Answer:
43.5%
Step-by-step explanation:
Substitute the original price of $850 and the sale price of $480 to find
amount of discount=850−480=370
Use the amount of discount, $370, to find the discount rate. Use the equation
amount of discount=discount rate×original price.
Rearrange the equation to solve for the unknown value.
discount rate=amount of discountoriginal price
Substitute in the known values and solve to find the discount rate.
370850=0.435=43.5%
Thus, the discount rate on the patio set was 43.5%.
Describe each graph in relation to its basic function.
a. Compare f(x) = (x - 2)^3 - 1 to the basic function g(x) = x^3
Explain in full sentences please!
Answer:
In a nutshell, [tex]f(x)[/tex] is obtained by applying an horizontal translation on [tex]g(x)[/tex], followed by a vertical translation.
Step-by-step explanation:
Let be [tex]g(x) = x^{3}[/tex] the parent function, [tex]f(x)[/tex] is obtained by applying an horizontal translation on [tex]g(x)[/tex], followed by a vertical translation, that is:
[tex]f(x) = g(x-a)-b,\,a,b\in\mathbb{R}[/tex] (1)
If [tex]a > 0[/tex], then translation is rightwards.
If [tex]b > 0[/tex], then translation in downwars.
If [tex]a = 2[/tex] and [tex]b = 1[/tex], then the resulting function is:
[tex]f(x) = g(x-2)-1[/tex]
[tex]f(x) = (x-2)^{3}-1[/tex] (2)
In a nutshell, [tex]f(x)[/tex] is obtained by applying an horizontal translation on [tex]g(x)[/tex], followed by a vertical translation.
An antique chair was purchased in the year 2013 for $500. At the time of purchase, an appraiser estimated that the value would increase by 10% per year. According to the appraiser's estimate about the value of the chairwhich statements are true?
Select ALL that apply
A. Alinear model provides the best of the estimated values.
B. The value will increase by 30% in the first 3 years.
C. After 2 yearsthe value will be $605.
D. The rate of change of the value will decrease over time
E.The value will increase by $50 in the first year
Answer:
C and E
.................
The true statements are (C) After [tex]2[/tex] years the value will be $[tex]605[/tex] and (E) The value will increase by $[tex]50[/tex] in the first year.
Compound Interest:Compound interest (or compounding interest) is the interest on a loan or deposit calculated based on both the initial principal and the accumulated interest from previous periods.
In the first year, the value[tex]=[/tex] $[tex]500+500\times \frac{10}{100}[/tex]
[tex]=500\left ( 1+\frac{10}{100} \right ) \\ =\left ( 500\times 1.1 \right )[/tex]
[tex]=[/tex]$[tex]550[/tex]
Change in price=$[tex]50[/tex]
After 2 years, the price is=$[tex]550+[/tex]$[tex]550 \times\frac{10}{100}[/tex]
=$[tex]550\times(1+\frac{10}{100} )[/tex]
=$[tex]550\times(1.1)[/tex]
=$[tex]605[/tex]
After 3 years, the price=$[tex]605+605\times\frac{10}{100}[/tex]
[tex]=605(1+\frac{10}{100} )[/tex]
[tex]=(605\times1.1)[/tex]
[tex]=[/tex]$[tex]665.5[/tex]
Rate of change[tex]=\frac{(665.5-500)}{500} \times100[/tex]%
[tex]=\frac{165.5}{5}[/tex]%
[tex]=33.1[/tex]%
[tex]\neq 30%[/tex]%
According to the problem, an exponential pt model provides the best fit.
Therefore, the true statements are an option C and E.
Learn more about the topic Compound Interest: https://brainly.com/question/26574136
The lengths of the sides of a triangle are in the extended ratio 4 : 5 : 8. The perimeter of the triangle is 85 centimeters. Find the length of the shortest side.
Answer:
the answer is 20
Step-by-step explanation:
Which of the following is equivalent?
Seven clowns hold 4 balloons each at the fair. Draw and label a tape diagram to show the total number of balloons the clowns hold.
Answer:
7 times 4 which is 28 at each fair.
