9514 1404 393
Answer:
v(t) = 30000×0.82^t . . . value in dollars after t years
v(10) ≈ 4123 . . . . dollars
Step-by-step explanation:
The general form of the decay model is ...
f(t) = f(0)×(1 -decay rate)^time
where the decay rate is a fraction between 0 and 1, and the time is expressed in the same time units as the decay rate. The multiplier f(0) is the initial value that is decaying.
In this problem, the initial value is $30,000 and the decay rate is 18% per year. So, we can write a function v(t), where v is the car's value in dollars, and t is the number of years after it starts depreciating.
v(t) = 30,000×(1 -0.18)^t
v(t) = 30,000×0.82^t
__
The car's value in 10 years is ...
v(t) = 30,000×0.82^10 ≈ 4123.44
The value of the car after 10 years is about $4,123.
The population growth of two towns over a period of five years is represented by the system of equations below, both algebraically and graphically D IS (10,4) it didn’t show up so
Answer:
(4, 10)
Step-by-step explanation:
Hope this helps
The solution to the system of equations is the ordered pair in option B. (4, 10).
What are Linear Equations?Linear equations are equation involving one or more expressions including variables and constants and the variables are having no exponents or the exponent of the variable is 1.
Population growth of two towns over a period of five years is represented by the system of equations :
y = x + 6
y = 2x + 2
Here y represents the population growth and x represents the number of years.
Solution of the system of equations is the point where the graph of both equations intersect.
Intersecting point is (4, 10).
Algebraically, we can solve this as,
We have y = x + 6 and y = 2x + 2.
x + 6 = 2x + 2
x - 2x = 2 - 6
x = 4
y = x + 6 = 4 + 6 = 10
So (x, y) = (4, 10)
Hence the solution to the system of equations y = x + 6 and y = 2x + 2 is the point (4, 10).
Learn more about Linear Equations here :
https://brainly.com/question/11897796
#SPJ5
Help quick pls
I need nine and eight
Answer:
8. y=2x+6
9. y=1/2x-5
Step-by-step explanation:
Use point slope form to figure out the y intercept. Because it needs to be parallel, the same slope will be used to solve for point slope form.
You buy a house that costs $345,000. You put down a downpayment of 20%. You borrow the rest from the bank, who charges an annual interest rate of 4.6%. If you pay this back in 30 years, how much did the house cost you in total? A=p(1+rt) format
Answer:
Total cost of the house = $725,880
Step-by-step explanation:
This can be calculated as follows:
Down payment = $345,000 * 20% = $69,000
Amount borrowed = $345,000 * (100% - 20%) = $276,000
The total amount of loan repaid can be calculated using the following formula:
A = p(1 + rt) .................... (1)
Where;
A = Total amount of loan repaid = ?
p = Principal or amount borrowed = $276,000
r = annual interest rate = 4.6% = 0.046
t = number of years = 30
Substitute the values into equation (1), we have:
A = $276,000 * (1 + (0.046 * 30)) = $656,880
The total cost of the house can now be calculated as follows:
Total cost of the house = Down payment + Total amount of loan repaid = $69,000 + $656,880 = $725,880
Please help! ill give brainliest to anyone with correct answer ASAP!!!
Answer:
5.25x + 55 is greater than or equal to 399
Step-by-step explanation:
55 is a fixed amount of money that Amelia already has so that will be added to the part of the eqaution: 5.25x.
Her total should be greater than or equal to $399
Consider the triangle.
Which shows the order of the angles from smallest to largest?
O angle A, angle B, angle C
O angle B, angle A, angle C
O angle B, angle C, angle A
O angle C, angle A, angle B
Answer:
angle B, angle A, angle C
Step-by-step explanation:
Given △ABC with coordinates A(1, 3), B(4, 5), and C(5, 2), what are the coordinates of △AʹBʹCʹ after the glide reflection described by T⟨−1, 1⟩° Ry-axis?
