The graph that represents f(x) is [tex]f(x) = 12000(0.88)^x[/tex] with a horizontal asymptote at x = 0.
The given parameters are:
[tex]a = 12000[/tex] --- the initial value of the car
[tex]r = 12\%[/tex] -- the loss per year
The estimation is an illustration of an exponential function.
An exponential function is represented as:
[tex]y = a(1 -r)^x[/tex]
Rewrite as a function
[tex]f(x) = a(1 -r)^x[/tex]
Substitute values for (a) and (r)
[tex]f(x) = 12000(1 -12\%)^x[/tex]
Express 12% as decimal
[tex]f(x) = 12000(1 -0.12)^x[/tex]
Subtract 0.12 from 1
[tex]f(x) = 12000(0.88)^x[/tex]
The graph of f(x) has a horizontal asymptote at x = 0.
Hence, the graph that represents f(x) is [tex]f(x) = 12000(0.88)^x[/tex] with a horizontal asymptote at x = 0.
Read more about exponential functions at:
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frrrrrrrrreee points
A number w is greater than-3
Answer:
w>-3
Step-by-step explanation:
WILL GIVE BRAINLIEST
HELP ASAP!! WILL ADD 5 STAR RATING !!!
ANY AND ALL LINKS OR WRONG ANSWERS WILL BE REPORTED !!!!
[please put in correct order]
Answer:
(4,-4.5)
Step-by-step explanation:
How i can answer this question, NO LINKS, if you answer correctly i will give u brainliest!
Answer:
Sir your answer is 15
Step-by-step explanation:
Hope this helps luis
What is the range of this graph?
Answer:
I think the answer is (-3,1)
How can you tell from the equations, without graphing, how many solutions the system has?
Answer:
A system of two equations can be classified as follows: If the slopes are the same but the y-intercepts are different, the system has no solution. If the slopes are different, the system has one solution. If the slopes are the same and the y-intercepts are the same, the system has infinitely many solutions.If a consistent system has an infinite number of solutions, it is dependent . When you graph the equations, both equations represent the same line. If a system has no solution, it is said to be inconsistent . The graphs of the lines do not intersect, so the graphs are parallel and there is no solution.Step-by-step explanation:
Hope this helps !!5 1/28=1/2p+5 4/7
Please help!!
Answer:
p = (-15)/14
Step-by-step explanation:
Solve for p:
5 + 1/28 = p/2 + 4/7 + 5
Put 5 + 1/28 over the common denominator 28. 5 + 1/28 = (28×5)/28 + 1/28:
((28×5)/28 + 1/28) = p/2 + 4/7 + 5
28×5 = 140:
140/28 + 1/28 = p/2 + 4/7 + 5
140/28 + 1/28 = (140 + 1)/28:
((140 + 1)/28) = p/2 + 4/7 + 5
140 + 1 = 141:
141/28 = p/2 + 4/7 + 5
Put each term in p/2 + 4/7 + 5 over the common denominator 14: p/2 + 4/7 + 5 = (7 p)/14 + 8/14 + 70/14:
141/28 = ((7 p)/14 + 8/14 + 70/14)
(7 p)/14 + 8/14 + 70/14 = (7 p + 8 + 70)/14:
141/28 = ((7 p + 8 + 70)/14)
Grouping like terms, 7 p + 8 + 70 = 7 p + (70 + 8):
141/28 = (7 p + (70 + 8))/14
70 + 8 = 78:
141/28 = (7 p + 78)/14
141/28 = (7 p + 78)/14 is equivalent to (7 p + 78)/14 = 141/28:
(7 p + 78)/14 = 141/28
Multiply both sides of (7 p + 78)/14 = 141/28 by 14:
(14 (7 p + 78))/14 = (14×141)/28
(14 (7 p + 78))/14 = 14/14×(7 p + 78) = 7 p + 78:
(7 p + 78) = (14×141)/28
14/28 = 14/(14×2) = 1/2:
7 p + 78 = 141/2
Subtract 78 from both sides:
7 p + (78 - 78) = 141/2 - 78
78 - 78 = 0:
7 p = 141/2 - 78
Put 141/2 - 78 over the common denominator 2. 141/2 - 78 = 141/2 + (2 (-78))/2:
7 p = (141/2 - (78×2)/2)
2 (-78) = -156:
7 p = 141/2 + (-156)/2
141/2 - 156/2 = (141 - 156)/2:
7 p = ((141 - 156)/2)
141 - 156 = -15:
7 p = (-15)/2
Divide both sides by 7:
p = ((-15)/7)/2
2×7 = 14:
Answer: p = (-15)/14
Please y'all I need help
Answer:
c
Step-by-step explanation:
I think I c cause one of the coordinates is in -4 and the other one is bw 10 and 8 :)
At Florida A&M University, the ratio of students from Florida to students not from Florida is about 3:1. How many of its 12000 students are from
Based on the information given, the number of students from Florida will be 9000 students.
