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hellodarkness14
02.11.2019 •
Mathematics
Me and tell me the ancer to the number too
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Ответ:
2.) Product means multiply. So,
-8 × -7 = 56
3.) Simply multiply the options. Starting with A.
A.) (2)(20) = 40
B.) (-4)(-10) = 40
C.) (8)(-5) = -40 <--
D.) (-7)(60) = -420
Ответ:
The question is incomplete. The complete question is :
Two companies modeled their profits for one year.
Company A used the function P(t)=1.8(1.4)^t to represent its monthly profit, P(t), in hundreds of dollars, after t months, where 0 < t ≤ 12. Company B used the data in the table to write a linear model to represent its monthly profits.Which statement describes the relationship between the profits, predicted be the models, of the two companies?
Solution :
For one year, the two companies A and B modeled their profits.
It is given that :
Company A uses function
in order to represent the monthly profit of the company in hundreds of dollars after a time
.
But the company B uses the data in the table in order to write the linear model to represent their monthly income.
We know the linear function is given by :
Here, m = slope of line
c = y-intercept
According to the data from the table , we see that the two points
and
lies on the line so that the slope of the line is represented by :
The point
passes through the given line.
∴![$5=5(3)+c$](/tpl/images/1356/9827/42c03.png)
Therefore, the function will be![$P(t) = 5t-10$](/tpl/images/1356/9827/020d7.png)
So, at
,
the profit of the company A is![$P(4)=(1.8)(1.4)^4$](/tpl/images/1356/9827/9c715.png)
= 6.91
the profit of the company A is![$P(4)=5(4)-10$](/tpl/images/1356/9827/b4656.png)
= 20 - 10
= 10
Therefore,
, the profit of the company B is more than the profit of company A.
Now at
,
Profit of company A is![$P(12) =(1.8)(1.4)^{12}$](/tpl/images/1356/9827/b1e70.png)
= 102.05
Profit of company B is![P(12)=5(12)-10](/tpl/images/1356/9827/44a65.png)
= 56
Therefore, the profit of company A is more that that of company B at the end of the year one.
Thus, company B had a greater profit for the fourth month and ended the year with the greater monthly profits than company A.
Option (B) is the correct answer.