help me!!Write a function using correct notation that models the value of each car.
Answers
Answer:
[tex]f(x) = 2000 * 1.05^x[/tex]
Step-by-step explanation:
The key to this question is interpreting the graph and then modelling it into an exponential function.
You are given 2 key characteristics of this graph. 1 characteristic being that it intercepts the y-axis at (0,2000), and another characteristic being that it goes through the point (1,2100)
Now refer to the standard form of an exponential function.
[tex]y = a * b^x[/tex]
Since you know that when x = 0, y = 2000, a must be 2000. Because [tex]b^0 = 1[/tex], 2000 * 1 = 2000
So you got your a value. Sub it into the equation and now you got.
[tex]y = 2000 * b^x[/tex]
You still need to solve for b, so this is where you do some algebra. Pick your key point, (1,2100), sub in those values for x and y, and solve for b.
[tex]2100 = 2000 * b^1\\\frac{2100}{2000} = b\\ 1.05 = b[/tex]
Now you have your a and b values. Now you can express using a function:
[tex]f(x) = 2000 * 1.05^x[/tex]
Related Questions
Tina's teacher wrote 7/8 on the whiteboard. What percentage is equivalent to the fraction that Tina's teacher wrote on the whiteboard?
Answers
I think it's like 0.88, but I believe that's it rounded up.
[tex] \sf \large \: find \: \frac{dy}{dx} \: if \: x=a ( \Theta + sin \Theta ) , y= a (1- Cos \Theta ) \: at \: \Theta = \frac{π}{2} \\ \\ \\ \\ \\ [/tex]
Kindly Don't Spàm!
Thanks!!!!
Answers
Given :
[tex] \: \: \: [/tex]
[tex] \rm \large \: x = a ( \Theta + Sin \Theta )[/tex][tex] \: \: \: [/tex]
[tex] \rm \large y = a ( 1 - cos \: \Theta )[/tex][tex] \: \: [/tex]
Now , x = a ( θ + sin θ )
[tex] \: \: [/tex]
Diff w.r.t " θ "
[tex] \: \: \: [/tex]
[tex] \rm \large\frac{dx}{dθ } = a \: \frac{d}{dθ} (θ + \sin\theta )[/tex][tex] \: \: [/tex]
[tex] \boxed{ \rm \large\underline{ \frac{dx}{d \theta} = a(1 + \cos \theta ) }}[/tex][tex] \: \: [/tex]
Now y = a ( 1-cosθ)
[tex] \: \: [/tex]
Diff w.r.t " θ " we get .
[tex] \: \: [/tex]
[tex] \rm \large \frac{dy}{d \theta} = a \frac{d}{d \theta} (1 - cos \theta) [/tex][tex] \: \: \: [/tex]
[tex] \boxed{ \rm \large \underline{ \frac{dy}{d \theta} = a \sin \theta}}[/tex][tex] \: \: \: [/tex]
From eqn ( 1 ) & ( 2 )
[tex] \: \: [/tex]
[tex] \rm \large \frac{dy}{dx} = \frac{ \frac{dy}{d \theta} }{\frac{dx}{d \theta}} [/tex][tex] \: \: \: [/tex]
[tex] \: \: \: \rm \large = \frac{ \cancel{a} \: sin \theta}{ \cancel a \: (1 + cos \theta)} [/tex][tex] \: \: [/tex]
[tex] \rm \large \: = \frac{sin \theta}{1 + \cos \theta } [/tex][tex] \: \: \: [/tex]
[tex] \rm \large \: \frac{2 \sin( \frac{\theta }{2} ) cos\frac{\theta }{2} }{2 \: cos ^{2} \frac{\theta }{2}} \: \: ......(sin \: a \: = 2 \: sin \frac{a}{2} \: cos \frac{a}{2} 1 + \: cos \: a \: = 2cos ^{2} \frac{a}{2} )[/tex][tex] \: \: [/tex]
[tex] \rm \large \: \frac{dy}{dx} = \frac{sin \frac{ \theta}{2} }{cos \frac{ \theta}{2} } [/tex][tex] \: \: [/tex]
[tex] \rm \large \: \frac{dy}{dx} = tan \frac{ \theta}{2} [/tex][tex] \: \: [/tex]
[tex] \rm \large \: ( \frac{dy}{dx} ) = tan \frac{ \frac{ \theta}{2} }{2} [/tex][tex] \: \: [/tex]
[tex] \rm \large \: = tan( \frac{ \theta}{4} )[/tex][tex] \: \: [/tex]
[tex] \boxed{ \rm \large \underline{ ( \frac{dy}{dx} ) = \frac{\pi}{2} = 1}}[/tex][tex] \: \: [/tex]
Hope Helps!:)
(Use distributive property)
6 (5x + 3)
Answers
Answer:
30x + 18
Step-by-step explanation:
Using distributive property, you can find the answer like so.
