}{2}f(5)=\frac{1}{2}*-8=-4[/tex]
We have the values (5,-8) so, it's not part of the solutions to the function g(x).
For x=6
[tex]g(6)=\frac{1}{2}f(6)=\frac{1}{2} *3=\frac{3}{2}[/tex]
We have the values [tex](6,\frac{3}{2})[/tex] so, it's part of the solutions to the function g(x).
Hence, we have that the answers are:
Second option, evaluating x=-1
[tex]g(-1)=-2[/tex]
Fifth option, evaluating x=6
[tex]g(6)=\frac{3}{2}[/tex]
Have a nice day!
The mean per capita consumption of milk per year is 144 liters with a variance of 484. If a sample of 183 people is randomly selected, what is the probability that the sample mean would be less than 146.58 liters? Round your answer to four decimal places.
Answers
Answer:
12144
Step-by-step explanation11213123:
NO LINKS!!
Fill in the chart. (Round to the nearest penny)
Answers
=============================================================
Explanation:
If the money is compounded semiannually at a rate of 8%, then this means the multiplier (common ratio) is b = 1+r/n = 1+0.08/2 = 1.04
r = 0.08 = 8% annual interest raten = 2 = compounding twice a year, aka semiannually, aka every 6 months.In short, b = 1.04 is our growth multiplier. It says that the money is growing by 4% each 6 month period. Each time x goes up by 1, y increases by 4%. The starting amount is a = 2100 dollars.
We go from the template of [tex]y = ab^x[/tex] to [tex]y = 2100(1.04)^x[/tex]
Use that equation to fill out the table. For instance, if x = 2 then,
[tex]y = 2100(1.04)^x\\\\y = 2100(1.04)^2\\\\y = 2100(1.0816)\\\\y = 2271.36\\\\[/tex]
Meaning that after 2 semiannual periods (aka 2*6 = 12 months = 1 year), we'd have $2,271.36 in the account.
Repeat this for the other x values mentioned to get the table shown below. To fill out the final column of the first row, you'll look at the very bottom of the table in the previous column. Four semiannual periods is equal to 2 years.
--------------
These steps are repeated for the second row of the table.
This time the growth multiplier is b = 1 + r/n = 1 + 0.14/12 = 1.0116667 approximately. The starting amount is a = 700
So that's how we go from [tex]y = ab^x[/tex] to [tex]y = 700(1.0116667)^x[/tex]
Like before, you'd plug in the various x values to find their paired y counterparts.
Example:
Plug in x = 18
[tex]y = 700(1.0116667)^x\\\\y = 700(1.0116667)^{18}\\\\y = 700(1.2321801)\\\\y = 862.52607\\\\y = 862.53\\\\[/tex]
The values are approximate. After 18 months, aka 18/12 = 1.5 years = 1 yr + 6 months, we'd have about $862.53 in the account.
NO LINKS!!!
Use both the intercepts and end point behavior to explain why the following isn't a graph of f(x)= x^5 - x.
Answers
Factor x^5 - x to get x(x^4 - 1) = x(x^2-1)(x^2+1) = x(x-1)(x+1)(x^2+1)
We see that x = 0, x = 1 and x = -1 are the real number roots or x intercepts. Ignore the complex or imaginary roots. Unfortunately, the graph shows the x intercepts as -2, 0 and 2 which don't match up.
So there's no way that the given graph matches with f(x) = x^5-x.
-------------------
As more proof, let's consider the end behavior.
As x gets really large toward positive infinity, x^5 will do the same and so will x^5-x. Overall, f(x) will head off to positive infinity. Visually, moving to the right will have the graph move upward forever. This is the complete opposite of what is shown on the graph.
Likewise, the left endpoint should be aimed down instead of up. This is because x^5-x will approach negative infinity as x heads to the left.
In short, the graph shows a "rises to the left, falls to the right" end behavior. It should show a "falls to the left, rises to the right" pattern if we wanted to have a chance at matching it with x^5-x. Keep in mind that matching end behavior isn't enough to get a 100% match; however, having this contradictory end behavior is proof we can rule out a match.
I recommend using Desmos, GeoGebra, or whatever graphing program you prefer to plot out y = x^5-x. You'll get a bettter idea of what's happening.
Answer:
The answer it attached below :)
Sorry it took so long!
Please show your work, tysm :D
~giving brainliest!~
Answers
Answer:
. 0625
Step-by-step explanation:
1/2^4
or
1/16
just doing half life
The inequality 6 -fx < x - 9 is equivalent to
Answers
Answer:
f<−1+15/x
Step-by-step explanation:
Sal and Zack built a scale model of the Texas Capitol using a scale in which 2 inches represents 8 feet. The height of the Texas Capitol is 312 feet.
Problem
What is the height of the scale model in inches?
Answers
39/2=78
The scale model will be 78 inches.
In AWXY, the measure of ZY=90°, XW = 5, YX = 4, and WY = 3. What ratio
represents the cotangent of ZX?
X
5
4.
Y
W
3
Answers
Given:
In Δ[tex]WXY,m < Y=90^o,WY=3,XW=5[/tex] and [tex]YX=4[/tex].
To find:
The ratio represents the cosine of ∠[tex]W[/tex].
Solution:
In Δ[tex]WXY,m < Y=90^o[/tex]. It means the opposite side of angle Y, i.e., XW is the hypotenuse of the triangle.
In a right angle triangle,
[tex]cos0=\frac{Base}{Hypotenuse}[/tex]
In the given triangle,
[tex]cosW=\frac{XY}{YW}[/tex]
[tex]cosW=\frac{3}{5}[/tex]
Therefore, the required cosine ratio is [tex]\frac{3}{5}[/tex].
find the least common denominator for thes two ratioal expression -1/y 2/5yfind the least common denominator for thes two ratioal expression -1/y 2/5y
Answers
Answer: it is -1, because y has no more complete prime factors
Step-by-step explanation:
2. Find m angle 1
73
88
60
80
Answers
Answer:
88°
Step-by-step explanation:
RULES:
angles on a straight line add up to 180 degreesangles in a triangle add up to 180 degreesso.
because of rule 1, we do 180-120 to get 60, to get that right corner angle. Now, we know 2 angles. So, (because of rule 2), we can do 60+32 = 92, and 180-92 = 88
So, 1 = 88
Hope this helps! If it doesn't make sense, feel free to ask me to explain it further.
- profparis
5-16 Find the general indefinite integral.
15. [tex]\int \frac{1-\sin ^{3} t}{\sin ^{2} t} d t[/tex]
Answers
Simplify the integrand
[tex]\dfrac{1-\sin^2(t)}{\sin^2(t)} = \dfrac{\cos^2(t)}{\sin^2(t)} = \cot^2(t)[/tex]
Recall the derivative of csc(t),
[tex]\dfrac d{dt} \csc(t) = -\cot^2(t)[/tex]
It follows that
[tex]\displaystyle \int \frac{1-\sin^2(t)}{\sin^2(t)} \, dt = \int \cot^2(t) \, dt = \boxed{-\csc(t) + C}[/tex]
Convert the exponential to a logarithmic form: 10^4 = 10,000
Question 1 options:
A)
log 10 = 4
B)
log 4 = 10
C)
log 10,000 = 4
D)
log 4 = 10,000
Answers
Answer:
C
Step-by-step explanation:
Exponential form is y = b^x, with b as the base, and logarithmic form is x = log_b(y).
In this case, 10 is the base, 4 is x, and 10,000 is y. In logarithmic form, this can be changed into 4 = log_10(10,000). Logarithms with base 10 can also be written as 4 = log(10,000). Therefore C is the correct answer.
Joseph walks 10 times around the track at a rate of x laps per hour. She runs eight times around the track of a rate of 3X laps per hour. Write and simplify an expression for the total time it takes him to go around the track 18 times
Answers
The expression for the total time is:
T = (324/34x).
How to get the expression?He does 18 laps in total.
8 laps at a rate of 3x10 laps at a rate of x.The average rate for the whole 18 laps is the average of the rates (taking in account the number of laps made with each) so we get:
average rate = (8/18)*3x + (10/18)*x = (34x/18)
This means that he does (34x/18) laps per hour.