Answer:
A' = ( 0,4 )
B' = ( -3,6 )
C' = ( -4,3 )
Step-by-step explanation:
Transformation involves changing the coordinates of a shape.
The coordinates of △ABC after the glide transformation are [tex]A' = ( 0,4 )[/tex], [tex]B' = ( -3,6 )[/tex] and [tex]C' = ( -4,3 )[/tex]
The coordinates of triangle ABC is given as:
[tex]A = (1,3)[/tex]
[tex]B = (4,5)[/tex]
[tex]C = (5,2)[/tex]
The glide reflection is given as: T⟨−1, 1⟩° Ry-axis
So, we start by translating the shape by (x - 1, y + 1).
The coordinate ABC becomes
[tex]A = (1 - 1, 3 + 1) = (0,4)[/tex]
[tex]B = (4 - 1, 5 + 1) = (3,6)[/tex]
[tex]C = (5 - 1, 2 + 1) = (4,3)[/tex]
Next, we reflect the coordinates across the y-axis.
The rule of this reflection is:
[tex](x,y) \to (-x,y)[/tex]
So, we have:
[tex]A' = ( 0,4 )[/tex]
[tex]B' = ( -3,6 )[/tex]
[tex]C' = ( -4,3 )[/tex]
Read more about transformation at:
https://brainly.com/question/1616371
Any Simple way to learn mathematics formula ?
Answer:
I'll be honest if you don't understand your teacher just try looking it up on yt. Or like Kahn Academy. And if neither of that works just ask here, or maybe some older friends or siblings.
A company produces fruity drinks that contain a percentage of real fruit juice. Drink A contains 10% real fruit juice and Drink B contains 15% real fruit juice. How many liters of real fruit juice would be needed to produce 100 liters of Drink A and 250 liters of Drink B? How many liters of real fruit juice would be needed to produce a liters of Drink A and b liters of Drink B?
can someone help please?
9514 1404 393
Answer:
0
Step-by-step explanation:
The expression ...
[tex]f^{-1}(1)[/tex]
can be read as "the value of x that makes f(x) = 1".
We can read that value from the graph. It is the y-intercept of the function f(x):
(0, 1)
The value of x that makes f(x) = 1 is 0. That is, f(0) = 1.
[tex]\boxed{f^{-1}(1)=0}[/tex]
Help I only have a few hours till I fail this course!!!!!!!!!
Store A charges $4 for 5 apples, store B charges $6.75 for 9 apples. Which one is a better deal? WHY?
Answer: well it depend on ir ur trying to spend the most money or least
Step-by-step explanation: Stora A because you would have to pay that much and u get alot of apples, also because you didt spend alot of money on appels
Store B because that alot of appels that can probaly last a while and u can make stuff with it
Answer:
The second one
Step-by-step explanation
Find the worth of one apple
5/4=0.8
0.8x9=7.2
The second one is less expensive.
Help. I need help with these questions ( see image).
Please show workings.
9514 1404 393
Answer:
4) 6x
5) 2x +3
Step-by-step explanation:
We can work both these problems at once by finding an applicable rule.
[tex]\text{For $f(x)=ax^n$}\\\\\lim\limits_{h\to 0}\dfrac{f(x+h)-f(x)}{h}=\lim\limits_{h\to 0}\dfrac{a(x+h)^n-ax^n}{h}\\\\=\lim\limits_{h\to 0}\dfrac{ax^n+anx^{n-1}h+O(h^2)-ax^n}{h}=\boxed{anx^{n-1}}[/tex]
where O(h²) is the series of terms involving h² and higher powers. When divided by h, each term has h as a multiplier, so the series sums to zero when h approaches zero. Of course, if n < 2, there are no O(h²) terms in the expansion, so that can be ignored.
This can be referred to as the power rule.