Multiply 6 and 5x first
6(5x + 3)
30x + 3
Now multiply 6 by 3
6(5x + 3)
30x + 18
Hope I explained this well to you. :)
What shapes have only one pair of parallel sides?
Answers
Answer:
A TRAPEZOID!!
Step-by-step explanation:
Answer:
Trapezoids have only one pair of parallel sides
What is 9 to the of 3
Answers
Answer:
729
Step-by-step explanation:
I need help
Imagine that you designed a firework. When the firework first explodes, it splits into eight sparkles. Each of those sparkles then explodes and splits into eight new sparkles.
How many sparkles would the second explosion produce? Explain how you determined your answer.
Answers
Answer:
8 x 8 = 64
Step-by-step explanation:
Just including the second explosion, each of the 8 sparks bursts into 8, that means 8 sparks were produced 8 times, or 8x8
Answer:
1 sparkle Burst it produces 8 sparkles so you say 8×8×8×8×8×8×8×8
In 20 years Lillian will be three years older than twice her current age. Set up an equation that
can be used to solve for x, Lillian's current age.
Answers
Answer:
ok so x is her currect age y is her age in 20 years
2x+6=y
x+20=y
that means that both sides are equal
2x+6=x+20
-6
2x=x+14
-x
x=14
so her currect age is 14 and lets plug in
14+20=34
her currect age is 14 and her age in 20 years is 34
Hope This Helps!!!
it takes 120 unit cubes to completely fill a rectangular prism. the prism is 10 units cubes high
how would i answer this ?
Answers
Answer:
12
Step-by-step explanation:
Well, I am pretty sure you are looking for the length.
Since area = length x width, I would say that you could divide as well.
120 = 10 x 12
I am pretty sure the length is 12.
:)
what is (x^-2 y^10)^2/x^5 y^-3 using only positive exponents
Answers
Answer:
[tex] \frac{(x^{ - 2}{y}^{10})^{2} }{ {x}^{5} {y}^{ - 3} } \\ \frac{ {x}^{ - 4} {y}^{20} }{ {x}^{5} {y}^{ - 3 } } \\ {x}^{ - 9} {y}^{23} \\ \frac{ {y}^{23} }{ {x}^{9} } \\ ans \: c[/tex]
HELP!!!! I can’t figure this out
Answers
Answer:
A
Step-by-step explanation:
Write a numerical expression to represent the phrase.
5 more than the product of 12 and 8
Answers
Answer:
(12x8) + 5
Step-by-step explanation:
The product of 12 and 8 would be multiplication, so you can represent that as. (12x8) or 12x8.
Hello!
First of all, "the product" of 2 numbers means you multiply these 2 numbers.
Then, "5 more" means we add 5.
This is how the phrase "5 more than the product of 12 and 8" is written as a numerical expression:
(12×8)+5
[In case you need to simplify it]
96+5
101
Hope everything is clear.
Let me know if you have any questions!
Always remember: Knowledge is power!
Julio makes a scale drawing of the kitchen floor to determine how
many square feet of flooring he needs to buy. the scale of his drawing
is 1 inch:4 feet.
what is the area of julio's actual kitchen floor?
27
step 1 is to convert 3. to
step 2 is to convert 4. to
step 3 is to multiply each improper fraction by 4
step 4 is to multiply your answers to step 3 together to find the
answer
Answers
The scale drawing of Julio's kitchen would change the kitchen size
The actual area is 243 square feet
How to determine the actual area of Julio's kitchen?The parameters are given as:
Length = 4.5 inchesWidth = 3.375 inchesStart by converting the dimensions to feet using the scale ratio
Actual length = 4.5 inches/ (1 inch/ 4 feet) = 18 feetActual width = 3.375 inches/ (1 inch/ 4 feet) = 13.5 feetThe area is then calculated as:
Actual Area = Actual length * Actual Width
This gives
Actual Area =18 feet * 13.5 feet
Evaluate the product
Actual Area = 243 square feet
Hence, the actual area is 243 square feet
Read more about scale drawings at:
https://brainly.com/question/8975579
I need the answer please
Answers
Answer: sqrt(182)
Step-by-step explanation:
Ramona went to a theme park during spring break she was there for 7 hours and rode 21 rides at what rate did I Ramona ride rides in rides per hour
Answers
Answer:
57393487
Step-by-step explanation:
un kilo por hora espero que te ayude
Answer:
3 rides/hour
Step-by-step explanation:
Not sure what ^^ guy was saying... And I don't understand why?
The correct answer is number of rides / hours.
21 / 7 = 3
solve ps brainliest!
Answers
Answer:
W = 17
Step-by-step explanation:
Hi! Ok so the equation is: 24=2w-10
24=2w-10 First add =10 to each side
10+24= 2w +10 -10 the tens on the right cancel.
34=2w then divide each side by negative two
(34/2)=(2/2)w can be simplified to 17=w
which shapes best model the surface areas of the object? What is the surface are of each object, based on it’s model?
Answers
2) cylinder 704
A food truck did a daily survey of customers to find their food preferences. The data is partially entered in the frequency table. Complete the table to analyze the data and answer the questions:
Likes hamburgers Does not like hamburgers Total
Likes burritos 38 77
Does not like burritos 95 128
Total 134 71
Part A: What percentage of the survey respondents do not like both hamburgers and burritos? (2 points)
Part B: What is the marginal relative frequency of all customers that like hamburgers? (3 points)
Part C: Use the conditional relative frequencies to determine which data point has strongest association of its two factors. Use complete sentences to explain your answer. (5 points)
Answers
Answer:
A:
18.5%
B:
124 / 205
C:
75 / 113. 66.4% Strongest
49 / 92. 53.2% Middle
38 / 81 46.9% Weakest
75 / 113 is the strongest because it has the highest percentage fore the conditional relative frequencies. The others are weaker because they have as high of a percentage.
Step-by-step explanation:
The answers are shown below:
What is Conditional relative frequency?A conditional relative frequency compares a frequency count to the marginal total that represents the condition of interest.
a) Out of 205 people, 38 like neither, hence:
Percentage= 38/ 205 *100= 18.54%
b) Out of the 205 participants, 205 - 81 = 124 like hamburgers, hence:
= 124 / 205
=0.6049
c)The table is, dis considering the totals:
49 - 43
75 - 38
Due to the higher total, the data that has the strongest association of its two factors is liking hamburgers and not liking burritos.
Learn more about this concept here:
https://brainly.com/question/28011510
#SPJ2
Solving distance problems-
10 points
Answers
Answer:
1. 54 and 9/20 km
2. 80 mm
3. 1.142 mi
4.0.83333 cm
Step-by-step explanation:
Do them all by the butterfly method.
