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
Change in y:
Change in x:
Slope:
Answers
Answer:
a) 5, b) 6, c) 5/6Step-by-step explanation:
Use the two points from the graph:
(0, 0) and (6, 5)a) Change in y is:
5 - 0 = 5b) Change in x is:
6 - 0 = 6c) Slope is:
Change in y / change in x = 5/6For K12 8th grade math
Answers
Answer:
(0,3) (-1,0) im sorry if this is incorrect
Step-by-step explanation:
Answer:
yeah, im not sure
Step-by-step explanation:
what is 4km:370m in simplest form
Answers
Answer:
4.37 KM
Step-by-step explanation:
370 m to KM = 0.37 KM
then you sum 4 KM + 0.37 KM and you have 4.37 KM in its simplest form.
Best regards
Solve 7x + 2 =4x+11 please i have 100 points to offer
Answers
Answer:
x=3
Step-by-step explanation:
7x+2=4x+11 ---> subtract 2 to the other side and subtract 4x to the other side
7x-4x=11-2 ---> combine like terms
3x=9 ---> divide by 3
x=3
Answer:
x = 3
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Step-by-step explanation:
Step 1: Define Equation
7x + 2 = 4x + 11
Step 2: Solve for x
Subtract 4x on both sides: 3x + 2 = 11Subtract 2 on both sides: 3x = 9Divide 3 on both sides: x = 3Step 3: Check
Plug in x into the original equation to verify it's a solution.
Substitute in x: 7(3) + 2 = 4(3) + 11Multiply: 21 + 2 = 12 + 11Add: 23 = 23Here we see that 23 does indeed equal 23.
∴ x = 3 is the solution to the equation.
BRAINLIEST: Solve for x: x^3=25
Answers
Answer: decimal form is
2.92401773 or 2.92
Step-by-step explanation:
Answer:okay so it would be [tex]\sqrt{x} 25[/tex] without the little x though
Step-by-step explanation:
heeeeelppp please, :) please
Answers
Answer:
7/6
Step-by-step explanation:
In order to find slope when you have two ordered pairs, you use this equation: (y2-y1)/(x2-x1)
In this case, when you plug them in, you get (49-7)/(42-6), which is 42/36, which is 7/6.
Hope this helped :)
When a 40-foot pole casts a shadow of
30 feet, how tall is a nearby tree that
casts a shadow of 15 feet?
Answers
Set up a ratio with height over shadow height:
40/30 = x/15
Cross multiply:
40 x 15 = 30x
600 = 30x
Divide both sides by 30:
X = 20
The tree is 20 feet tall.
Answer:
20
Step-by-step explanation:
It tells you that a 40 foot pole casts a 30 foot then it asks you how tall is a tree if it casts a 15 foot shadow. We see that 30 is exactly 2 times 15
30 = 2 * 15
So we simply do that to 40 too.
40 / 2 = 20
So 20 is our answer.
PLEASE HELP ME I WILL MARK U AS THE BRAINIEST ANSWER IF U HELP ME
Answers
Answer:
1st, 3rd
and 4th - "4th" from different answer :)
Step-by-step explanation:
Have a good day :)
Answer:
1,3 and 4
Step-by-step explanation:
please order these from greatest to least = 2.086 2.854 2.81
Answers
Answer:
Answer: 2.854, 2.81, 2.086
2.854, 2.81, 2.086
You have to look from left to right to see which number will be greater in the intended value. Ones then tenths then hundredths so forth.
help me plz! Find all missing angles
Answers
Step-by-step explanation:
m<1=41
m <2=85
m<3=95
m<4=85
m<5=36
m<6=49
m <7=106
Can anyone please solve this?
Answers
2. wait until i get the answer
3. read my answer
4. use my answer
5. get it wrong
6. start crying lol
Which graph shows a system of equations with an estimated solution of (–3.4, 1.2)? On a coordinate plane, 2 lines intersect around (negative 3.5, 1.8). On a coordinate plane, 2 lines intersect around (1.3, 3.4). On a coordinate plane, 2 lines intersect around (negative 3.5, negative 1.3). On a coordinate plane, 2 lines intersect around (negative 3.4, 1.2).