Note that for the quadratic f(x) = ax^2 +bx +c, the limit of the sum is the sum of the limits, so this applies to the terms individually:
lim[h→0](f(x+h)-f(x))/h = 2ax +b
__
4. The gradient of 3x^2 is 3(2)x^(2-1) = 6x.
5. The gradient of x^2 +3x +1 is 2x +3.
__
If you need to "show work" for these problems individually, use the appropriate values for 'a' and 'n' in the above derivation of the power rule.
what are the next 2 terms in the sequence
Answer:
4 1/4 and 4 3/4
Step-by-step explanation:
its adding 2/4 each time
Answer:
4.25 and 4.75
Step-by-step explanation:
just add 0.50
Write a system of equations to describe the situation below, solve using substitution, and fill in the blanks. Craig's Bakery recently spent a total of $311 on new equipment, and their average hourly operating costs are $9. Their average hourly receipts are $10. The bakery will soon make back the amount it invested in equipment. How many hours will that take? What would the total expenses and receipts both equal?
Answer:
a. 311 hours
b. i. $3,100 in receipts
ii. $2,799 in expenses.
Step-by-step explanation:
a. The company is making $10 per hour and spending $9 an hour. Their profit is therefore:
= 10 - 9
= $1 per hour
Since they spent $311 on the new equipment, the amount of time it would take for them to make this back is:
= 311 / 1
= 311 hours
b. In 311 hours, the total receipts would be:
= 311 * 10
= $3,110
The expenses would be:
= 311 * 9
= $2,799
if angle 4 =2x+7 and. angle 8 =3x-13 find x for both equations
Answer:
2x +3x =7-13=4+8
Step-by-step explanation:
5x= -6= 12
Convert 30% into a fraction and shade the circle according to the result.
Answer:
3/10 shade 3 in
Step-by-step explanation:
Find x and y so the quadrilateral is a parallelogram.
Answer:
We conclude that:
The value of x = 7The value of y = 4Step-by-step explanation:
Given
The parallelogram PQRSWe know that the diagonals of a parallelogram bisect each other.
so
[tex]RT = TP[/tex]
Given
RT = xTP = 5x-28so substituting RT = x, and TP = 5x-28
[tex]RT = TP[/tex]
[tex]x = 5x-28[/tex]
[tex]5x = x+28[/tex]
[tex]5x-x = 28[/tex]
[tex]4x = 28[/tex]
divide both sides by 4
[tex]4x/4 = 28/4[/tex]
[tex]x = 7[/tex]
Therefore, the value of x:
x = 7Similarly,
[tex]QT = TS[/tex]
Given
QT = 5yTS = 2y+12so substituting QT = 5y, and TS = 2y+12
[tex]QT = TS[/tex]
[tex]5y = 2y+12[/tex]
[tex]5y-2y = 12[/tex]
[tex]3y = 12[/tex]
divide both sides by 3
[tex]3y/3 = 12/3[/tex]
[tex]y = 4[/tex]
Therefore, the value of y:
y = 4
Therefore, we conclude that:
The value of x = 7The value of y = 4what does it mean by a variables
Answer:
variables
Step-by-step explanation:
variables are constantly variating to contour to the problem it is being used in like in rentals, the variable is the amount of hours rented and the constant is the price it's being rented for
If you could help I would really appreciate it, but if not that’s fine. Thank you.
Tim bought a new phone. He paid $125 on the day of purchase, then $50 per month
until it was paid off. What is the initial value in this situation?
Answer:
its 5
Step-by-step explanation:
Can you help me!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
B. Lease
Step-by-step explanation:
Cash has value
A vehicle has value
A house has value
But a lease itself does not have value
Asset is something you own that has value
Hope this helped!
