Answer:
18,920.00
Step-by-step explanation:
discount = x
original price = $20,000
discount% = 5.4%
x/20,000 = 5.4/100
x · 100 = 5.4 · 20,000
100x = 108,000
100x/100 = 108,000/100
x = $ 1,080.00
Sale price = original $ - discount $ = final answer
$20,000 - $1,080 = $18,920.00
Answer:1,080
Step-by-step explanation:
20,000 x .54 equals $1,080
1 of 5
What is the nth term rule of the quadratic sequence below?
8, 16, 26, 38, 52, 68, 86,...
Tn=
Answer:
[tex]n^2+5n+2[/tex]
Step-by-step explanation:
Given the sequence
8, 16, 26, 38, 52, 68, 86,...
The nth term of a quadratic sequence will take the form:
[tex]an^2+bn+c[/tex]
Step 1: Find the difference between each term
The differences are: 8,10,12,14,...
Step 2: Find the differences between the differences
We notice an addition of 2, so the second difference is 2.
Step 3:
Take the half of the second difference to obtain a.
2/2=1
Therefore: a=1
The sequence for now is: [tex]n^2+bn+c[/tex]
Step 4: Find [tex]T_n-n^2[/tex]
[tex]T_1=8, T_1-1^2=8-1=7\\T_2=16, T_2-2^2=16-4=12\\T_3=26, T_3-3^2=26-9=17[/tex]
We notice that [tex]T_n-n^2[/tex] forms a linear sequence 7,12,17
We can write this as 2+5n
Therefore, Our nth rule for the quadratic sequence is therefore: [tex]n^2+5n+2[/tex]
If g (x) is the inverse of f(x) and f (x) =4x+12, what is g(x)?
Answer:
y= x/4 - 3
Step-by-step explanation:
plz help with this question fast
Answer:
The answer is C; y=x+2
Step-by-step explanation:
y=mx+b (3, 5)
5=1(3)+b
5=3+b
subtract 3 from both sides of the equation
2=b
equation; y=mx+b
y=x+2
Answer:
C. y = x + 2
Step-by-step explanation:
→You can figure this out by using the point-slope form:
[tex]y-y_1=m(x-x_1)[/tex]
[tex]y-5=1(x-3)[/tex]
→Distribute the 1 to (x - 3):
y - 5 = x - 3
→Add 5 to both sides:
y = x + 2
someone tell me what this is
Answer:
D. y/-1 = f(x)
Step-by-step explanation:
because if you were to move the -1 to the other side by multiplying both sides by -1, you would get f(x) times -1 which would give you the negative equivalent of the original equation f(x)
you can try it out in a graphic calculator like Desmos which is an online graphic calculator
Please at least thank if you found helpful
Can someone please help me ?
Answer:
yes3244
Step-by-step explanation:
i will help 5642
The sum of three numbers is 54. The third number is 2 times the second. The second number is 10 more than the first. What are the numbers?
Answer:
8, 18 and 36 respectively.
explanationsum=54
1st number=x
2nd number=x+10
3rd number =2(x+10)=2x+20
x+x+10+2x+20=54
put the liketerms together
x+x+2x=54-10-20
4x=24
divide both sides by 4 to get
x=8
Input the other values
Billy Bob has a fish tank shaped like a rectangular prism
that is 20 cm by 20 cm by 16 cm. What is the volume of the
tank? Show your work.
Answer:
[tex]6400{cm}^{3} [/tex]
Step-by-step explanation:
Since this is a rectangular prism, simply multiply all the lengths together:
20×20×16 = 6400
I’m really stuck on this ☹️
Answer:
2 adults and 2 senior citizens.
Step-by-step explanation:
There are 8 children, which means we need to take the number that represents the children from the graph which is 4 and multiply it by the 8 children going.
1. 4x8=32
So we have found the total for the 8 children, however there are 4 spots left
We take the total from the #1 and add 2 adults and 2 senior citizens.
32+6+6+3+3=50
We then come to the conclusion of 2 adults and 2 seniors.
give the equation for the new circle obtained by translating the circle (x-2)^2+(y+4)^2=36 by 6 units to the right and 4 units up explain and show your work please
Answer:
equation for the new circle is;
(x - 8)² + y² = 36
Step-by-step explanation:
There are two types of translations and they are translation horizontally and vertically. Combining both of them in the context of this question, to translate a circle 6 units to the right and 4 units up, we take our equation,
(x - 2)² + (y + 4)² = 36 and subtract 6 from the x - term and 4 from the y - term to get the equation of the new circle.
This gives us;
(x - 2 - 6)² + (y + 4 - 4)² = 36
This gives;
(x - 8)² + y² = 36
Which cannot be the angle measurements of triangle ABC?