Answers
Answer:
It's D.
Step-by-step explanation:
Got it on edge
Answer:
yep its D
Step-by-step explanation:
please help!! I'm confused, ignore the math book thing. And it's asking what property it is, the associative property or the communitive property?
Answers
Answer:
its associative property
Step-by-step explanation:
2+d=2+d
d=2
150 is 96% of what number TWT
Answers
Answer:
156.25
Step-by-step explanation:
150 ÷ 96%
= 156.25
Answer (Three Different Forms):
Decimal:
156.25
Fraction:
[tex]\frac{625}{4}[/tex]
Mixed Number:
[tex]156\frac{1}{4}[/tex]
Step-by-step explanation:
96% is the same as 0.96, and so this problem can be written algebrically as:
0.96 ⋅ x = 150
Solve for x by dividing both sides of the equation by 0.96 to isolate the variable:
x = [tex]\frac{150}{0.96}[/tex]
Divide/simplify [tex]\frac{150}{0.96}[/tex] to get the following three options (you can choose which one to use):
Decimal:
156.25
Fraction:
[tex]\frac{625}{4}[/tex]
Mixed Number:
[tex]156\frac{1}{4}[/tex]
Hope this helps! :)
Twice a number decreased by eight is sixteen.
Answers
16 plus 8 = 24/ 2= 12
PLEASE ANSWER ASAP!!!!!!!!
Mark is in charge of the fundraiser for his church. He is selling pre-sale tickets for $10 and at-the-door tickets for $13. The venue has the capacity to hold 275 people. The graph represents the number of raffle tickets he needs to sell to offset the upfront costs and raise at least $3,100:
Graph with x axis labeled pre sale tickets and y axis labeled at the door tickets. There are two lines intersecting at one hundred fifty eight and three hundred thirty three thousandths and one hundred sixteen and six hundred sixty seven thousandths.
What is the minimum number of at-the-door tickets he needs to sell to make his goal?
159
158
117
116
Answers
Answer:
The answer to the question above is he needs a minimum of 117 tickets to reach his goal
Step-by-step explanation:
This is true because of the at-the-door tickets it shows on graph 116.667, and in order to find the minimum amount we need to round, and in this case round up, thus when we round we are left with 117, therefore providing you with your answer 117.
Since I already have completed this on FLVS I will provide the courtesy of showing the answer directly from my exam.
--------------------------------------------------------------------------------------------------------
What is the minimum number of at-the-door tickets he needs to sell to make his goal?
159
158
117 --> This was my answer by the way.
116
Points earned on this question: 1
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Hope this helps and have a wonderful Evening
Jennifer drove to her aunt's house, which is 325 miles away. If it took her 5 hours and she drove at a constant rate, what was Jennifer's speed in miles per hour?
Answers
So the answer is 65 miles per hour
To double check you multiply 65 and 5, which equals 325, so the answer is correct.
Name the property illustrated. 6 + 4 + 1 = 4 + 6 + 1
Answers
Answer:
distribuative property of addition
Step-by-step explanation:
Answer:
I'm going to say expanded form
Step-by-step explanation:
Which graph best represents a system of equations that has no solution?
Answers
Answer: D
Step-by-step explanation: for each answer they were at least going to interact with each other, unlike answer D
if an angle is acute then it measures 20 degrees which of the following would be a counterexample? 48 degrees, 90 degrees, 105 degrees, or 180 degrees
Answers
The counterexample can be the angle can be 105 degrees.
What is counter example statement?A counterexample is an example in which the hypothesis is true, but the conclusion is false. If you can find a counterexample to a conditional statement, then that conditional statement is false.
However, showing that a mathematical statement is false only requires finding one example where the statement isn't true. Such an example is called a counterexample because it's an example that counters, or goes against, the statement's conclusion.
Given statement:
if an angle is acute then it measures 20 degrees
As, we know counterexample is an example in which the hypothesis is true, but the conclusion is false.
Also, acute angles measure less than 90 degrees.