Have a supercalifragilisticexpialidocious day!
given
[tex] log_{2}(x) = \frac{3}{ log_{xy}(2) } [/tex]
express y in terms of x
Answer:
[tex]\displaystyle y = x^{-\frac{2}{3}}[/tex]
Step-by-step explanation:
Logarithms
Some properties of logarithms will be useful to solve this problem:
1. [tex]\log(pq)=\log p+\log q[/tex]
2. [tex]\displaystyle \log_pq=\frac{1}{\log_qp}[/tex]
3. [tex]\displaystyle \log p^q=q\log p[/tex]
We are given the equation:
[tex]\displaystyle \log_{2}(x) = \frac{3}{ \log_{xy}(2) }[/tex]
Applying the second property:
[tex]\displaystyle \log_{xy}(2)=\frac{1}{ \log_{2}(xy)}[/tex]
Substituting:
[tex]\displaystyle \log_{2}(x) = 3\log_{2}(xy)[/tex]
Applying the first property:
[tex]\displaystyle \log_{2}(x) = 3(\log_{2}(x)+\log_{2}(y))[/tex]
Operating:
[tex]\displaystyle \log_{2}(x) = 3\log_{2}(x)+3\log_{2}(y)[/tex]
Rearranging:
[tex]\displaystyle \log_{2}(x) - 3\log_{2}(x)=3\log_{2}(y)[/tex]
Simplifying:
[tex]\displaystyle -2\log_{2}(x) =3\log_{2}(y)[/tex]
Dividing by 3:
[tex]\displaystyle \log_{2}(y)=\frac{-2\log_{2}(x)}{3}[/tex]
Applying the third property:
[tex]\displaystyle \log_{2}(y)=\log_{2}\left(x^{-\frac{2}{3}}\right)[/tex]
Applying inverse logs:
[tex]\boxed{y = x^{-\frac{2}{3}}}[/tex]
PLZ HELPPP The statement below represents an equation.
Which equation is represented by this statemen
1. 1/n+6=1/4÷2
2. n/6=1/4+n/2
3. 1/n+6=1/4+n/2
4. n/6=1/4xn/2
/ is fractions
Answer: It number 4
Step-by-step explanation:
need help with functions
Answer: ur right
Step-by-step explanation:
Can someone help me with this?
Answer:
3x
Step-by-step explanation:
√9x²
√3²x²
√3²√x²
3x
hope it helps
2.Solve -75 = -25a.
A.
3
B.
-100
c.
-50
Answer:
A
Step-by-step explanation:
-75=-25a
Divide both sides by -3:
3=a
a=3
The answer is choice A
Answer please BEN......
Answer:
[tex]12x\leq 24[/tex]; [tex]x\leq 2[/tex]
Step-by-step explanation:
So you have 12 math problems that each take x amount of minutes, and have 24 minutes to finish them. Remember, you can't exceed the 24 minutes (but you are allowed to equal that time). So:
[tex]12x\leq 24[/tex]
Then you can simplify by dividing both sides by 2:
[tex]x\leq 2[/tex]
I need help and for the other select it’s are or are not
Answer:
Step-by-step explanation:
It's clear from the graph that the angles of the given triangles are different.
And for similarity of two triangles, at least two angles of the triangles should be congruent.
Therefore, both the triangles are not similar.
The angles are DIFFERENT.Since similarity transformations preserve angle measures, ΔUVW and ΔGHI ARE NOT similar.
-2(2x) simplified please
Answer:
-4x
Step-by-step explanation:
Answer:
-4x
Step-by-step explanation:
Simplify the following and express the result in positive exponential form
( 3/11)-2 x ( 3/11)-5
Answer:
Step-by-step explanation:
Solution:
Your problem → (3/11)-2 x (3/11)-5
(3/11)-2x(3/11)-5
=(3/11)-2x × (3/11)-5
=(3/11)-(6x/11)-5
=(3-6x-5×11)/11
=3-6x-55/11
=(-52-6x)/11
I NEED HELP PLEASE !!!
Answer:
point
Step-by-step explanation:
because it's a point and it doesn't have a line.
