Over the past several years, the owner of a boutique on Aspen Avenue has observed a pattern in the amount of revenue for the store. The revenue reaches a maximum of about $ 46000 in March and a minimum of about $ 28000 in September. Suppose the months are numbered 1 through 12, and write a function of the form ()=sin([−])+ f ( x ) = A sin ( B [ x − C ] ) + D that models the boutique's revenue during the year, where x corresponds to the month. If needed, you can enter π =3.1416... as 'pi' in your answer. ()= f ( x ) =
Answers
Answer:
F(x) = [tex]9000 sin (\frac{\pi }{3} (x-3) + 37000[/tex]
Step-by-step explanation:
Revenue reached in March = $46000 ( Maximum )
Revenue reached in September = $28000 ( Minimum )
f(x)=Asin(B[x−C])+D
attached below is the detailed solution of the problem
attached below is the detailed solution
F(x) = [tex]9000 sin (\frac{\pi }{3} (x-3) + 37000[/tex]
Related Questions
If two lines meet and form right angles, then
Answers
Answer:
Perpendicular
Step-by-step explanation:
If two lines meet and form right angles, then they are perpendicular.
Find the equation of the line in slope-intercept form. f Slope is 2/3 through (3, 4)
Answers
Answer:
y=2/3x+2
Step-by-step explanation:
-5(2x+9)? simplify the expressions by disturbing the negatives and combining like terms
Answers
Answer:
-10x-45
Step-by-step explanation:
Julie had $150. She needed to spend $3.00 for lunch every day. How much money will she have left after 20 days? Please help it's hard
Answers
Answer:
$90 left after 20 days
Step-by-step explanation:
She starts out with 150, right?
She spends $3 each day x 20 days = 60
150 - 60 = 90
Hope this helps! :')
Answer:
multiply 3.00 times 20 and you'll get 60.00 subtract that from 150 and your answer is 90.00 dollars
what is the value of x in the figure Pls help
Answers
Answer: x=18
im assuming that this is a right angle
so if it is then that means the total of the angle should be 90 degrees. so 2x+3x should be equal to 90. Just combine like terms to get that 5x=90 and then isolate the variable (divide by 5 on both sides) so x ends up equaling 18.
so x=18
Sammie bought just enough fencing to border either a rectangular plot or a square plot,
shown. The perimeters of the plots are the same. How many feet of fencing did she buy?
(3x + 6) feet.
———————
| |
| | (x - 1) feet
|__________|
(x + 6) feet
___________
| |
| |
| | (x + 6) feet
| |
|__________ |
Sammie bought____feet of fencing.
Answers
Answer:
3.5 feet
Step-by-step explanation:
The question isn't formatted properly.
We have:
(x + 6) feet on each side of the square
(3x + 6) feet horizontally on the rectangle
(x - 1) feet vertically on the rectangular
First, we need to determine the perimeter of the square:
[tex]Perimeter = 4 * Length[/tex]
[tex]Perimeter = 4 * (x + 6)[/tex]
[tex]Perimeter = 4x + 24[/tex]
Next, we determine the perimeter of the rectangle
[tex]Perimeter = 2(Length + Width)[/tex]
[tex]Perimeter = 2(3x + 6 + x - 1)[/tex]
[tex]Perimeter = 2(3x + x+ 6 - 1)[/tex]
[tex]Perimeter = 2(4x+ 5)[/tex]
[tex]Perimeter = 8x+ 10[/tex]
Equate both perimeters:
[tex]8x + 10 = 4x + 24[/tex]
Collect Like Terms
[tex]8x - 4x = 24 - 10[/tex]
[tex]4x = 14[/tex]
Solve for x
[tex]x = 14/4[/tex]
[tex]x = 3.5[/tex]
find the domain of 5x-2
Answers
what is similar to the word antonym
A. a like
B.diffrent
C.slimmy
D.get ride of
Answers
Answer:B.
Step-by-step explanation: cuz antonym is technically the same thing as different, except different can be used for much more items and thoughts.
I need help with this and can you explain how to do it?
