Answer:
The function to determine the value of your car (in dollars) in terms of the number of years t since 2012 is:
[tex]f(t) = 10000(0.9407)^t[/tex]
Step-by-step explanation:
Value of the car:
Constant rate of change, so the value of the car in t years after 2012 is given by:
[tex]f(t) = f(0)(1-r)^t[/tex]
In which f(0) is the initial value and r is the decay rate, as a decimal.
In 2012 your car was worth $10,000.
This means that [tex]f(0) = 10000[/tex], thus:
[tex]f(t) = 10000(1-r)^t[/tex]
2014 your car was worth $8,850.
2014 - 2012 = 2, so:
[tex]f(2) = 8850[/tex]
We use this to find 1 - r.
[tex]f(t) = 10000(1-r)^t[/tex]
[tex]8850 = 10000(1-r)^2[/tex]
[tex](1-r)^2 = \frac{8850}{10000}[/tex]
[tex](1-r)^2 = 0.885[/tex]
[tex]\sqrt{(1-r)^2} = \sqrt{0.885}[/tex]
[tex]1 - r = 0.9407[/tex]
Thus
[tex]f(t) = 10000(1-r)^t[/tex]
[tex]f(t) = 10000(0.9407)^t[/tex]
HEYYYYYYYYYYYYYYY
PLEASE HELP AND BE CORRECT ANSWER AT THE BOTTOM
TELL ME WHERE TO PUT THE POINTS
Answer:
y = -3 (you have to draw an horizontal line that passes for the point (0,-3)
Step-by-step explanation:
We have to find the middle points of the segments that unite the corrispettive points.
We are lucky because the images of the points have the same x coordinate of the original ones, so we have just to find the y coordinates.
Segment CC‘
(y1 + y2)/2 = (-1-5)/2 = -3
Segment AA’
(0-6)/2 = -3
Segmet BB’
(1-7)/2 = -3
Segment DD’
(1-7)/2 = -3
In conclusion we can say that the points of the reflection have all the y coordinate equal to -3.
the line is horizontal and its equation is : y = -3
A party rental company has chairs and tables for rent. The total cost to rent 6 chairs and 5 tables is $63. The total cost to rent 2 chairs and 3 tables is $35. What is the cost to rent each chair and each table?
Answer:
1.75dollars - the value of each chair, 10.5 dollars - the value of each table
Step-by-step explanation:
The value of chair is x, the value of table is y. Then 6chairs cost 6x, 5 tables cost 5y. 6x+5y= 63
Then the value of 2 chairs is 2x, for 3 tables it is equal to 3y. 2x+3y=35
We have the system of equations6x+5y= 63 and 2x+3y=35
Multiply the second one by -3
-3(2x+3y)= -3*35
-6x-9y= -105.
Plus the first equation and the second one multiplied by -3 (the right side to the right side and the left side to the left side with sign= between them)
6x+5y-6x-9y= 63-105
-4y= -42
y=10.5 dollars - the value of a table
6x+5*10.5=63
6x= 63-52.5
6x=10.5
x=1.75dollars - the value of a chair
The best basketball player
Answer:
c
Step-by-step explanation:
hope it helps!!!!!!!!!!!!!!
Does the function ƒ(x) = (1∕2) + 25 represent exponential growth, decay, or neither?A) Exponential growth
B) Impossible to determine with the information given.
C) Neither
D) Exponential decay
Answer:
D) Exponential decay
Step-by-step explanation:
The correct function is:
[tex]f(x) = 25(1/2)^x[/tex]
Required
What type of rate is it
An exponential function is represented as:
[tex]f(x) = ab^x[/tex]
If
[tex]b > 0[/tex], then it represents growth
[tex]b < 0[/tex], then it represents decay
By comparison:
[tex]b = 1/2[/tex]
[tex]1/2 < 0[/tex]
Hence, the rate is exponential decay
Answer:
Step-by-step explanation:
There are 45 applicants for two Software
Maker positions.
I
Place the labels in the chart
If you can draw this out for me or describe were they are that will be very helpful:)
Answer:
Check the image
An unknown number becomes 30 when rounded to the nearest ten. Which could NOT be the unknown number?
A. 24
B. 25
C. 28
D. 31
Answer:
A. 24
Step-by-step explanation:
Five and above rounds up
so 25,26,27,28,29 rounds up to 30
We leave it alone when 4 or less
34,33,32,31,30 remains at 30
24 would not round to 30
I tried everything from adding to dividing, subtracting, multiplying but still no correct answer. Can someone help me out here please? Thank you for your time.
Answer:
68%
Step-by-step explanation:
6,753/100=67.53 which rounds up to 68%
which fraction has a greater value than 0.4
Answer:
0.4 as a fraction is 2/5, so as long as the fraction is greater than 2/5 then you are good
5/9 || 0.55
Step-by-step explanation:
HELP PLS ! ! !
What is |1 − 8i|?
A) √-65
B) 65
C) √65
D) √13
Answer:
C) SQRT(65)
Step-by-step explanation:
the magnitude of 1-8i is given by the following:
sqrt(a^2+b^2)
sqrt(1^2+8^2)
=sqrt(1+64)
=sqrt(65)
It is to be noted that the magnitude of |1 − 8i| is √(65) (Option C)
What is the computation of the above?To find the magnitude (or absolute value) of a complex number, we use the formula |a + bi| = √(a² + b²). In this case, the complex number is 1 - 8i.
Using the formula, we have -
|1 - 8i| = √(1² + (-8)²)
= √(1 + 64)
= √65
Hence, the magnitude of 1 - 8i is √65.
So the correct answer is C) √65.
Learn more about magnitude at:
https://brainly.com/question/30337362
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Which line is parallel to y = -2x + 8
Answer:
y=-2x-7
Step-by-step explanation:
after putting the choices with the question in a graph I found that that ones stays in a line with the question
Brainliest please!!
The measure of AD is v10. Find the AREA of the parallelogram below.
Leave answers in exact form (no decimals). Simplify all radicals and
rationalize the denominator. (You may write roots in the following ways:
2root5 or 2r5)
WILL GIVE BRAINLIEST
what is the value of 3n +1 when n =4
Answer:
13
Step-by-step explanation:
since n is 4 substitute it where there's n in the equation
3(4)+1
12+1
13
I hope this helps
Answer:
13
Step-by-step explanation:
so you start with the equation 3n+1
since you know n=4 then u put it in place of n making the equation 3*4+1
then you multiply and it's 12+1 which equals 13
Bill's father is three times Bill's age. Three years ago, Bill's father was four times Bill's age.
By forming two equations, find Bill's age now.
Answer:
12 and 36
Step-by-step explanation:
Call the age of both Bill and his father is a and b, respectively
we have:
b=3a
b-3=4(a-3) ->b=4a-12 -> 3a=4a-12 ->a =12 -> b=36
Help with this Area question
Step 1: Find the area of the rectangle
A = base x height
A = 39 x 20
A = 780
Step 2: Find the area of the semi-circles
---Two semi-circles is the same as one whole circle, so I will be finding the area of one whole circle.
A = pi x r^2
A = pi x 10^2
A = 100pi = 314
Step 3: Find the area of the figure
Area = area of the rectangle - area of the semi-circles
A = 780 - 314
A = 466 cm^2
Hope this helps!
Answer:
466 cm^2
Step-by-step explanation:
This one is done basically the same as the other.
Rectangle = 20 x 39
Circle = (3.14) x 10^2
Rectangle = 780
Circle = 314
rectangle - circle
780 - 314 = 466
i need some help with this question. it says find x
Answer:
x = 9.8
Step-by-step explanation:
Please see attached photo for diagram.
