Jason estimates that his car loses 12% of its value every year. The initial value is $12,000. Which best describes the graph of the function that represents the value of the car after x years? f(x) = 12,000(0. 12)x, with a horizontal asymptote of y = 0 f(x) = 12,000(1. 12)x, with a vertical asymptote of x = 0 f(x) = 12,000(0. 88)x, with a horizontal asymptote of y = 0 f(x) = (12,000 0. 88)x, with a vertical asymptote of x = 0.
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.
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Solved previously.The altitude to the hypotenuse of a triangle with angles of 30 and 60 degrees is 3 units. What is the area of the triangle, in square units
Answer:
6√3 square units
Step-by-step explanation:
The ratios of side lengths in a 30°-60°-90° triangle are 1 : √3 : 2. Using this fact, we can find the lengths of the orthogonal sides of the triangle to be ...
3(2/√3) = 2√3 . . . . side AB in the attached figure
and
2·3 = 6 . . . . . . . . . . side AC in the attached figure
Then the area of the triangle is ...
A = 1/2bh
A = 1/2(6)(2√3) = 6√3 . . . . square units
Find the exact value of the indicated trigonometric function of θ.
sin θ = [tex]\frac{1}{6}[/tex], sec θ < 0 Find cos θ and tan θ. ____________________
Answer:
cosθ = -√(35/36)
tanθ = -1/√35
Step-by-step explanation:
We know that
sin²θ + cos²θ = 1
(1/6)² + cos²θ = 1
1 - (1/6)² = cos²θ
35/36 = cos²θ
sec θ = 1/ cosθ
1/ secθ = cos θ
Because secθ < 0, 1/ secθ would also be < 0, so cos θ < 0
cosθ = -√(35/36)
tanθ = sinθ/cosθ = (1/6)/-√(35/36)
= (1/6) / -(√35/6)
= -1/√35
0.25(x + 4) - 3 = 28
Answer:
x = 120
Step-by-step explanation:
0.25(x + 4) - 3 = 28
Multiply 0.25 into the parenthesis
0.25x + 1 - 3 = 28
Combine like-terms
0.25x - 2 = 28
Add 2 to both sides
0.25x = 30
Divide both sides by 0.25
x = 120
Given the word FAMILY, find the number of ways you can arrange with all letters
Answer:
That's impossible to make another word with all those letters used together.
But 5 letter words like filmy and flamy
and 4 letter words like film, flam, amyl, flay, limy, alif, fail, fila, mail, and mali.
And 3 letter words like fly, fay,may, yam, fil, lam, mil, aim, ami, lay, mai, and ail
and 2 letter words like my, am, fa, fi, if, ma, mi, ay, ya, yi, al, la, li, and ai.
It's not impossible
I Hope I Had HELPED You :)
SO there is 39 different ways to make other words with the letters you have given me.
The factorize formula for n.
n! = n(n - 1)(n - 2)(n - 3).......1
The number of ways that can be arranged with all letters is 720.
What is an expression?An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.
Example: 2 + 3x + 4y = 7 is an expression.
We have,
The factorize formula for n.
n! = n(n - 1)(n - 2)(n - 3).......1
FAMILY
The number of ways that can be arranged with all letters.
The number of letters in the word FAMILY.
= 6
The number of ways.
= 6!
= 6 x 5 x 4 x 3 x 2 x 1
= 730 ways.
Thus,
The number of ways that can be arranged with all letters is 720.
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4d-6=-14+5d
i neeed help the last person didn’t even help me
helppppp meee pleaseeeee !!!!! :(
Answer:
70°
Step-by-step explanation:
the bottom small triangle is isosceles, which means in this case it has 2 35° angles. the third angle y is 180-2*35=110°
x is 180 - y = 180-110 = 70°
Please help quick ..
What distance was an object moved by a force of 35 N if the work was 665 joules?
19m
23,275m
630m
22m
Answer:
19m, A
Step-by-step explanation:
Work = Force x distance
so rearrange to get:
distance = Work ÷ Force
distance = 665÷35
distance = 19m
help pleaseeeeeeeeeeeee
Answer:
C
Step-by-step explanation:
if its not the same on both sides its not communitave. hope this helps
what is 100 over 2 simplifided
Answer:
50
Step-by-step explanation:
what is x?
3x-5=10
please help and thank you
Answer:
5
Step-by-step explanation:
3x - 5 = 10
3x = 15
x = 5
I hope it helps bye, good luck
Answer:
x=5
Step-by-step explanation:
Move all terms not containing x to the right side of the equation.
Add 5 to both sides of the equation.
3x = 10 + 5
Add 10 and 5
3x = 15
Divide each term in 3x = 15 by 3 and simplify.
3x/3 = 15/3
Simplify the left side
Cancel the common factor of 3
x = 15/3
Divide 15 by 3
x = 5
5. What are the slope and y-intercept of the graph of y= 30 + 5?
One group of carolers goes to every 6th house in a neighborhood, another goes
to every 8th house. At which house will the first meet?
The carolers would meet first at the 24th house.
In order to determine in which house the carolers would meet, the multiple of 6 and 8 have to be determined. They would first meet at the first common multiple of 6 and 8.
A multiple of a number is the product of an integer and that number.
First ten multiples of 6 = 6, 12, 18, 24, 30, 36, 42, 48, 54 and 60First ten multiples of 8 = 8, 16, 24, 32, 40, 48, 56, 64, 72, 80, Least common multiple = 24To learn more about multiplies, please check: https://brainly.com/question/10520264
Solve using substitution.
3x + 2y = -13
X – 9y = 15
Answer:
Step-by-step explanation:
x = 7/11, y = -16/11
I NEED HELP QUICK ‼️‼️‼️ PLEASE
Answer: no
Step-by-step explanation:
the angle is too steep
Y=-2|x+2|-4 i need to find y intercept and the x intercept
Answer:
x-int: ∅
y-int: (0,-8)
Step-by-step explanation:
To find the x and y-intercept, simply plug in zero for x and y:
[tex]0=-2|x+2|-4\\4=-2|x+2|\\-2=|x+2|\\[/tex]
Because an absolute value cannot be equal to a negative, there is no x-intercept.
[tex]y=-2|0+2|-4\\y=-2|2|-4\\y=-4-4\\y=-8[/tex]
Hope it helps :)
Please help me first person will get brainliest!!
Answer:
6w-60x+6
Step-by-step explanation:
6(w-10x+1)
6w+6(-10)+6*1
6w-60x+6
Answer: 6(w-10x+1)
6w+6(-10)+6*1
6w-60x+6
Step-by-step explanation: hope it helps you .Thanks .
question (e) only please show working as well appreciate it
Answer:
a. f(2) = 6
b. f(3) + f(-3) = 62
d. 3(x+1)^2 - 5(x+1) + 4
e. This one looks like the secant line equation. Not fully sure.
Step-by-step explanation:
You replace whatever is inside of the parenthesis with the x in the function. For the first two, you just have to calcluate the numbers.
For the other two , you have use algebra. For d, you replace x with x+1.
write the decimal 4.005 as a fraction in the simplest form
Steps to convert decimal into fraction
Write 4.005 as
4.005
-----------
1
Multiply both numerator and denominator by 10 for every number after the decimal point
4.005 × 1000
---------------------
1 × 1000
=
4005
-----------
1000
Reducing the fraction gives
801
--------
200
I think that font up there might not be that understandable, so I got a picture for ya!
Somebody please help
Write an equation of the line that passes through the given point and is (a) parallel and (b)
perpendicular to the given line.
help asap please for brainlist !!!!!!!!!
An athlete trains by swimming 3/5 miles in 1 day.
Which expression shows how many miles he would swim in 7 days?
Answer:
3/5 x 7
Step-by-step explanation:
The athlete swims 3/5 miles per day, and in 7 days, he swims the amount of 3/5 per the swimming session he does, so it will be 3/5x7.
There were 36 people in a school play. There were three times as many students in the play as teachers. How many students were in the play? How many teachers?
Answer:108
Step-by-step explanation:
36 times 3, right??
The regular price of an item is $150. The item is on sale at a discount rate of 30%.
What is the sale price of the item?
$45
$105
$120
1970
Answer:
$105
Step-by-step explanation:
30% of 150 is 45.
150-45 = 105
Hope that helps
2(w+5)
Use the distributive property to remove the parentheses.
Answer:
2w +10 yw and give me brainliest cuz its correct
Step-by-step explanation:
Just a quick math problem that I forgot how to do.
Answer:
16
Step-by-step explanation:
If they are parallel then the 2 angles are congruent, so
8x + 14 = 12x - 50
64 = 4x
16 = x
Answer:
x = 16
Step-by-step explanation:
For the 2 lines to be parallel, then
12x - 50 and 8x + 14 would be corresponding angles and congruent , so
12x - 50 = 8x + 14 ( subtract 8x from both sides )
4x - 50 = 14 ( add 50 to both sides )
4x = 64 ( divide both sides by 4 )
x = 16
I really need help it’s due in two days
Answer:
Step-by-step explanation:
The answer is "Impossible to solve" , because there is no rule for function at point x = 7 . The given function has domain ( - ∞ , 2 ) ∪ { 2 } ∪ ( 2 , 7 ) ⇒ 7 is not a part of domain!!!
The mixed number 2Five-sixths is equivalent to a fraction with a denominator of 6.
2Five-sixths = StartFraction question mark over 6 EndFraction
What is the missing numerator in the equivalent fraction?
8
12
17
18
Answer:
what the answer
Step-by-step explanation:
The Sea Lions are facing off against The Otters in fantasy football. The Sea Lions scored -12 points this
week The Otters scored -17 points this week
Which one of the following inequalities correctly compares the scores?
Choose 1 answer:
-17> -12
8
B
-12 > -17
Which one of the following descriptions is correct?
Choose 1 answer:
Answer:
the answer is b -12 is closer to being a positive number making it worth more than -17. so you're answer would be -12>-17
In square GEOM, the coordinates of G are (-3, 2) and the coordinates of O are (1, -2). Determine and state the coordinates of vertices E and M.
Answer:
E is (1, 2) and M is (-3,-2),
Step-by-step explanation:
G and O are diagonally opposite points.
E is the image of O in the x axis and M is the image of G in the x axis.
E which is adjacent to M and will have y-coordinate of 2 and x -coordinate 1.
M will have x coordinate same as G which is -3 and y coordinate is -2.
The coordinates of E are (1, 2) and coordinates of M are (-3,-2),
What are Coordinates?The coordinates of a point are referred as (x, y), where x represents the position of the point with reference to the x-axis, and y represents the position of the point with reference to the y-axis.
Here, G and O are diagonally opposite points.
E is the image of O in the x-axis and M is the image of G in the x axis.
E which is adjacent to M and will have y-coordinate of 2 and x -coordinate 1.
M will have x coordinate same as G which is -3 and y coordinate is -2.
Thus, the coordinates of E are (1, 2) and coordinates of M are (-3,-2),
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