Part A
What are the possible outcomes of rolling a six-sided dle?
Answers
Answer:
1, 2, 3, 4, 5, 6
Step-by-step explanation:
6 sided dice, and each side has a number on it. 6 numbers from 1-6. This also means it has 6 possible outcomes if thrown once, so the Probability of each number is [tex]\frac{1}{6}[/tex] because there are 6 sides. It also helps if you visualise a dice, or know how one looks like.
Hope this helps! Let me know if you have any further questions.
- profparis :)
if I helped you, I would appreciate a brainliest :D
Answer:
⅙ or 1 out of 6
Step-by-step explanation:
This is because a die has 6 sides which when rolled will give you one side of its six sides which is ⅙
X2-7x+6; x2-5x-6 please help
Answers
Answer: (x−6)(x−1)(x+1)
Identify the set as finite or infinite.
{1, (1/4), (1/16), (1/64), ...}
Answers
The perimeter of the triangular park shown on the right is 15x+2 . What is the missing length? The other two lengths are 5x-1 and 4x+4
Answers
Answer:
6x - 1
Step-by-step explanation:
Side 1: 5x - 1
Side 2: 4x + 4
Side 3: Unknown, y
Perimeter: 15x + 2
Perimeter = Side 1 + Side 2 + Side 3
15x + 2 = 5x - 1 + 4x + 4 + y
15x + 2 = 9x + 3 + y
6x - 1 = y
y = 6x - 1
Side 3 = 6x - 1
Write a word problem to match the shaded fraction bar 3/4
Answers
Answer:
shaded part=3/4
unshaded part=1/4
Total=1
I went to the store with $20. After buying all my groceries, I spent $15.87. How much money do I have left?
Answers
you would have 4.13 left
20-15.87=4.13
Answer:
The answer is $4.13
Step-by-step explanation:
It is easier to do this if we add two zeros at the end of 20 to make it 20.00 so the decimal places line up. Lets take it one place at a time. first is the hundreths, which is 0-7. This is not possible, so we borrow from the tenths, but the tenths is also a zero. The tenths zero has to borrow from the ones zero. Basically, the 2 in 20 becomes 1, and the zeros in the ones and tenths place become nines, and the last zero becomes 10. 10 minus 7 is 3, 9 minus 8 is 1, 9-5 is 4, and 1-1 is 0.
Hope this helps!
Jestions: 5
5. Which of the following fractions makes this statement true?
4
12
er
3
7
dio
2
7
4.
5
panol
7
12
Answers
Answer:
I believe 2/7
Step-by-step explanation:
When you make them the same denominator they look like 48/84 > 24/84 and that's how you get the answer
Help literally fast at possibly
Answers
Answer:
Yes you want to do it again soon
an unknown number is increased by -3. the result is -8
find the unknown number
Answers
Answer:
The unknown number is -5.
Step-by-step explanation:
-3 + -5 = -8
-8 - -3 = -5
-8 - -5 = -3
Find the area of the circle
Answers
Step-by-step explanation:
78.50 in^2 I am pretty sure
Answer:
78.50 in squared
Step-by-step explanation:
To find the area of a circle, you need to use the equation area = pi * r^2, or pie multiplied by the radius squared. The radius is half of the diameter, which means the radius is 5. 5 squared is 25. Pi times 5 is about 78.50 inches squared.
Now say you invest the $7,500 and the highest interest rate you can find is 4.5% compounded annually,
but you would have to leave the investment in the account for a minimum of 4 years. If you decide to
wait 4 years to buy the car, how much more money will you have to save to buy a car at the $9,500
price? Use the compound interest formula A = P (1 + i)". (Round final answer to the nearest cent, but
otherwise don't round any intermediate values)
Answers
the answer is a i hope this helps
Step-by-step explanation:
hope this helps
Please help I'm giving 40 points.
Answers
Answer:
Please see explanation
Step-by-step explanation:
look at the photo