Answer:
ŷ = 739.49X + 4876.43
y = 6755.98 - 388.24x + 125.30x²
y = 5428.98(1.09)^x
B.)
Linear:
ŷ = 739.49(9) + 4876.43
y = 11531.8
Year 2010 ; x = 10
y = 739.49(10) + 4876.43
y = 12271.3
Year 2011 ; x = 11
y = 739.49(11) + 4876.43
y = 13010.8
Quadratic :
Year 2009 ; x = 9
y = 6755.98 - 388.24(9) + 125.30(9^2)
y = 13411.1
Year 2010 ; x = 10
y = 6755.98 - 388.24(10) + 125.30(10^2)
y = 15403.6
Year 2011 ; x = 11
y = 6755.98 - 388.24(11) + 125.30(11^2)
y = 17646.6
Exponential:
Year 2009 ; x = 9
y = 5428.98(1.09)^9
y = 11791.2
Year 2010 ; x = 10
y = 5428.98(1.09)^10
y = 12852.4
Year 2011 ; x = 11
y = 5428.98(1.09)^11
y = 14009.1
Step-by-step explanation:
X :
1
2
3
4
5
6
7
8
Y:
6231
6574
7237
7211
7701
8581
10302
11796
Using the online linear regression calculator :
The linear trend :
ŷ = 739.49X + 4876.43
Where x = year
With 2006 representing 1 ; and so on
Slope = m = 739.49
Intercept (c) = 4876.43
y = predicted variable
The quadratic model:
General form:
y = A + Bx + Cx²
y = 6755.98 - 388.24x + 125.30x²
The exponential model:
y = AB^x
y = 5428.98(1.09)^x
B.) Next three years :
Year 2009 ; x = 9
Year 2010 ; x = 10
Year 2011 ; x = 11
Linear:
ŷ = 739.49(9) + 4876.43
y = 11531.8
Year 2010 ; x = 10
y = 739.49(10) + 4876.43
y = 12271.3
Year 2011 ; x = 11
y = 739.49(11) + 4876.43
y = 13010.8
Quadratic :
Year 2009 ; x = 9
y = 6755.98 - 388.24(9) + 125.30(9^2)
y = 13411.1
Year 2010 ; x = 10
y = 6755.98 - 388.24(10) + 125.30(10^2)
y = 15403.6
Year 2011 ; x = 11
y = 6755.98 - 388.24(11) + 125.30(11^2)
y = 17646.6
Exponential:
Year 2009 ; x = 9
y = 5428.98(1.09)^9
y = 11791.2
Year 2010 ; x = 10
y = 5428.98(1.09)^10
y = 12852.4
Year 2011 ; x = 11
y = 5428.98(1.09)^11
y = 14009.1
If you were to place $5,000 in a savings account that pays 6% interest compounded continuously, how much money will you have after 4 years? Assume you make no other deposits or withdrawals.
A.) $11,821.07
B.)$5,024
C.)$6,312.38
D.)$6,356.25
Answer: D
Step-by-step explanation: Use money chip calculator
What are the different ways to write multiplication?
Answer:
Distribution, equal groups, skip counting, repeated addition, and array.
Step-by-step explanation:
Find an autonomous differential equation with all of the following properties:
equilibrium solutions at y=0 and y=3,
y' > 0 for 0
y' < 0 for -inf < y < 0 and 3 < y < inf
dy/dx =
Answer:
dy/dt = y ( 3 - y )
Step-by-step explanation:
Given data:
Determine an autonomous differential equation with the following properties
y = 0 and Y = 3
y' > 0 for 0 < y < 3
y' < 0 for -∞ < y < 0 and 3 < y < ∞
considering an autonomous differential equation
dy/dt = y ( 3 - y )
y = 0 and 3 represents equilibrium solutions
if 0 < y < 3 then y ( 3 - y ) > 0 for 0 < y < 3
hence : dy / dt = y' > 0 for 0 < y < 3
y ( 3 - y ) < 0 for -∞ < y < 0 and 3 < y < ∞
hence : dy / dt = y' < 0 for -∞ < y < 0 and 3 < y < ∞
this shows that the autonomous differential equation satisfies every condition hence the autonomous differential equation is :
dy/dt = y ( 3 - y )
F(x)=3x+10
g(x)= x-2
Find g(f(-10))
Solve please
Answer: -22
Step-by-step explanation:
first let's plug in -10 to the f(x) function.