3(2y + 3) + y
Answers
Answer:
7y + 9
Step-by-step explanation:
Given expression:
3(2y + 3) + y;
To solve this problem, apply PEMDAS;
P = parentheses
E = exponent
M = multiplication
D = division
A = addition
S = subtraction
3(2y + 3) + y;
Start solving from the parentheses by applying the distributive property;
6y + 9 + y
= 7y + 9
The average cost of a compact car at a certain dealership over the last 10 years has ranged from $15,000 to $24,500. Suppose you were going to plot these points on a coordinate grid. (a) What is a good scale [range] would be good to use for the y-axis to make a nicely sized graph? Explain your reasoning. (b) What is a good interval [step size] would be good to use for the y-axis to make a nicely sized graph? Explain your reasoning. (c) What is a good scale [range] would be good to use for the x-axis to make a nicely sized graph? Explain your reasoning. (d) What is a good interval [step size] would be good to use for the x-axis to make a nicely sized graph? Explain your reasoning. Note: The step size the distance between the marks on the graph, and the range is the maximum and minimum values (ex: -10 to 10).
Answers
Answer:
this is what i did i apologize if i’m late and u no longer need the answer or if i’m wrong
Step-by-step explanation:
Susan was supposed to use 5/4 of a cup of butter
in her recipe, but she only used 3/4 of a cup of butter.
a. What fraction of the butter that she should
have used did Susan actually use? Make a
math drawing to help you solve this problem
and explain your solution.
b. Describe the different unit amounts that occur
in part (a). Discuss how one amount can be de-
scribed with two different fractions depending
on what the unit amount is taken to be.
Answers
Answer:
[tex]a.\ \dfrac{3}{5}[/tex]
Step-by-step explanation:
We can see the fractions [tex]\frac{5}{4}[/tex] and [tex]\frac{3}{4}[/tex] of cups.
It can be seen that denominator has 4 i.e. the fraction [tex]\frac{1}{4}[/tex].
Let us suppose, a unit is equal to [tex]\frac{1}4[/tex] of a cup.
Susan was supposed to use [tex]\frac{5}{4}[/tex] of a cup.
i.e. 5 units of butter was to be used.
But, actual recipe has only 3 units of butter.
[tex]\text{Fraction of butter used} = \dfrac{\text{Units of butter used}}{\text{Unit of butter Susan was supposed to use}}[/tex]
a. [tex]\text{Fraction of butter used} = \dfrac{3}{5}[/tex]
Alternatively, we could have directly divided the given fractions:
[tex]\dfrac{\dfrac{3}{4}}{\dfrac{5}{4}} = \dfrac{3}{5}[/tex]
The fraction of the butter that she should have used did Susan actually use is :
Fractions =5/4 and 3/4 of cups.
Denominator = 4 i.e. the fraction 1/4
Let us suppose,
A unit is equal to 1/4 of a cup.
Susan was supposed to use 5/4 of a cup.
5 units of butter was to be used.
But, actual recipe has only 3 units of butter.
Fraction of butter used=unit of butter used/unit of butter
that was supposed to
be use
=3/4/5/4
=3/5
The fraction of the butter that she should have been used is 3/5.
Find out more information about "Fractions":
https://brainly.com/question/9047718referrer=searchResults
PLEASE HELP
What is (-i)^5
Answers
Answer:
-i
Step-by-step explanation:
hope this helps my fellow friend.
Answer:
D) i
Step-by-step explanation:
Maura runs 5 miles in 1.25 hours. Ava runs 3 miles in 50 minutes or 0.83¯ hour.
Who runs faster? Use the drop-down menu to show your answer.
Answers
Answer:
Ava
Step-by-step explanation:
because we multiply by 3 miles, 50 minutes, 0.83
and you get 124.5
its not maura because if you multiply 5 miles, by 1.25 hours you get 6.25
sorry if wrong! hope this helps!
Determine whether y^2=−3x−2 is a function.
Answers
Answer:
y=3x-2 is a function because it passes the vertical line test.
Step-by-step explanation:
The given equation y² = - 3x - 2 represents a function.
What is a function?A function is the relation between two sets. The first one is called domain and the second one is called range.
Given, y² = - 3x - 2
For x = 0, y = √(- 3 × 0 - 2) = √(-2)
For x = 1, y = √(- 3 × 1 - 2) = √(-5)
For x = -1, y = √[- 3 × (- 1) - 2) = ± 1
For any value of 'x' in the domain, 'y' has at least a value in the range.
Hence, the given equation represents a function.
Learn more about a function here: brainly.com/question/3951330
#SPJ3
3. An almirah is sold at 5,225 after allowing a discount of 5%. Find its marked price.
Answers
Answer:
4,963.85
Step-by-step explanation:
Look at this as a fraction and break it down.
Simplify as much as possible:
-70
-28
Answers
Answer:
espera y termino y te ayudo vale que me falta poco vale
Which measure is equivalent to 3 mi?
1 ft = 12 in.
1 mi = 5280 ft
Answers
Answer:The 3 mi is equivalent to 190080 in. Step-by-step explanation: As given. 1 mi = 5280 ft. 1 ft = 12 in. Now first convert 3mi into ft . 3mi = 3 × 5280. = 15840 ft.
Find the surface area of a right cone with a diameter of 6 inches and a slant height of 5 inches.
Answers
Answer:
about 172.82
Step-by-step explanation:
Answer:
83.23
Step-by-step explanation:
to work out surface area of a right cone u
A=πr(r+h2+r2)
hope this helps
im not sure if its right tho
If 5/9 of a tank can be filled in 2minutes , how many minutes will it take to fill the whole tank?
Answers
Answer:
4 1/2 minutes
Step-by-step explanation:
.
Write 82/1000 as a decimal
Answers
Answer: 0.082
Step-by-step explanation: Two Ways: Divide 82.000 by 1000 which equals to 0.082. OR Write 82 and then move the decimal 2 spots to the left, so that it turns into 0.082.
The length of a table is 110 cm to the nearest cm
Write down the error interval using inequalities.
10 points for right answer
Answers
Answer: they didn’t give the exact answer.
Step-by-step explanation: they rounded to the nearest.
What is the answer to this problem
Answers
Answer:
All of the above
Step-by-step explanation:
Hope this helps
2. What is the measure of the missing angle? *
C-120
B-95
A-85
What is D?
Answers
Answer:
60
Step-by-step explanation:
it is because 360-(120+85+95)
A total of 443 tickets were sold for the school play. They were either adult tickets or student tickets. There were 57 fewer student tickets sold than adult tickets. How many adult tickets were sold?
Answers
Answer
386
Step-by-step explanation:
Do the math 443-57
the set
of whole number less than 20
Answers
Answer:
maybe 3, 6, 9, 12, 15, 18?
Step-by-step explanation:
sorry if this doesn't help but I hope someone else can help you! good luck
How many proportional relationships are shown in the coordinate plane below? Please answer quick i will give 35 points
Answers
Answer:
its not zero i check and got in incorrect the correct answer is 1
Step-by-step explanation:
Answer:
The answer is B) There is one proportional relationship
Step-by-step explanation:
The green line (the one at the top) does not go through the origin. This is not a proportional relationship.
Problem: It does not go through 0,0
----------------------------------------------------------------------------------------------------------------
The blue line (the one in the middle) is a straight line through the origin. This is a proportional relationship.
Reason: It goes through 0,0
----------------------------------------------------------------------------------------------------------------
The purple line (the one at the bottom) does not go through the origin. This is not a proportional relationship.
Problem: It does not go through 0,0
----------------------------------------------------------------------------------------------------------------
Conclusion: Since the green and purple lines are not proportional but the blue line is, this means only 1 line is proportional.
Note:
I know my answer is very late but I wanted to help anyone who needs it for future reference.
SOMEONE HELP WITH MY LAST TWO PROBLEMS
Answers
Answer:
What are your last 2 problems m8
Step-by-step explanation:
answer this for 40 points :D
Answers
Answer:
I wish I knew . I have a question for you. wait nah... Thanks for the points my mate ... sorry about it . I need points .
Step-by-step explanation:
friend me if you want :)
Answer:
this is not 40 points its 20 ?
Step-by-step explanation:
While attending a baseball game, Eva buys hamburgers and hotdogs for her family. The number of hot dogs bought is five more than the number of hamburgers bought. Hamburgers cost $6.25 each and hot dogs cost $3.75 each. Eva spent a total of $58.75 on the hamburgers and hot dogs.
Answers
Answer:
2.35 hamburgers
Step-by-step explanation:
H6.25 + H18.75 = 58.75
A regular hexagon is rotated about its center. By which angle could the hexagon be rotated so that it is mapped onto itself?
30°
45°
600
90°
Previous
Answers
Answer: 60
Step-by-step explanation: