Mathematics, 01.06.2021 03:40 TrueKing184

Two companies modeled their profits for one yeor Which stotement describes the relationship between the profits, predicted by the models of the two companies?

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Answer from: SoccerdudeDylan

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 $P(t) = (1.8)(1.4)^t$ 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 :

$P(t)=mt+c$

Here, m = slope of line

c = y-intercept

According to the data from the table , we see that the two points (3.5) and (4.10) lies on the line so that the slope of the line is represented by :

$\frac{y-y'}{x-x'}=\frac{10-5}{4-3}=5$

The point (3.5) passes through the given line.

∴ $5=5(3)+c$

$5=15+c$

$c=5-15$

$c=-10$

Therefore, the function will be $P(t) = 5t-10$

So, at t=4 ,

the profit of the company A is $P(4)=(1.8)(1.4)^4$

= 6.91

the profit of the company A is $P(4)=5(4)-10$

= 20 - 10

= 10

Therefore, t=4 , the profit of the company B is more than the profit of company A.

Now at t=12 ,

Profit of company A is $P(12) =(1.8)(1.4)^{12}$

= 102.05

Profit of company B is P(12)=5(12)-10

$=66-10$

= 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.

Two companies modeled their profits for one yeor Which stotement describes the relationship between

Answer from: Quest

10/60

step-by-step explanation:

if you divide 10 by 60 the answer is 0.166666 while if you divide or solve the other problems it equals 0.6

Answer from: Quest

2 & 7

step-by-step explanation:

he climbs 300 ft/hr at a constant rate. the peak is at 1,500 ft.

when going up, he reaches 600 ft in 2 hours. remember, that he is going in a constant rate. divide 600 with 300:

600/300 = 2

assuming that he takes the same route back (meaning that it's a 1500 ft route back, you can solve.

note also that you are solving when he gets back to 600 ft after he reaches the peak.

first, find the amount of hours it takes to get up the peak. divide the total amount (1500), with the ft/her (300) to get the amount of hours (x):

1500/300 = x

x = 5

it takes jamie 5 hours to get up. now, he is returning down, and reaches 600 (his current destination). remember that he climbs at a constant 300 ft/hr. divide 600 with 300:

600/300 = x

x = 2

now add the two numbers together.

x = 5 + 2 = 7

jamie takes 7 hours to go up the mountain and reach his current position when descending.

(total amount/constant rate) = (time).

remember that it is a constant rate, so in total, when he gets back down the mountain, it will take the same amount of time as when he goes up. the total amount for the round trip is: 5 + 5 = 10.