F(-10) = 3(-10) + 10 = -30 +10 = -20
Now we plug in -20 into the g(x) function
g(-20) = -20 -2 = -22
Answer:
If g(x) = x - 2, then g(f(x)) = f(x) - 2. So the whole equation would be: 3x + 10 × x - 2. Simplified: g(f(x)) = 13x - 2
UwU
What is an equation of the line that passes through the points (0, -2) and (-5, 4)?
Put your answer in fully reduced form.
Answer:
I have no idea
Step-by-step explanation:
Answer: y= -6/5x-2
Step-by-step explanation:
That’s wut it said
solve for x. HELPPP MEEEE PLEASE
Answer:
18
Step-by-step explanation:
Quinzels earn 1254 each month his total deductions is 20%
Answer:
I believe its $250.80
Step-by-step explanation:
Because 20% of 1254 is 250.8
4x + 11y = 7
4x + 3y = -1
Answer:
x= - 1
y= 1
Step-by-step explanation:
qwertyuiopsknzvzbjzjjs
you bough shoes for $60. they were on sale for 40% off their original price. a. write a proportion to solve for the original price of the shoes
Answer:
$100
Step-by-step explanation:
The proportion would be [tex]\frac{60}{x} =\frac{60}{100}[/tex]. This is because you are paying for 60% of the original price and 60% is equal to [tex]\frac{60}{100}[/tex].
randma has 3 pounds of flour. She uses 1 pounds of flour to make rolls for
hanksgiving dinner. How much flour does Grandma have left over?
Answer:
2 pounds
Step-by-step explanation:
i feel like it's a trick question :/
There are 240 students going on a field trip each school bus can hold 48 students complete the equation to show which operation to use and how many school buses are needed then complete the sentence to explain your reasoning
PLEASEEE HELPPPPPPP :))))))))
Answer:
False
Explanation
The x-intercept of a line occurs when the line intersects with the x-axis.
A weighted coin has a 0.599 probability of landing on heads. What is the probability that it takes 5 flips for the first head to occur?
Answer:
0.411^5 times 0.599
Step-by-step explanation:
0.599 chance of landing on heads.
0.411 chance of not landing on heads.
0.411 times 0.411 times 0.411 times 0.411 times 0.411 (for the 5 flips that do not land on heads) times 0.599 (for the time that it does land on heads).
On a television game show, contestants earn 5 points for each correct answer, but lose 2 points for each wrong answer. On last week's show, the winning contestant earned 80 points and answered 30 questions.
Given that x represents the number of questions answered correctly, and y represents the number of questions answered incorrectly, determine which system of equations correctly represents this situation.
A. 5x-2y=30
x+y=80
B. 5x-2y+80
x+y=30
C. 5x+2y=80
x-y=30
D. 5x+2y=30
x+y=80
Sorry to inform that I can't find the answer to this question.
Socratic can help! This learning app, powered by Google AI, helps you understand your school work at a high school and university level. Ask Socratic a question and the app will find the best online resources for you to learn the concepts.
When rounded to the nearest thousands an elephant weight is 5,000 pounds. What is the least amount the elephant could weigh? I need step by step instructions please.
Answer:
Step-by-step explanation:
It depends on what you have been told about rounding when a 5 is involved.
If you can round if the answer is 4500, then that would be your answer. If you have some complicated method of dealing with the 5 (involving odd or even numbers) the elephant's minimum weight will be different.
I would go with 4500.
What is the value of the expression 3/19 7/2
Answer:
It is 2/15
Step-by-step explanation:
[tex]\frac{3}{19\frac{7}{2} } =\frac{3}{\frac{45}{2} }\\=\frac{2}{15}[/tex]
Dont know if this helps but here you go :)
answer fast and quickly plsss
Answer:
C. 65°, 115°
Step-by-step explanation:
3x - 5 + 2x - 15 = 180
5x - 20 = 180
5x = 180 + 20
5x = 200
x = 200/5
x = 40
5x - 20 = 3*40-5 = 120 - 5 = 115
2x - 15 = 2*40 - 15 = 80 - 15 = 65
Write the improper fraction 62/9 as a mixed number.