Lainey brought a set of 22 markers for $6. What is the cost of 1 marker? Round answers to the nearest hundredths where necessary.
Consider a savings account earning annual compound interest with no additional deposits or withdrawals made after the initial deposit. The balance in the account after x years can be modeled by the function s(x) = 2.000(1.045) Which statement is the best interpretation of one of the values in this function? A) The initial balance of the account is $2,000. B) The balance in the account at the end of one year is $2,000. The initial balance of the account increases at a rate of 104.5% each year. D) The initial balance of the account decreases at a rate of 4 5% each year.
Answer:
The initial balance of the account is $2,000.
Step-by-step explanation:
I took the test on usa test prep
Answer:The initial balance of the account is $2,000.
f(x) = abx, where a = initial value, b = change factor, and x = time period.
a machine produces 440 bolts in 48 minutes. At the same rate, how many bolts would be produced in 30 minutes
Answer:
it is your answer..... if it is helpful plzz like and comment
Jenny has some tiles in a bag. The tiles are of three different colors: purple, pink, and orange. Jenny randomly pulls a tile out of the bag, records the color, and replaces the tile in the bag. She does this 50 times. The results are recorded in the given table:
Color of Tile Purple Pink Orange
Number of times the tile is drawn 6 18 26
What is the experimental probability that Jenny will pull out a purple tile? (5 points)
fraction 6 over 50
fraction 44 over 50
fraction 6 over 44
fraction 18 over 44
Answer:
Step-by-step explanation:
i am not sure do they give you a number of tiles
Answer:
A: 6/50
Step-by-step explanation:
i think
Please help me lol ......................
Answer:
A
Step-by-step explanation:
Answer:
a
Step-by-step explanation:
simple logic
Marcos is making a pyramid in his wood shop class. The base of the pyramid is a rectangle. 6 What is the surface area of the pyramid? Show your work.
The height of a cuboid whose volume is 385 cu cm and base area is 35 sq cm is
Answer:
11cm
Step-by-step explanation:
Given data
Volume of cuboid =385 cm^3
Base area= 35cm^2
We know that
Volume = Area* Height
substitute and solve for Height
385=35*H
H= 385/35
H= 11cm
Hence, the height is 11cm
16. On a yachting trip in the South Pacific, you discover a previously unknown island. You notice that there is a population of especially fluffy and particularly cute long-eared rabbits living there. These rabbits seem to have no predators at all on the island, and their mating habits seem to be perfectly random. When they are first surveyed, they have an average ear length of about 18 cm. When they are sampled again in five years, what will likely be true of their ear length
Answer: Their ear length will be thesame because there's no force of evolution.
Step-by-step explanation:
Based on the information given in the question as we are informed that the rabbits have no predators and that their mating habits seem to be perfectly random.
We should note that when they are sampled again in five years, due to the fact that there's no source of evolution, their ear length will be thesame. Also, their offspring number will be thesame as well.
What is the percent decrease from 61 to 11?
Jessica is playing a game where there are 4 blue markers and 6 red markers in a box. She is going to pick 3
markers without replacement.
If she picks all 3 red markers, she will win a total of $500. If the first marker she picks is red but not all 3 markers
are red, she will win a total of $100. Under any other outcome, she will win $0.
What is the expected value of Jessica's winnings?
Round your answer to the nearest cent.
Answer:
The probability of Jessica picking 3 consecutive red markers is: (1/6)
The probability of Jessica's first marker being red, but not picking 3 consecutive red markers is:
(3/5)−(1/6)=(13/30)
So i am bit stuck here
what i think is it shouldn't be that complex it should be as simple as chance of Jessica's first marker being red=chance of getting red 1 time i.e P(First marker being red)=(6/10) can any explain me the probability of Jessica's first marker being red=(13/30)?
Step-by-step explanation:
Answer:
$126.67
Step-by-step explanation:
Which function's graph has the same y Intercept as the line shown?
Оу в x +1
Oy -5x + 5
O y .5x-5
O y: 5x - 1
The graph has the same y Intercept as the line shown is y = 5x - 5.