Thus, the counter example will be if an angle is acute then it measures 105 degrees
Learn more about counter example here:
https://brainly.com/question/28746172
#SPJ2
Because Kendall's business spent more money than it collected, the business's balance sheet showed a balance of -$1,280$ at the end of the month. The next day, Kendall's business spent $560 on new tools. Part A Kendall determines that the new balance is -$720 because 1,280 + 560 = -720 . Did Kendall correctly determine the new balance? Explain why or why not. If not, calculate the new balance. Respond in the space provided.
Answers
Answer: No. Kendall did not correctly determine the new balance. The new balance is -$1840.
Step-by-step explanation:
From the question, we are informed that Kendall's business spent more money than it collected, and therefore the business's balance sheet showed a balance of -$1,280 at the end of the month. We are informed that the next day, Kendall's business spent $560 on new tools.
Therefore, since Kendall made a purchase, this is an expense and we have to subtract it from the previous balance. This will be:
= -$1280 - $560
= - $1840
The new balance is -$1840
Answer:
She is not correct. The correct answer should be -$1840
Step-by-step explanation:
Explanation: Kendal is ultimately wrong, because in his step in adding the $560 spent on new tools, she had added a positive number, which meant they deposited money to go out of debt. Instead he was supposed to subtract the $560, or even add -$560 to the businesses balance. If calculated correctly, by subtracting $560 to the current balance, it would get us to -$1840.
7.5% sales tax on a $210 bracelet
Answers
Answer:
225.75
Step-by-step explanation:
210*7.5%=15.75
add that 15.75 to 210
what are the 3 ways to determine if ratios are
equal to each other?
Answers
Joe has to get 80% overall in his 3 tests. He gets 60% in one of them. How much percentage does he need for both of the exams to get 80% overall?
Answers
Answer:
80%
90%
Step-by-step explanation:
BRAINLIEST PLEASE
if its right i’ll give brainliest!!
Answers
Answer:
6.5
Step-by-step explanation:
Square 42
[tex]\sqrt{42}[/tex]=6.48074....
rounded to the tenth is 6.5
Hope this helps!
Find the value of X and Y
(WILL GIVE BRAINY)
Answers
Answer:
y = 62, x = 122
Step-by-step explanation:
Every triangle's sum of interior angles = 180°.
60 + 58 + y = 180
118 + y = 180
y = 62
Supplementary angles are adjacent angles that make up a straight angle (180 degrees)
58 + x = 180
x = 122
Answer:
x = 122°, y = 62°
Step-by-step explanation:
The sum of the 3 angles in a triangle = 180°
Subtract the sum of the 2 given angles from 180 to find y
y = 180° - (60 + 58)° = 180° - 118° = 62°
x and 58° are adjacent angles and are supplementary, thus
x = 180° - 58° = 122°
Find the distance between (-1,4) and (5,7).
Answers
Answer:
(2, 5.5)
Step-by-step explanation:
Use the midpoint formula.
help for brainliest plsssssssssssssssssssssssssssssssssss
Answers
Answer:
32 canned goods per tub. There was one can left over.
Step-by-step explanation:
Answer:
32 in each tub with 1 left over I'm pretty sure
Step-by-step explanation:
think about how many times 5 can 161, then see what the number left over is. In this case, 5 can go into 161, 32 times with 1 left over
i need help! i lost my notes
Answers
Answer:
sin A= 3/5
sin C= 4/5
cos A= 4/5
cos C= 3/5
hihiii um ik the answer is 100 but i need the steps and i’m too lazy to even try :)
Answers
Answer:
C = 4x+ 16
Step-by-step explanation:
We know that When two parallel lines are cut by a third line, the third line is called the transversal, forming 8 angles.
From the attached diagram,
∠E and (2x+8) are vertical angles formed by the transversal line.
We know that vertical angles are equal.
Hence,
∠E = (2x+8)
∠A and ∠E are called the corresponding girls.
as
∠E = (2x+8)
so
∠A = ∠E = (2x+8)
Therefore,
C = m∠A + m∠E
C = 2x+8 + 2x+8
C = 4x+ 16
Therefore,
C = 4x+ 16