Answer: x= -1
y= -2
Step-by-step explanation:
-4x+3y= -2
y=x-1
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-4x+3(x-1)= -2
-4x+3x-3= -2
-x=1
x= -1
y=-1-1
y=-2
Answer:
option B
Step-by-step explanation:
Top right graph
Answer:
A- $3500
Step-by-step explanation:
The depreciation rate is $300
$5000, $4700, $4400
$300 x 3 = 900
$4400 - 900 =
$3500.
Answer:
- <u>Question 1:</u>
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- <u>Question 2:</u>
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- <u>Question 3:</u>
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- <u>Question 4:</u>
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Explanation:
<u>Question 1: Write down the differential equation the mass of the bacteria, m, satisfies: m′= .2m</u>
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a) By definition: 
b) Given: 
c) By substitution: 
<u>Question 2: Find the general solution of this equation. Use A as a constant of integration.</u>
a) <u>Separate variables</u>

b)<u> Integrate</u>


c) <u>Antilogarithm</u>



<u>Question 3. Which particular solution matches the additional information?</u>
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Use the measured rate of 4 grams per hour after 3 hours

First, find the mass at t = 3 hours

Now substitute in the general solution of the differential equation, to find A:

Round A to 1 significant figure:
<u>Particular solution:</u>

<u>Question 4. What was the mass of the bacteria at time =0?</u>
Substitute t = 0 in the equation of the particular solution:

Answer: B
The series converges because it has a sum of 4.
Step-by-step explanation: