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2 years ago

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Yoo anyone want to datenever gonna give you up

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lesya692 [45]2 years ago

4 0

No one wants to date you or anyone else because this is a Q&A app for homework, Quizs, and Classwork.

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Find all of the equilibrium solutions. Enter your answer as a list of ordered pairs (R,W), where R is the number of rabbits and

zloy xaker [14]

Answer:

$(0,0)$ $(4000,0)$ and $(500,79)$

Step-by-step explanation:

Given

See attachment for complete question

Required

Determine the equilibrium solutions

We have:

$\frac{dR}{dt} = 0.09R(1 - 0.00025R) - 0.001RW$

$\frac{dW}{dt} = -0.02W + 0.00004RW$

To solve this, we first equate $\frac{dR}{dt}$ and $\frac{dW}{dt}$ to 0.

So, we have:

$0.09R(1 - 0.00025R) - 0.001RW = 0$

$-0.02W + 0.00004RW = 0$

Factor out R in $0.09R(1 - 0.00025R) - 0.001RW = 0$

$R(0.09(1 - 0.00025R) - 0.001W) = 0$

Split

$R = 0$ or $0.09(1 - 0.00025R) - 0.001W = 0$

$R = 0$ or $0.09 - 2.25 * 10^{-5}R - 0.001W = 0$

Factor out W in $-0.02W + 0.00004RW = 0$

$W(-0.02 + 0.00004R) = 0$

Split

$W = 0$ or $-0.02 + 0.00004R = 0$

Solve for R

$-0.02 + 0.00004R = 0$

$0.00004R = 0.02$

Make R the subject

$R = \frac{0.02}{0.00004}$

$R = 500$

When $R = 500$ , we have:

$0.09 - 2.25 * 10^{-5}R - 0.001W = 0$

$0.09 -2.25 * 10^{-5} * 500 - 0.001W = 0$

$0.09 -0.01125 - 0.001W = 0$

$0.07875 - 0.001W = 0$

Collect like terms

$- 0.001W = -0.07875$

Solve for W

$W = \frac{-0.07875}{ - 0.001}$

$W = 78.75$

$W \approx 79$

$(R,W) \to (500,79)$

When $W = 0$ , we have:

$0.09 - 2.25 * 10^{-5}R - 0.001W = 0$

$0.09 - 2.25 * 10^{-5}R - 0.001*0 = 0$

$0.09 - 2.25 * 10^{-5}R = 0$

Collect like terms

$- 2.25 * 10^{-5}R = -0.09$

Solve for R

$R = \frac{-0.09}{- 2.25 * 10^{-5}}$

$R = 4000$

So, we have:

$(R,W) \to (4000,0)$

When $R =0$ , we have:

$-0.02W + 0.00004RW = 0$

$-0.02W + 0.00004W*0 = 0$

$-0.02W + 0 = 0$

$-0.02W = 0$

$W=0$

So, we have:

$(R,W) \to (0,0)$

Hence, the points of equilibrium are:

$(0,0)$ $(4000,0)$ and $(500,79)$

4 0

3 years ago

At a restaurant, Brianna and Naomi each order an appetizer for $6.50 and an entree for $9.75. The sales tax is $0.98 and they le

laila [671]

Given :

At a restaurant, Brianna and Naomi each order an appetizer for $6.50 and an entree for $9.75.

The sales tax is $0.98 and they leave a tip of $5.85.

To Find :

How much did Brianna and Naomi spend in all.

Solution :

Total expenses, T = Food + tax + tip

T = $( 6.50+9.75) + $0.98 + $5.85

T = $( 16.25 + 0.98 + 5.85 )

T = $23.08

Therefore, total expenses is $23.08 .

Hence, this is the required solution.

7 0

3 years ago

a store is selling cookies for $8.00 for 12 bags. how much will it cost if you want to buy 30 for your class

andrey2020 [161]

Ok so first you will need 3 bags since 12*2 is 24 that wont be enough for the whole class so 12*3= 36 so now that we figured out how many bags we need now we have to multiply $8.00 by three the answer is $24

7 0

3 years ago

Read 2 more answers

elizabeth and her sister each go to the store to buy a piece of pizza for $1.25 and a soda for $0.85 each. How much do they spen

Radda [10]

11
125
85
------
210
2
---------
420
3
--------
$12.50

6 0

3 years ago

HELP ME ITS TIMED !!!!!!

Kazeer [188]

Answer:

it would be c

Step-by-step explanation:

3 0

3 years ago