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True [87]
3 years ago
12

Starbucks opened two new locations. Location A costed $800 to open but makes $100 a month. Location B costed $1200 to open but m

akes $200 a month. Determine how long it will take for the locations to have made the same amount after paying off their costs and how much that amount is. *
Mathematics
1 answer:
zzz [600]3 years ago
3 0

Answer:

I think it is A that will take longer but im not 100 percent sure

Step-by-step explanation:

First write an equation:

Location A-   800+100x

Location B-  1200+200x

Then you need to plug numbers in for x

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The function f(x) = –x2 + 20x – 75 models the profit from one customer, in dollars, a shop makes for printing photos, where x is
trasher [3.6K]
The function is graphed as shown below

Part A:

We use the formula - \frac{b}{2a} to find the vertex of the function. A quadratic function of the form of a x^{2} +bx+c and equating this form to the given function - x^{2} +20x-75, we have
b=20 and a=-1.

Substituting a and b into the vertex formula, we have
x=- \frac{20}{2(-1)}=10, as shown in the graph

This calculation means that the highest profit is achieved when the number of photo printed equals to ten photos

Part B:

We can find solution to this equation by factorising

- x^{2} +20x-75=0
-( x^{2} -20x+75)=0
x^{2} -20x+75=0
(x-5)(x-15)=0
x=5 and x=15, as shown in the graph

The two values means that the company makes no profit when they either produce 5 or 15 photos

8 0
4 years ago
Can Someone tell me how to find a rate of change and an initial value
kow [346]

Depends on which rate of change you're talking about. The rate of change is another term for a slope of a function. There's two(2) different version of rate of change.

First version one is the instantaneous rate of change. aka derivative. This one is found simply by taking the derivative of a function.

Second version is the average rate of change, which is found using the slope formula, (y₂ - y₁)/(x₂ - x₁)

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

Initial value problem should give you an initial point (x, y) to plug into your function. You plug those x,y value in to find your answer.

There's variation of initial value problems so I can't give you any specific details on how to do it unless you can post the question.

8 0
3 years ago
A truck can be rented from Company A for ​$130 a day plus ​$0.40 per mile. Company B charges ​$70 a day plus ​$0.60 per mile to
almond37 [142]

Answer:

You have to use the equation 130+.40x and 70+.60x just replace x with any number, but the answer  to each equation must be the same.

Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
Find the gradient of the line segment between the points (-2,3) and (-5,7)
Rudiy27

Answer:

\frac{4}{ - 3}

Procedures:

\frac {y2 - y1}{x2 - x1}

\frac{7 - 3}{ - 5 -  - 2}

\frac{7 - 3}{ - 5 + 2}

\frac{4}{ - 3}

7 0
3 years ago
What is the tangent ratio for ∠B?
mars1129 [50]

Answer:

Your answer is

tangent ratio of B is 3/2

Mark my answer as brainlist . I need that urgently . Folow me for more answer.

Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
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