Answer: D is incorrect
Step-by-step explanation:
In a box, there are 8 red, 7 blue and 6 green balls. One ball is picked up randomly. What is the probability that it is neither red nor green?
A. 8/21
B. 2/7
C. 1/3
D. 2/3
Answer:
b 2/7
Step-by-step explanation:
Because there is a 6/21 chance and 2/7=6/21
Please help with math will mark brainiest!!!!
Answer:
[tex]54.5 \: ft^2 [/tex]
Step-by-step explanation:
Area of the figure = Area of rectangle + Area of both triangles
[tex]= 11\times 4 +\frac{1}{2} \times 3 \times 4 +\frac{1}{2} \times 3 \times 3\\=44 + 3\times 2+ 3\times 1.5\\= 44 + 6 + 4.5\\=54.5 \: ft^2[/tex]
You want to have your carpet cleaned in your living room which measures 11’ by 14’. A company charges $2.75 per square foot and company B charges $450 per room. Which company should you hire to get a better deal?
Answer:
Since, company A charge of $423.5 is less than company B charge of $450
Hence,
Company A should be hired to get the better deal.
Step-by-step explanation:
Dimension of room: 11 * 14 foot
Area of rectangle is given by length * width
Thus,
area of room using above formula = 11*14 square foot = 154 square foot
For company A
charge for 1 square foot = $2.75
Charge for room = charge for 1 square foot * area of room
= 2.75 * 154 = 423.5
Thus, Total money charged by company A as calculated above is $423.5
Given,
company B charges $450 per room
Since, company A charge of $423.5 is less than company B charge of $450
Hence,
Company A should be hired to get the better deal.
Answer:
Company B
Step-by-step explanation:
How many days will it take a culture of bacteria to increase from 2000 to
50,000? Use k = 0.657.
Answer:
5 days
Step-by-step explanation:
Given: bacteria to increase from 2000 to 50,000
To find: Number of days that a culture of bacteria will take to increase from 2000 to 50,000
Solution:
The growth of bacteria is represented by the equation: [tex]P(t)=P_0e^{kt}[/tex]
Here, t denotes time, k denotes growth rate and [tex]P_0[/tex] denotes initial population of bacteria.
Take [tex]P_0=2000[/tex], [tex]P(t)=50000[/tex] and [tex]k=0.657[/tex]
[tex]50000=2000e^{0.657t}\\\frac{50000}{2000}=e^{0.657t}\\25=e^{0.657t}\\0.657t=\ln 25\\t=\frac{\ln 25}{0.657}=4.9\approx 5\,\,days[/tex]
help me please! I NEED TO HAND IT IN NOW
Answer:
4n + 4
Step-by-step explanation:
Azhar - n years old now.
Last year he was (n-1).
His mother was 4(n -1) last year.
Now his mother 4(n-1) + 1.
7 years later she will be 4(n - 1) + 1 + 7 = 4n - 4 + 8 = 4n + 4
the number 301 can be written as?
Answer:
three hundred and one
Step-by-step explanation:
This wasn't very clear..
Answer: the number 301 can be written as three hundred one.
Step-by-step explanation: the number 301 can be written as three hundred one. To find a, take the number and move a decimal place to the right one position. Now, to find b, count how many places to the right of the decimal. There are 2 places to the right of the decimal place.
Which of the following lists of ordered pairs is a function?
A) (1,1), (2,2), (3,1), (3,2)
B) (-2,3), (2,4), (-3,6), (3,7)
C) (0,3), (-1,4), (1,6), (-1,7)
D) (2,5), (3,-4), (4,7), (2,2)
Answer:
B
Step-by-step explanation:
its B because the input for every pair has the same output, if the input had different outputs it would be considered not a function. Imagine it like a vending machine, if you were to press 3 on the vending machine you would get whatever 3 was, but if you pressed 3 and you get something else besides whatever 3 is it would be broken. I hope this was helpful, I struggled learning this stuff but now I got it down lol.
Factor completely 2x2 + 6x − 80. (2x − 5)(x + 8) (2x − 10)(x + 8) 2(x − 5)(x + 8) 2(x − 10)(x + 8)
Answer:
2(x+8)(x-5)
Step-by-step explanation:
2x^2 + 6x − 80
Factor out a 2
2(x^2 + 3x − 40)
What 2 numbers multiply to -40 and add to 3
8*-5 = -40
8+-5 = -3
2(x+8)(x-5)
The right answer is 2(x-5)(X+8)
please see the attached picture for full solution
Hope it helps
Good luck on your assignment...
