Carlie runs two different business. She needs to pay $100 for materials, and pay her associates $12 per hour for
1 answer:
Answer:
Step-by-step explanation:
Carlie is running two different business.
She needs to pay:
- For the childcare business,
100$ for the materials
12$ per hour for each associate for her childcare business, so if we call:
= the number of hours worked by each associate
= the number of associates
The total cost for the childcare business is:
(1)
- For the lawn care business,
275$ for the materials
10$ per hour for each associate for her lawn care business, so if we call:
= the number of hours worked by each associate
= the number of associates
The total cost for the lawn care business is:
(2)
Therefore, the total expenses from both businesses is the sum of (1) and (2):
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Answer:
The actual number of calories that Mya burned when she
trained for 30 minutes is 240.
Step-by-step explanation:
We have an exponential function that is the best fit for the number of calories Mya burns, in function of time (minutes).
The function is:
Where y: calories burned, and x: training time.
Whenever we use regression models, we have a real value and a predicted value. The difference between them, the measure we want to minimize when we adjust with this typo of models, is called residual.
In the table is shown as one of the columns.
For example, for x=10 minutes, we have a real value of 30 and a predicted value of 78.36, so the residual becomes e=30-78.36=-48.36.
For x=30 minutes, we have only the residual, that has a value of 5.53. That means that the predicted value, which we can calculate, is 5.53 below the real value.
The predicted value for x=30 is:
Using the equation for the residual e, we can calcualte the actual number of calories that Mya burned in 30 minutes: