Answer:

Step-by-step explanation:
Given information:
Maximum revenue = 42000
Minimum revenue = $25000
Time period = 12 months
We need to write a function that models the boutique's revenue during the year, where corresponds to the month.
.... (1)
where, A is amplitude,
is period, C is phase shift and D is midline.




Substitute the value of A, B and D in equation (1).
..... (2)
In April, revenue of the store is $42000. So, the graph passes through the point (4,42000).



Divide both sides by 8500.


On comparing both sides we get




Substitute the value of C in equation (2).
Therefore, the required function is
.
Answer:
D, (4,-4) satisfies both equations.
Step-by-step explanation:
The answer to a system of equations is where the lines intersect, and these lines intersect at (4,-4)
Answer:
The mass of sun is 333333.33 times greater than the mass of earth
Step-by-step explanation:
Given as :
The mass of the sun =
kg
The mass of earth =
kg.
Let The mass of sun is x times greater than the mass of earth
i.e The mass of sun = x × The mass of earth
or,
kg =
kg × The mass of earth
Or, x = 
Or, x = 
∴ x = 333333.33
So, The mass of sun = 333333.33 × The mass of earth
Hence, The mass of sun is 333333.33 times greater than the mass of earth Answer
Answer:
Sara:17
Mark:51
Caroline:34
Step-by-step explanation:
Sara:Mark: Caroline: total
1 : 3 : 2 : 1+3+2 = 6
We want 102 for a total
102/6 =17
Multiply each term by 17
Sara:Mark: Caroline: total
1*17 : 3*17 : 2*17 : 6*17
17 : 51: 34 :102