We'll begin by calculating the value of y. This can be obtained as follow:
Angle θ = 45
Opposite = 6
Hypothenus = y
Sine θ = Opposite /Hypothenus
Sine 45 = 6/y
0.7071 = 6/y
Cross multiply
y × 0.7071 = 6
Divide both side by 0.7071
y = 6 / 0.7071
y = 8.5
Finally, we shall determine the value of x. This can be obtained as follow:
Angle θ = 60
Opposite = 8.5
Hypothenus = x
Sine θ = Opposite /Hypothenus
Sine 60 = 8.5 / x
Cross multiply
x Sine 60 = 8.5
Divide both side by sine 60
x = 8.5 / sine 60
x = 8.5 / 0.8660
x = 9.8
Find the missing side length in the image below
Answer:
87.5
Step-by-step explanation:
Let the missing side be x.
28 / 35 = x / 50
4 / 7 = x / 50
4 ( x ) = 7 ( 50 )
4x = 350
x = 350 / 4
x = 87.5
Which polynomial function is best represented by the graph?
ƒ(x) = –x(x – 1)4
ƒ(x) = x2(x + 1)3
ƒ(x) = x2(x – 1)3
ƒ(x) = x(x – 1)4
Answer: ƒ(x) = x2(x – 1)3
In this problem, assume that the probability that a person is born on a given day is 1/365. (For simplicity, ignore Feb 29.) In a group of 100, what is the expected number of pairs of people who have the same birthday
Answer:
the expected number of pairs of people who have the same birthday is 14
Step-by-step explanation:
The computation of the expected number of pairs of people who have the same birthday is as follows:
= 100 (100 - 1) ÷ 2 × 365
= 100 × 99 ÷ 730
= 9900 ÷ 730
= 13.5616
= 14
Therefore, the expected number of pairs of people who have the same birthday is 14
I need help guys thanks so much
Answer: A & C
Step-by-step explanation:
[tex]i=\sqrt{-1}[/tex]
[tex]\sqrt{-1} *\sqrt{4} =\sqrt{-4}[/tex]
You can also simplify the above by taking the -4 out of the radical
It becomes 2 x [tex]\sqrt{-1}[/tex], which can be simplifed to C
Using a directrix of y = 5 and a focus of (4, 1), what quadratic function is created?
HELP PLS
Answer:
(x-4)^2=-8(y-3)
This is a parabola.
Step-by-step explanation:
Since the directrix is horizontal, the parabola faces up or down. Since the focus is below the directix it faces down. This means p will be negative in the equation (x-h)^2=4p(y-k).
p also tells us the half the distance between the focus and the directrix. The distance between 1 and 5 is 4, so p=-2.
The vertex is half way point between focus (4,1) and directrix y=5.
So the vertex is (4, [1+5]/2 )= (4 ,6/2)=(4,3). This is (h,k) in our equation.
(x-h)^2=4p(y-k)
(x-4)^2=4×-2(y-3)
(x-4)^2=-8(y-3)
Suppose you choose a marble from a bag containing 4 red marbles, 2 white marbles, and 3 blue marbles. You return the first marble to the bag and then choose again. Find P(red then blue).
Answer:
4/27
Step-by-step explanation:
total number of marbles=9
probability of red=4/9
since you returned the first marble, the total number of marbles remains the same
prob(Blue)=(3/9)=1/3
P(red then blue)=(4/9)*(1/3)
=4/27
If using the method of completing the square to solve the quadratic equation x 2 − 9 x − 8 = 0 x 2 −9x−8=0, which number would have to be added to "complete the square"?
Answer:
Add 81/4 to both sides.
Step-by-step explanation:
x^2 − 9x − 8 = 0
x^2 - 9x = 8
Take the coefficient of the x term: -9
Divide by 2: -9/2
Square it: 81/4
Add 81/4 to both sides.
true or false?
help me please
Answer:
False
Step-by-step explanation:
The point that is equidistant from the vertices of a triangle is called the circumcenter.
9514 1404 393
Answer:
False
Step-by-step explanation:
The incenter is the center of the inscribed circle, which is tangent to all of the sides of the triangle. The incenter is equidistant from the sides, not the vertices.
_____
Additional comment
The circumcenter is the center of the circumscribing circle. Each of the vertices of the triangle is on the circumcircle, so the circumcenter is equidistant from the vertices.
The incenter is located at the intersection point of the angle bisectors. The circumcenter is located at the intersection point of the perpendicular bisectors of the sides.
6. If gallon A has 8L of water and gallon B has 800 ml of water, calculate the total volume of water in both the gallons.
Answer:
send me again I can't understand question
A newsstand spends $600 a month on rent and electricity, and it spends $2
for each magazine that it sells. The newsstand charges $5 for each
magazine. If n is the number of magazines, which equation represents the
profit function of the newsstand?
O A. p = 2n + 600
B. p = 3n-600
O c. p = 600n + 3
O D. p = 5n-600
Answer: B. p = 3n-600
Step-by-step explanation:
Cost = 2n + 600Earned = 5nProfit(p) = Earned - Cost
p = 5n - (2n + 600) = 5n - 2n - 600 = 3n - 600
The equation representing the profit function of the newsstand is
p = 3n - 600
Option B is the correct answer.
What is a function?A function has an input and an output.
A function can be one-to-one or onto one.
It simply indicated the relationships between the input and the output.
Example:
f(x) = 2x + 1
f(1) = 2 + 1 = 3
f(2) = 2 x 2 + 1 = 4 + 1 = 5
The outputs of the functions are 3 and 5
The inputs of the function are 1 and 2.
We have,
The revenue generated by selling n magazines is 5n dollars.
The cost of selling n magazines is the sum of the cost of purchasing n magazines and the fixed cost of rent and electricity, which is $2n + $600.
Now,
The profit function can be represented by:
p = revenue - cost
= 5n - (2n + 600)
= 3n - 600
Thus,
The equation representing the profit function of the newsstand is
p = 3n - 600
Learn more about functions here:
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Find y on this triangle
Answer:
5√3 / 2
Step-by-step explanation:
tan 30 = ( 5 / 2 ) / y
1 / √3 = 5 / 2y
2y = 5√3
y = 5√3 / 2
The purchase price of a new machine is 3500 000 dinars. its value will decrease by
300 000 dinars each year.write a linear model that expresses the value of the
machine (t) years after its purchased :
A) p = 300 000 -3500000t
B) p = 3500 000 +300000t
C) p = 3500 000-300000t
D) p = 300 000+3500000t
. A ride at a county fair spins in a circle of radius (in meters). The centripetal force experienced by one of the passengers on the ride is modeled by the equation below, where is the number of seconds the ride takes to complete one revolution and is the mass (in kilograms) of the passenger. Tom, whose mass is kilograms is on a ride that is spinning in a circle at a rate of seconds per revolution. The radius of the circle is meters. Letting , how much centripetal force does Tom experience
Answer:
150 Newtons
Step-by-step explanation:
Given
[tex]t = \sqrt{\frac{4\pi^2mr}{F}}[/tex]
[tex]t = 12[/tex]
[tex]r =6.5[/tex]
[tex]\pi = 3.14[/tex]
[tex]m = 84.4[/tex]
See attachment
Required
Find F
We have:
[tex]t = \sqrt{\frac{4\pi^2mr}{F}}[/tex]
Square both sides
[tex]t^2 = \frac{4\pi^2mr}{F}[/tex]
Multiply both sides by F
[tex]Ft^2 = 4\pi^2mr[/tex]
Divide both sides by [tex]t^2[/tex]
[tex]F = \frac{4\pi^2mr}{t^2}[/tex]
Substitute known values
[tex]F = \frac{4*3.14^2*84.4*6.5}{12^2}[/tex]
[tex]F = \frac{21635.90624}{144}[/tex]
[tex]F = 150.249348889[/tex]
[tex]F = 150N[/tex]
For the function in the graph, find the values of f(-4), f(-1), and f(1).
Answer:
f(-4) = -1
f(-1) = -4
f(1) = 4
Step-by-step explanation:
We need to find the y value for the x values
f(-4) means find the y value for x= -4
f(-4) = -1
f(-1) = -4
f(1) = 4
