I need help or I fail 7th grade

The rate of growth of profit (in millions) from an invention is approximated by Upper P prime (x )equals x e Superscript negati

Alecsey [184]

Answer:

The function is $P(x) = \frac{1}{2} e^{-x^2} +0.016$

Step-by-step explanation:

From the question we are told that

The rate of growth is $P'(x) = xe^{x} - x^2$

The total profit is $P(2) =$ $25,000

The time taken to make the profit is $x = 2 \ years$

From the question

$P'(x) = xe^{-x^2}$ is the rate of growth

Now here x represent the time taken

Now the total profit is mathematically represented as

$P(x) = \int\limits {P'(x)} \, = \int\limits {xe^{-x^2}} \,$

So using substitution method

We have that

$u = - x^2$

$du = 2xdx$

So

$p(x) = \int\limits {\frac{1}{2} e^{-u}} \, du$

$p(x) = {\frac{1}{2} [ e^{-u}} +c ]$

$p(x) = {\frac{1}{2} e^{-x^2}} + \frac{1}{2} c$ recall $u = - x^2$ and let $\frac{1}{2} c = Z$

At x = 2 years

$P(x) =$ $25,000

So

Since the profit rate is in million

$P(x) =$ $25,000 = $\frac{25000}{1000000} =$ $0.025 millon dollars

So

$0.025 = {\frac{1}{2} e^{-2^2}} + Z$

=> $Z = 0.025 - {\frac{1}{2} e^{-2^2}}$

$Z = 0.016$

So the profit function becomes

$P(x) = \frac{1}{2} e^{-x^2} +0.016$

5 0

3 years ago

I will mark as brainliest if you can answer. :)

Yuri [45]

not enough information

8 0

3 years ago

Hey, sisters help me out so i can get this finished by Friday. Answer all please not just one not just two not just three, if yo

Kobotan [32]

Answer:

Step-by-step explanation:

First question 1 = 0.3 = 0.7

Second question 60/5=12 so 12 hours

Third question first find lcm so 6

2 3/6 and 7 2/6

2.5 + 2.5 = 5 so 2 cakes

Fourth question

729/14 um calculator but ok 729/14=52.07 so 52.1

You said you'd report me if i only did 3,2,or 11 but i did 4 so i think im fine

5 0

3 years ago

David is going to invest $330 and leave it in an account for 20 years. Assuming the

Cerrena [4.2K]

Answer:

$1255.

Step-by-step explanation:

Mark me brainlest!

3 0

3 years ago

Least the containers from least to greatest capacity; 1.73, 2.061, 1.59, 2.1

RSB [31]

Answer:

1.59 < 1.73 < 2.061 < 2.1

Step-by-step explanation:

Hello,

We know that 2 is higher than 1. So to pick the first ones we know it won't be the two numbers starting with a 2. We are left with two numbers : 1.73 and 1.59. <u>In this case we can multiply these two numbers by 100. We are allowed to do this only if we do it to all the numbers we are trying to figure out.</u> In this case, it is 1.73 and 1.59 (we are excluding the 2s). So we end up with : 173 and 159. This might help you. We obviously know that 173 is a larger number than 159.

So, we then proceed to the numbers starting with a 2. <u>In this case we can multiply both by 1,000 considering the fact that the number 2.061 has 3 digits after the dot.</u> This will make it easier for us. When we multiply both by 1,000 we end up with 2,061 and 2,100. We obviously know that 2,061 is smaller than 2,100.

I hope this helped

Kind regards,

Clém

7 0

3 years ago