Then, the time needed to do 18 laps is:
T = (18/(34x/18)) = (324/34x).
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Determine if x + 3 is a factor of -3x^3+6x^2+6x+9 How do you know
Answers
Answer:
x+3 is not a factor
Step-by-step explanation:
A graphing calculator shows the expression has a zero at x=3 and no other real zeros. If x+3 were a factor, there would be a zero at x = -3.
x+3 is not a factor of the expression.
_____
You can check to see if x+3 is a factor by evaluating the expression for x=-3. If (x+3) is a factor, x=-3 will make the function be zero.
3(-x³ +2x² +2x +3) = 3(((-x +2)x +2)x +3) = 3(((-(-3)+2)(-3) +2)(-3) +3)
= 3((-15+2)(-3) +3) = 3(39 +3) = 126 ≠ 0
The expression evaluates to 126 at x=-3, so x+3 is NOT a factor.
A data lists the number of hours each students from finance class studied for midterm. For this data set, the minimum is 3, the median is 6, the third quartile is 9, the interquartile range is 5, and the maximum is 17. Construct a box-and-whisker plot that show the number of hours studied. Begin by first placing the middle dots on the median. Then work on placing the test of the point starting with the ones closest to the median
Answers
Answer:
12
Step-by-step explanation:
this question asked us to find the given data points. Given this data set, what we know that the minimum is the smallest value, which is simply gonna be five. We know the media is gonna be the middle about you. We have to middle values seven and nine. Therefore, we couldn't find the average of the sum plus nine divided by two is eight. Now, we're looking for the first quarter mile. We know that we're gonna be averaging the middle values similarly to what we did for the media. So we have 10 plus 11 divide by two, which is 10.5, and then the maximum is simply the largest value, which is 12.
(Solve by matrix method): 5/x + 3y = 7, 7y -10/x = 12
Answers
Step-by-step explanation:
10 x + 6 y = -14 yes
21 x - 6 y = 39 yes
add those two
31 x + 0 = 25
so
x = -25/31 yes
Now go back and use -25/31 in either of the original equations to get y
5 (-25/31) + 3 y = -7
3 y = 125/31 -7
3 y = (125-217)/31
y = - 92/3
For a fixed loan amount, what happens to the monthly payment as the annual rate increases? a. as the annual rate increases, the monthly payment increases c. as the annual rate increases, the monthly payment stays the same b. as the annual rate increases, the monthly payment decreases d. no correlation Please select the best answer from the choices provided A B C D
Answers
Answer:
C
Step-by-step explanation:
looked up on Quizlet so yeah
Select the correct answer.
A triangle with vertices at A(0, O), B(O, 4), and C6, 0) is dilated to yield a triangle with vertices at A(0, 0), B(0, 10), and C(15, 0). The origin is
the center of dilation. What is the scale factor of the dilation?
O A. 1.5
O B. 2
O C. 2.5
© D. 3
Answers
The scale factor of the dilation is 2.5.
What is scale factor?A scale factor is a number that is used to change the size of shapes in geometry. It is the ratio of the length of a new shape to the length of the original shape.
Given that, a triangle with vertices, A(0, 0), B(0, 4), and C(6, 0) is dilated to yield a triangle with vertices at A(0, 0), B(0, 10), and C(15, 0).
We need to find the scale factor,
Taking the coordinates of B,
B(0, 4) → B(0, 10)
Scale factor = 10/4 = 2.5
Hence, the scale factor of the dilation is 2.5.
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Factor out the greatest common factor from the following polynomial.
3 2
15a + 3a + 1
Answers
In the figure below, parallelogram STXY is congruent to parallelogram UTWV.
If mTXY = 118°, what is mXTW?
A.
62°
B.
60°
C.
56°
D.
124°
Answers
Answer:
The correct answer is C.56.
Hope this helps you czn!!!!
Please Mark me as Brainleast!!!!!!!!
Help me pls I am not sure about this
Answers
Answer: the answer is c which is 61 ¾ inches .
Step-by-step explanation: what I did that I made 62 ½ minus ¾ and it gave 61 ¾ inches, to know how many inches did she grew at the beginning of the year . I hope my answer is correct . Please give brainliest . Thanks .
=
An apple costs twice as much as a banana.
Using the equations 2a + 4b = 2.00 and
a=2b, where a is the cost of one apple
and b is the cost of one banana, what are
a and b?
zat 45:28
=
A a= $0.25; b = $0.25
(B) a= $0.25; b = $0.50
C a= $0.50; b = $0.25
=
D a= $0.50; b = $0.50
10. Which statement is false?
Answers
Answer:
C is true
Step-by-step explanation:
The only true answer is C.
If a is 2 times greater than b, then:
A. is not possible because both sides are equal
B. is not possible because b is 2 times greater
D. is not possible because both sides are equal
What is the power set of s={1,2,3,4,5}
Answers
The power set P(X) of a finite set X is the set of all possible subsets of X. If X has n elements, then it has a total of 2ⁿ subsets.
For the set S = {1, 2, 3, 4, 5}, we have
• subsets with cardinality 0:
{ } (the empty set)
• subsets with cardinality 1:
{1}, {2}, {3}, {4}, {5}
• subsets with card. 2:
{1, 2}, {1, 3}, {1, 4}, {1, 5}, {2, 3}, {2, 4}, {2, 5}, {3, 4}, {3, 4}, {4, 5}
• subsets with card. 3:
{1, 2, 3}, {1, 2, 4}, {1, 2, 5}, {1, 3, 4}, {1, 3, 5}, {1, 4, 5}, {2, 3, 4}, {2, 3, 5}, {2, 4, 5}, {3, 4, 5}
• subsets with card. 4:
{1, 2, 3, 4}, {1, 2, 3, 5}, {1, 2, 4, 5}, {1, 3, 4, 5}, {2, 3, 4, 5}
• subsets with card. 5:
{1, 2, 3, 4, 5}
Then P(S) is the set containing all of these sets,
{{}, {1}, {2}, {3}, …, {1, 2, 3, 4, 5}}
I need help pls I need to get to 80%
Answers
Answer:
False (no)
Step-by-step explanation:
A polygon needs at least three straight sides and angles
I hunder percent agree.
Answers
I too hunder percent agree
A size 8 kid shoe measures 9 inches. If 5 pairs of size 8 kids shoes are lined end to end, then how many inches will they cover?
Answers
9x5= 45 inches
A: 45 inches
Please give me brainliest
please solve 2 quickly
Answers
Answer:
The maximum is ¼the minimum is ⅕Step-by-step explanation:
Have a great day✧◝(⁰▿⁰)◜✧Mac has taken seven maths exams this year. His average mark is 78%. What mark must he get on the eighth exam to raise his average to 80%?
Answers
Answer:
94
Step-by-step explanation:
7*78 + x = 8*80
x = 94
Or, think that he was short 2 points on each of 7 tests, so he has to make them all (14) up on the last test.
The width of a golden rectangle is 15 feet. Find the perimeter of the rectangle to the nearest foot
39 feet
64 feet
79 feet
72 feet
96 feet
Answers
In a golden rectangle, the sides of the rectangle are as per the golden ratio. The perimeter of the golden rectangle with a width of 15 feet is 79 feet.
What is a golden rectangle?In a golden rectangle, the sides of the rectangle are as per the golden ratio. The rectangle is given the name rectangle because of the fact that the ratio is the golden number 1.618.
In a golden rectangle, the sides of the rectangle are as per the golden ratio. Since the width of the rectangle is 15 feet, therefore, the length of the rectangle will be 1.618 times the width,
Length of the rectangle = 1.618 × 15 feet = 24.27 feet
Now, the perimeter of the rectangle can be written as,
[tex]\rm \text{Perimeter of the rectangle} = 2(Length+ Width) \\\\\text{Perimeter of the rectangle} = 2(24.27+15)\\\\\text{Perimeter of the rectangle} = 78.54 \approx 79\ feet[/tex]
Hence, the perimeter of the golden rectangle with a width of 15 feet is 79 feet.
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Can you please help ni
Answers
Answer:
0.0833... inches longer or 1/12
Step-by-step explanation:
7/12=0.583
1/2 but multiplied by 6 is 6/12
so 7/12-6/12=1/12 longer or 0.0833-