What is Slope?A line's slope is determined by how its y coordinate changes in relation to how its x coordinate changes. y and x are the net changes in the y and x coordinates, respectively. Therefore, it is possible to write the
change in y coordinate with respect to the change in x coordinate as,
m = Δy/Δx where, m is the slope
We take two points from the graph as (-5, 0) and (0, -5)
So, the slope of line
slope = (-5 - 0)/ (0- (-5))
slope= -5 / 5
slope= -1
Using slope intercept form
y= mx+ b
y= -x+ b
Now, put x= -5 and y= 0 then
0 = -(-5)+ b
b= -5
So, the equation of line is
y= -x - 5
Here, the y intercept is -5.
So, the equation with same y intercept is
y = 5x - 5
Learn more about slope here:
https://brainly.com/question/3605446
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People attending a basketball game either supported the home team or the visiting team. If 893 of the people attending supported the home team and 1007 supported the visiting team, what percentage supported the home team?
Answer:
47%
Step-by-step explanation:
893/1900=x/100 x=47%
You are making a poster to support your friend for homecoming. Your original photo is 4 inches by 6 inches. You want the photo on the poster to be 2 feet by 3 feet. What is the scale factor of this dilation? show work pls :(
Answer:
6
Step-by-step explanation:
2 ft = 24in so 4 to 24 is times 6
3ft=36 in and 6 to 46 is times 6
Answer:
6/1
Step-by-step explanation:
2ft=24 inches
3ft=36 inches
poster/original photo
24in/4in=6/1
36in/6in=6/1
6/1
i need help with everything please if you help you are a legend please.
2. Closer to 0. Because it is always getting smaller. The smaller it gets, the closer it get to 0.
3.
a. Closest to 1.
b. Closest to 0.
c. (1/12)
4.
a. Closest to 1.
b. Closest to (1/2)
c. (14/16)-(10/16)=(4/16)
A15,3), B12,1), and C-2, 4) are the coordinates of a triangle's vertices. If the triangle is reflected over the x-axis, what are
the coordinates of the image?
O A'(-5,3), B(-2,1), C(2,4)
A'(-5,3), B(-2,1). C(-2,4)
O A'(-5,-3), B(-2,-1), C(2,-4)
A(5.-3), B(2.-1). C(-2,-4)
8x = 60 . What does X equals?
Answer:
7.5
Step-by-step explanation:
60/8
7.5
x=7.5
Answer:
X= 7.5
Step-by-step explanation:
Tell whether the angles are adjacent or vertical. Then find the value of x . 117° xº
Answer:
please give the picture
Step-by-step explanation:
I will then solve this
I need help with that one anyone can help me please
Answer:
11: 1 tens, 1 ones 17: 1 tens, 7 ones 17 is greater number, it is greater by 6
How many solutions can be found for the system of linear equations represented on the graph?
A)no solution
B) one solution
C)two solutions
D) infinitely many solutions
Answer this correctly I’ll give brainalist + 10 points
Plss I need help
ASAP
Answer:
21x+56 %thats ur answer hope it worked !
Answer:
21x
Step-by-step explanation:
ssjsjsjsjsjsssjsjsss
Express as a difference: a+b, a+5
Answer:
a - (-b), a - (-5)
Step-by-step explanation:
A double negative negative is a positive, so a - (-b) = a + b, and a - (-5) is a + 5. However, a double negative is still a difference, so this answer works.
Answer:
The answer is a-(-b)
Step-by-step explanation:
It says difference, so you delete plus sign with minus sign
Use the Distance Formula to find the distance between (5. – 4) and (0.8).
Answer:
0.8
Step-by-step explanation:
[tex]d = s \times t[/tex]
Lin has a maximum of $40 to spend at the movies. The movie ticket costs $10. After purchasing the ticket, she can spend d dollars to buy food items at the movies.
Which inequality can be used to find the possible values for d?
Answer:
d ≤ 30
Step-by-step explanation:
40 - 10 = 30
she will be able to spend at most 30 dollars
Please Help me, what the answer