Anna purchased a new car for $25,000. The car will decrease in value 15% each year.
The value of Anna's car is modeled on the graph by function f where x is the time in years after Anna purchases her car.
Answers
I will assume that we want to find the function that predicts the value of the car after x years, which likely is an exponential decay.
The function is: f(x) = $25,000*(0.85)^x
And the graph can be seen at the end of the answer.
We know that the value of the car decreases by 15% each year, then we can model this with an exponential decay.
The general exponential decay is given by:
f(x) = A*(1 - r)^x
Where:
A is the initial value, then we have A = $25,000
x is the variable, in this case, would represent time in years.
r is the rate of decay, in this case, is the quotient between the percentage that decreases and 100%, so we will get: r = 15%/100% = 0.15
Then the exponential equation is:
f(x) = $25,000*(1 - 0.15)^x
= $25,000*(0.85)^x
This is the function that models the value of the car after x years, the graph can be seen below.
If you want to learn more, you can read:
https://brainly.com/question/19599469
Related Questions
what is 32z-48 factored with gcf
Answers
Answer:
We found the factors and prime factorization of 32 and 48. The biggest common factor number is the GCF number. So the greatest common factor 32 and 48 is 16.
Step-by-step explanation:
What is the GCF of 32and 48?
16
Greatest common factor (GCF) of 32 and 48 is 16.
Help plzzzzzzzzzzzzzz
Answers
Answer:
∠E
Step-by-step explanation:
∠E is between PE and EN
Enter an equation to describe the linear relationship.
The temperature, y, of a pot of water is 45 °F. The temperature increases by 25 °F per minute,x , when being heated.
The equation is y=
Answers
(Need help ASAP)
How many solutions does the equation have:
3x - 5 = -5 + 3x
Answers
Answer:
Infinitely many
Step-by-step explanation:
Add 5 to both sides and subtract 3x on both sides. that results in 0=0. if the numbers are the same, than its infinitely many.
Answer:
0=0
Step-by-step explanation:
3x-5=-5+3x
0=0
Last year, Ivy's pant measured 12 inches. This year, her plant is 75% taller.
How many inches did her plant grow?
Answers
Answer:
The plant grew 9 more inches since last year.
Step-by-step explanation:
75% of 12 is 9 and the initial plant growth was 12 inches.
So, the plant grew 9 more inches since last year.
The plant is now 21 inches.
Answer:
9
Step-by-step explanation:
Divide 12 by 4 to get 25% = 3
25% x 3 = 75%
3 x 3 = 9
solve -1 < x + 1 ≤ 6
Answers
Answer:
-2<x≤5
Step-by-step :
-1<x+1≤6 So fisrt what every we do to one side we must do to the other. In this case it's a bit different since we are dealing with inequalities.
-1<x+1≤6 I would start off by isolating x in the middle.
-1<x+1≤6 I subtracted 1 from all three sides.
-1 -1 -1
Now your equation should look like this:
-2<x≤5 Now there is really nothing much we can do here since we were just trying to get x by its self.
Answer : -2<x≤5
Which expressions are equivalent to 5x?
(Didn’t expect the test to be this hard ;C)
A: 5x + 0
B: x (0) + 4x
C: x + (0 + 4x)
D: 4x + (1) x
E: 5x multiplied by 0
F: 5x (1)
Answers
Answer:
A, E, F
Step-by-step explanation:
Your welcome
Answer:
its a,d,c,e, and f
Step-by-step explanation:
28. How much plain yogurt will you need to make 2 1/2 dozen cookies? Show your work.
Answers
Answer:
[tex]\frac{5}{6}[/tex] cups
Step-by-step explanation:
Normally, when working with mixed numbers, I would prefer to turn them into improper fractions first before evaluating.