Total number of students = 12000
Fraction from Florida = 3/4
Fraction of students not from Florida = 1/4
Therefore, the students from Florida will be:
= 3/4 × 12000
= 9000
The number of students from Florida is 9000.
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_____5.Six times a number less four is equal to eight.
Answer:
1. 4x = 15
2. 4(n - 3) = 24
3. 2n + 5 = 13
4. (3/4)n = 9
5. 6x - 4 = 8
Step-by-step explanation:
this should be correct. hope this helps!
NO LINK HELP ASAP
what is the slope of the line that contains the points in the table? A. -10 B. 2 C. -5 D. 5
Answer:
C -5
Step-by-step explanation:
y2 - y1 / x2 - x1 Pick any 2 points
6 - 1 / -1 - 0
5 / -1
-5
what is the example of 897 * 39+(34*964)
Answer:
a_n=a_1+(n-1)d
Step-by-step explanation:
sorry for late anwser
What is the reciprocal of A if A doesn't equal 0?
Answer:
1/a
Step-by-step explanation:
What is the value of x?
74
138
69
148
Answer:
69
Step-by-step explanation:
All angles add up to 180 in a triangle.
Hope that helps
a. How do you identify the boundary line?
Answer:
Find your property line by visiting your local county recorder or assessor's office. You can access public maps of your street and locate your boundaries. Many counties also let you access property lines online. If your property is on platted land, you may be able to access the plat maps online.
Step-by-step explanation:
Sebastian compares toy car prices at three different store so he can get the best deal for his little brother's Christmas gift.
a. Toys R Us – 5 cars for $6.25
b. Walmart – 10 cars for $12.64
C. Target-2 cars for $2.76
Which store has the best unit rate?
-2x + 3y=-22
-6x + 3y = -18
What do you have to multiply the first equation by
to have the x's be opposite and the same?
Answer:
To be able to find what a variable equals, it has to be the only variable in the equation. Having an equation where a variable is opposite of another equation allows you to find the value of the other variable.
Step-by-step explanation:
Will give brainliest i rlly need help
Answer:
1/6
Step-by-step explanation:
-3/4 - (-1/2) = - 1/4
-2/3 - 5/6 = - 3/2
-1/4 ÷ -3/2
if I had 35 books but I wanted 48 and I did have any books to make 48 what do I do?
Answer:
Step-by-step explanation:
go to the store
8. Karen had a balance of $57 in her
checking account. She wrote a
check for $90. What is her new
balance?
Answer:
-$33
Step-by-step explanation:
KAREN now ows money to the bank
1. A car engine is 25% efficient. How much input energy produces 100 J of useful energy?
Answer:
400 J
Step-by-step explanation:
Answer:
400 J
Step-by-step explanation:
At TGI Fridankay's you order a drink for $2.99, an appetizer for $9.99, the cajun chicken pasta for $11.50, and a desert for $7.99. You had amemeazing service and know that you are going to tip your waiter 20%! The waiter also gave you a 10% coupon to use. There is also a 7% sales tax on the bill. What is your total bill after the tip, discount, and tax?
Answer:
$24.48
Step-by-step explanation:
2.99+9.99+11.50+7.99/20/10/7 = $24.48
The shortest side of a right triangle measures 16 m. The lengths of the other two sides are consecutive . Find the lengths of the other two sides.
Answer:
this is hard
Step-by-step explanation:
what is the percent increase in 300 and 375
Answer:
25
Step-by-step explanation:
Answer:
300/375=0,8
it decrease
Is 24:6 equivalent to 12:3
Answer:
Yes
Step-by-step explanation:
Yes! If you multiply both of the values in the ratio 12:3 by 2, you get the ratio 24:6. A ratio is equivalent to another if one can be multiplied by or divided by the same number to result in the other ratio.
For example, 1:2 and 3:6 are equivalent ratios since 1:2 can be multiplied by 3 to result in 3:6.
Hopefully that's helpful! :)
Determine the intercepts of the line. Do not round your answers.
Answer:
-14/9, -14
Step-by-step explanation:
y = -9x - 14
For x intercept, replace y with 0 and solve.
0 = -9x - 14
14 = -9x
-14/9 = x
- 1 5/9 = x
For y intercept, replace x with 0 and solve.
y = -9(0) - 14
y = -14
Type: five-tenths=
Pls answer correctly fact practice math .
Answer: 5-tenths= 5/10
Step-by-step explanation:
plese help 40 pts and brainliest if correct
can someone help me do this
Answer:
[tex]23^{\tfrac 12} = \sqrt{23}~~~~;\left[a^{\tfrac 12} = \sqrt a \right][/tex]
Step-by-step explanation:
what is the exact circumference of the circle? A. 10 FT B. 20 FT C. 40 FT D. 60 FT
Answer:
D. 60 Ft
Step-by-step explanation:
circumference = πd
π 20
60ft
Answer:
Hopefully others can use mine and get it correct!
Step-by-step explanation:
I just took this and got it wrong by listening to the other and went with 60 FT nope its 20FT