When you put your powerade into your refrigerator its temperature is 48 F. If the refrigerator can cool drink at 3.75 F per hour, what will be the temperature of your Gatorade after 2 hours
Answer:
40.5
Step-by-step explanation:
3.75 * 2 = 7.50
48 - 7.50 = 40.5
Kyle drops a ball from a height of 15 feet above the ground. The function h = −16t^2 + 15 gives the height h of the ball (in feet) after t seconds. Graph the function. Then determine the approximate time the ball hits the ground.
Answer:
The ball will hit the ground at 0.968 seconds.
Step-by-step explanation:
Please refer to the attached graph in the answer area.
The given equation of height according to input variable time 't' is:
[tex]h = - 16 t^{2} + 15 ...... (1)[/tex]
h is in feet
t is in seconds
Both the values 't' and 'h' will be positive. (Time and height can never be negative)
To determine the time, at which the ball hits the ground, i.e. the height becomes 0.
Putting value of h = 0 in equation (1)
[tex]0 = - 16 t^{2} + 15 \\\Rightarrow t^{2} = \dfrac{15}{16}\\\Rightarrow t = \sqrt{\dfrac{15}{16}}\\\Rightarrow t = 0.968\ sec[/tex]
Hence, the time at which the ball hits the ground is 0.968 seconds.
Need help ASAP it’s geometry!!
Answer:
EF = 34, FG = 25
Step-by-step explanation:
EG is the total of the two smaller segments, EF and FG.
Therefore:
8x-14 + 4x+1 = EG
8x-14 + 4x+1 = 59
Now we can solve this equation.
8x-14 + 4x+1 = 59
12x-13 = 59
12x = 72
x = 6
Now, we can plug in the values of x into the expressions for the lengths of EF and FG:
EF
8x-14
8(6)-14
48-14
= 34
FG
4x+1
4(6)+1
24+1
= 25
Create your own ratio. Be sure to describe the ratio in words first and then write the ratio as a fraction
[tex]7:3[/tex]
The ratio of 7 to 3.
The ratio as a fraction would be:
[tex]\frac{7}{3}[/tex]
Attachment no explanation only answer
Answer:
y=x+1
Step-by-step explanation:
The slope intercept form of a line is y=mx+b, where m is the slope of the line and b is the y intercept. Since the line rises one unit for every one unit it moves to the right, it has a slope of 1. Since it intersects the y axis at the point (0,1), it has a y intercept of 1. Therefore, the equation is y=x+1. Hope this helps!
Answer:
Hey!
Y= x + 1 is your answer!
Step-by-step explanation:
hope this helps!
Help me please people
Answer:
y = 16x +8
Step-by-step explanation:
Per means for every so and so, and a fee is one-time thing, so 16 would be with x and 8 as the y (intercept)
x^2-2xy+y2 is a polynomial of ___________variable?
Answer:
x and y
Step-by-step explanation:
Answer:
2 variable x and y ( varable are the symbol that can take any balue in a expression)
Remove the bracket a-2(b-3a). *
4 points
a-2b+6a
-2a+7b
7a+2b
-7a-2b
If an 8 hour work day includes a total break time of 22 1/4%, how many hours are used for breaks?
Answer:
1 39/50 hours. This is equivalent to 1.78 hours.
Step-by-step explanation:
The sum of the hours of work and the hours for break gives the work day hour which has been given as 8 hours.
Furthermore, given that the break time is 22 1/4%, the number of hours for break
= 22 1/4% × 8 hours
= 89/400 × 8
= 1 39/50 hours
Write the equation in both factored and standard form?
Answer:
Factored Form: x = y/2 + 7
Standard Form: 2x - y = 14
Step-by-step explanation:
y
6
A
Which graphs are inverses of one another?
Graph A and B
Graph A and C
O Graph B and C
none of the graphs shown
С
DONE
&
6
Intro
Answer: Graph A and C
Step-by-step explanation:
Answer: a&c
Step-by-step explanation:
2020edg
state the coordinates of the endpoints of a line segment that is not parallel to either axis, and does not intersect either axis.
Answer:
Step-by-step explanation:
(2, 3) and (5, 6) are the endpoints of a line segment that is not parallel to either axis and does not intersect either axis.
What is coordinate of point line?
An ordered pair contains the coordinates of one point in the coordinate system. A point is named by its ordered pair of the form of (x, y). The first number corresponds to the x-coordinate and the second to the y coordinate.
What is line segment?A line segment is a piece or a part of line having two end points.
Since, a line segment is parallel to the either one axis if its one coordinate point is zero, whether it's y or x.
So for not parallel to either axis and does not intersect either axis we will choose those points which are not zero.
Therefore,
The coordinates of the end points of a line segment that is not parallel to either axis and does not intersect either axis will be (2, 3) and (5, 6).
Similarly, you can use any point using this concept like (7,9) ad (2,3) and many.
Learn more about line segment here:
https://brainly.com/question/25727583
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