Answer:
62/9
Step-by-step explanation:
what is h(5)=-5²+3×5
Answer:
the answer will be -10.
Find the measure of each angle
Answer:
Answer is in the screenshot provided.
Step-by-step explanation:
Work is also in the screenshot provided.
Phones collected from a conferences are labeled 1 through 40. What is the probability that the conference speaker will choose a number that is not a multiple of 6?
Give your answer as a fraction.
Answer:
15/100
Step-by-step explanation:
6 multiples of 6 between 0-40 so we find the amount 40 goes into 100, which is 2.5, then multiply 6 by 2.5 to get 15, meaning the possibility is 15%, or 15/100
Answer: 17/20
Step-by-step explanation:
There are 6 multiples of 6 in the range 1 to 40, namely 6, 12, 18, 24, 30, 36. So the probability of the speaker choosing one of these multiples is 640. Therefore, by the complement rule, the probability of not choosing a multiple of 6 is 1−640=3440. Simplify to 17/20
How many pounds of grapes can I buy for $1.00?
2.09
Here you go! Hope it helps!
Which numbers should go in the shaded overlap?
Factors of 30
Factors of 20
Selecting which is the digit six is 10 times the value of the digit six in 3.161
Step-by-step explanation:
All the answers which apply are D and F
Answer:
I think it is d but I am now overthinking it so don't put too much trust in that
Determine the ending balance in the account if you deposit $720 at 6% for 5 days
Answer:
Step-by-step explanation:
S.I =720×6×5/100×365
=21600/36500
=0.59178
So balance will be 720+0.59178
=720.59178
chen is baking muffins and banana bread for brunch buffet. he needs 3 1/5 cups of flour to make the muffins and 3 2/3 cups of flour to make the banana bread. which is the best estimate of the number of cups of flour needed
Answer:
I think 7 would be the estimate if im wrong this is the specific number 6 13/15
Step-by-step explanation:
Answer:
She will need aproximately 7 cups
Step-by-step explanation:
First, you add 3 1/5 and 3 2/3 which is 6.86666666667
Just round that answer up and that'll give you seven
I NEED HELP! Please.
Answer:
z = 12
Step-by-step explanation:
Answer:
Step-by-step explanation:
4z - 4 = 3z + 8
z = 12
Which is a valid proportion?
Answer:
A true proportion is an equation that states that two ratios are equal. If you know one ratio in a proportion, you can use that information to find values in the other equivalent ratio.
Which property is shown in the matrix addition below?
[-6 15 -2 ] + [6 -15 2 ] = [0 0 0
Answer:
The property shown in matrix addition given is "Additive Inverse Property"
Step-by-step explanation:
First of all lets define what a matrix is.
A matrix is an array of rows and columns that consists of numbers. There are several types of matrices. The one in our question is a row matrix which consists of only one row.
There are several addition properties for matrices.
One of them is additive inverse property. The additive inverse of a matrix consists of the same elements but their signs are changed.
Additive inverse property states that the sum of a matrix and its additive inverse is a zero matrix.
[tex]\left[\begin{array}{ccc}-6&15&-2\end{array}\right] + \left[\begin{array}{ccc}6&-15&2\end{array}\right] = \left[\begin{array}{ccc}0&0&0\end{array}\right][/tex]
Hence,
The property shown in matrix addition given is "Additive Inverse Property"
Student can eat 1/8 of a pizza. If there are 24 students in David's class how many pizzas does David need
Answer: 7 boxes of pizza
Step-by-step explanation:
8x3=24
Answer:
David needs 3 pizzas.
Step-by-step explanation:
This is grammatically incorrect, but based on the information provided, I would infer that each student eats *only* 1/8 of a pizza. You would need 3 pizzas, as 3 x 8 =24.