1 [tex]\frac{1}{2}[/tex] cookies --- [tex]\frac{1}{2}[/tex] cup plain yogurt
[tex]\frac{3}{2}[/tex] cookies --- [tex]\frac{1}{2}[/tex] cup plain yogurt
2[tex]\frac{1}{2}[/tex] cookies --- ? cup plain yogurt
[tex]\frac{5}{2}[/tex] cookies --- [tex]\frac{5}{3}[/tex] × [tex]\frac{1}{2}[/tex] cup plain yogurt = [tex]\frac{5}{6}[/tex] cups plain yogurt
plssss help me mathh
Answers
Answer:
C and E
Step-by-step explanation:
Which equation describes the line that passes through (-3,1) and is parallel to the line described by y =4x+1
Answers
Y = 4x + b
Plug in the point
1 = 4(-3) + b
1 = -12 + b, b = 13
Solution: y = 4x + 13
I need help with this
Answers
Answer: 0.6 grams
Step-by-step explanation: divide grams by cm and its 0.6
Zola and her friends are going bowling. The bowling alley charges each person a $14 fee to rent shoes, plus $4.50 per game. Which equation represents the cost, y, for each friend to go bowling in terms of the number of games played, x?
Answers
Answer:
X+14=y
Step-by-step explanation:
Jennifer had 3 \frac{3}{4}
4
3
lbs of tomatoes. She used \frac{1}{3}
3
1
OF that amount to make a salad. How many pounds OF tomatoes did she use? (LEAVE ANSWER AS A MIXED NUMBER)
Answers
Answer:
She used 1/4 of a pounds for salad
Step-by-step explanation:
Here, we want to calculate the amount of pounds of tomatoes used to make salad
From the question, she has 3/4 pounds and used 1/3 of what she has to make salad
What she used will be;
3/4 * 1/3 = 1/4
Find the slope of the line. Write your answers in simplest form
Answers
Answer:
-3/5
Step-by-step explanation:
using the picture and the rise over run method, you can see that from the coordinate farthest to the right, you move 3 spaces up (positive), and 5 spaces to the left (negative), which gives you your answer of -3/5.
You can also use the formula to find the slope:
1) y₂-y₁/x₂-x₁
2) -2-1/1-(-4)
3) -3/5
Emma earns $2 less than three times as much as Rachel. Nick earns twice as much as Emma. Together they earn $594 per week. How much does each person earn per week?
Answers
Answer:
290$
Step-by-step explanation:
Answer:
Mei earn $2 less than three times as much as Olivia. Shane earns twice as much as mei. Together they earn $594 per week. How much does each person earn per week?
***
Step-by-step explanation:
let x=amt Olivia earns
3x-2=amt Mei earns ($2 less than three times as much as Olivia).
2(3x-2)=amt Shane earns (twice as much as mei)
..
x+3x-2+2(3x-2)=594
x+3x-2+6x-4=594
10x=600
x=60
3x-2=178
2(3x-2)=356
amt Olivia earns=$60
amt Mei earns=$178
amt Shane earns=$356
Desmond has already jarred 4 liters of jam and will jar an additional 3 liters of jam every day. Write an equation that shows the relationship between the days d and the jam made j. Write your answer as an equation with j first, followed by an equals sign.
Answers
Answer: j = 3d + 4
======================================================
Explanation:
Referring to the answer above, the "+4" at the end represents the amount Desmond already has. He started off with 4 liters.
The 3d represents the 3 liters he gets per day, where d is the number of days.
So we combine the two elements getting 3d+4 representing the number of liters at any given day. That's why the answer is j = 3d+4
If we plug in d = 0, then j = 3d+4 = 3*0+4 = 4 liters is what he starts with.
If we plug in d = 1, then j = 3d+4 = 3*1+4 = 7 liters is what he has the following day. This shows Desmond gained 3 more liters.
If you plug in d = 2, you'll find that 3d+4 becomes 10, showing yet another 3 liters is added on. This process can go on for as long as you want.
CAN SOMEONE HELP- I'LL GIVE BRAINLIEST! I need all the questions pls.
Answers
Answer:
h
Step-by-step explanation:
Answer:
Step-by-step explanation:
1) x is 2 and y is 6
2) x is 10 and y is 30
3) x is 10 and y is 30
Can I actually get help and not people saying random stuff just for points????
Answers
Which function is equivalent to g (k) = -k'+ 6k-9?
a g(k) = -(k- 3)
g(k) = (-k+ 3)(k+ 3)
© g(k) =-(k+3)
O
g(k) = (-k- 3)(–k+ 3)
Answers
Answer:
I believe it’s g(k)=(-k- 3)(-k+3)
Step-by-step explanation:
The equivalent function is g(k) = -(k - 3)².
The correct option is A.
What is a quadratic function?A polynomial function with one or more variables, where the largest exponent of the variable is two, is referred to as a quadratic function. In other terms, a "polynomial function of degree 2" is a quadratic function.
We can start by completing the square of the quadratic function g(k) = -k² + 6k - 9:
g(k) = -(k² - 6k + 9 ) = -(k - 3)²
Option A can be simplified as:
g(k) = -(k - 3)²
Compared with the completed square form of g(k), we can see that option A is equivalent to g(k).
Therefore, the answer is A. g(k) = -(k - 3)²
To learn more about the quadratic function;
https://brainly.com/question/11485644
#SPJ5
The complete question:
Which function is equivalent to g (k) = -k²+ 6k-9?
A. g(k) = -(k- 3)²
B. g(k) = (-k+ 3)(k+ 3)
C. g(k) = -(k+3)²
D. g(k) = (-k- 3)(–k+ 3)
27/22 as a decimal rounded to the nearest hundredth
Answers
Answer:
1.23
Step-by-step explanation:
27/22 = 1.227 --> 1.23 (7>5 so the number rounds up)
Mary bought these art supplies: 4 paint brushes at $1.29 each, 6 dowel rods at $1.49 each, a jar of paste at $1.25, and 2 canvases at $6.00 each. How much change did she get from $40?
A. $8.25
B. $9.35
C. $10.45
D. $12.65
I'll give brainliest!
Answers
Answer: The answer is D.
Step-by-step explanation:
Multiply the art supplies with their assigned prices, then combine like terms.
Explanation:
1.29 times 4 is 5.16 1.49 times 6 is 8.94 and 6.00 times 2 is 12.00. Add those together including 1.25 and you are going to get 27.35 then you subtract that from 40.00
Which line on the graph below has an undefined slope?
○ P
○ Q
○ R
○ S
Answers
Answer:
R
Step-by-step explanation:
Answer:
R
Step-by-step explanation:
Jen and Kamlee are walking to school. After 20 minutes, Jen has walked 45 mile. After 25 minutes, Kamlee has walked 56 mile. Find their speeds in miles per hour. Enter the correct answers in the boxes.
Answers
Answer:
Jen's speed = 135 miles per hour (Approx)
Kamlee's speed = 134 miles per hour (Approx)
Step-by-step explanation:
Given:
Jen walk = 45 miles
Jen's time = 20 min = 20/60 = 0.333 hour
Kamlee walk = 56 miles
Kamlee's time = 25 min = 25/60 = 0.416667 hour
Find:
Speed
Computation:
Jen's speed = 45 / 0.333
Jen's speed = 135 miles per hour (Approx)
Kamlee's speed = 56 / 0.416667
Kamlee's speed = 134 miles per hour (Approx)
write the equation of a parellel to the given line that goes through the given point y=8x+3 (2,4)
Answers
Answer:
The equation of a parallel to the given line that goes through the given point (2, 4) is:
[tex]y=8x-12[/tex]
Step-by-step explanation:
Given the equation
[tex]y=8x+3[/tex]
comparing the equation with the slope-intercept form
[tex]y=mx+b[/tex]
Here,
m is the slope y is the interceptso the slope of the line is m = 8.
We know that the slopes of parallel lines are equal.
so, the slope of the perpendicular line will be = 8
Therefore, the equation of a parallel to the given line that goes through the given point (2, 4) is:
[tex]y-y_1=m\left(x-x_1\right)[/tex]
[tex]y-4 = 8 (x-2)[/tex]
[tex]y-4 = 8x-16[/tex]
[tex]y = 8x-16+4[/tex]
[tex]y=8x-12[/tex]
A mom mixes 9 ounces of juice with 3 ounces of water. What present of the drank is juice?
Answers
Answer:
6 ounces of juice
Step-by-step explanation:
Answer:
12 ounces
Step-by-step explanation:
A mom mixes 9 ounces of juice with 3 ounces of water. This means that the total ounces of drink= 9+3 = 12 ounces. The percent of the drink which is juice is: Ratio of the quantity of juice to the total quantity of drink and multiplying this obtained quantity by 100.
PLEASE HELP ME ASAP!!!!!!
Answers
Answer:
b
Step-by-step explanation:
Five less than 3 times a number is 25. What is the number?
Answers
Answer:
[tex]x = 10[/tex]
Step-by-step explanation:
[tex]3x - 5 = 25[/tex]
[tex]3x = 30[/tex]
[tex]x = 10[/tex]
Answer:
10?
Step-by-step explanation:
I think this is the right answer
I hoped this helped :)
please help me out
Answers
Answer:
C
Step-by-step explanation:
BRAINLIEST PLEASE
Answer: A
Step-by-step explanation:
12 and 16
I’ll name brainliest✨
Answers
Answer: -5 1/2 or -5.5
Step-by-step explanation: Negative five and a half. Its technically -5 2/4 but simplify 2/4 its 1/2
Answer:
Point B is located at -5.5
Step-by-step explanation:
Point B is located at the mid point between -6 and -5 on the scale. So, the answer would be 5 and 1/2 or -5.5
I hope this helped to answer your question.
HELP THIS IS TIMED
i need answers asap
Answers
Answer:
7
Step-by-step explanation:
I am 100% sure
[tex]\sf{\bold{\green{\underline{\underline{Given}}}}} [/tex]
⠀⠀⠀⠀
AD = 24cmDB = 25 cm______________________[tex]\sf{\bold{\green{\underline{\underline{To\:Find}}}}} [/tex]
⠀⠀⠀⠀
AB = d = ?? ______________________[tex]\sf{\bold{\green{\underline{\underline{Solution}}}}} [/tex]
⠀⠀⠀⠀
Using Pythagoras theorem ;
⠀⠀⠀⠀
[tex]\sf{\red{\boxed{\bold{( hypotenuse )^2 = ( base )^2 + ( height )^2 }}}}[/tex]
⠀⠀
First , lets understand the concept ;
⠀⠀
What is Pythagoras theorem ??
⠀⠀⠀⠀
In Pythagoras theorem the square of hypotenuse is equal to the square of base in the square of corresponding height when one angle is 90° .⠀⠀⠀⠀
What is hypotenuse ?
⠀⠀⠀⠀
The side in the front of right angle is known as hypotenuse .⠀⠀⠀⠀
In the given Δ ;
⠀⠀⠀⠀
Hypotenuse = DB = 25 cm
⠀⠀
Acc. to the formulae ;
⠀⠀⠀⠀
➠ 25² = 24² + d²
⠀⠀⠀⠀
➠ d² = 25 ² - 24 ²
⠀
➠ d² = 625 - 576
⠀⠀⠀⠀
➠ d² = 49
⠀
➠ d = √49
⠀⠀⠀⠀
➠d = 7cm
⠀⠀⠀⠀
______________________[tex]\sf{\bold{\green{\underline{\underline{Answer}}}}} [/tex]
⠀⠀⠀⠀
Value of d is 7cm