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Mrac [35]
3 years ago
11

The population of a city was 572,000 in 2010. In the 2000 census the population was 607,000. What was the rate of decrease of th

e population from one census to the next? Round to the nearest percent.
Mathematics
1 answer:
kramer3 years ago
7 0

Answer:

6%

Step-by-step explanation:

<em>To solve this you need to subtract 607000 by 572000 to see how many people in the population decreased.</em>

607,000- 572,000= 35,000

Then you put 35,000 over 607,000

also you need x over 100

35000/607,000 x/100

Then do cross product property

35,000*100=3,500,000

607,000* x= 607,000x

3,500,000= 607,000x

Then do 3,500,000 divided by 607,000

You get 5.76%

Round to the nearest percent and get 6%

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8) (10) Solve the equation y''=x^2-y+3y' y(0)=1 and y'(0) =-1
defon

y''-3y'+y=x^2

The corresponding homogeneous equation,

r^2-3r+1=0

has two roots at r=\dfrac{3\pm\sqrt5}2, so that the characteristic solution is

y_c=C_1e^{(3+\sqrt5)/2\,x}+C_2e^{(3-\sqrt5)/2\,x}

For the particular solution, assume one of the form

y_p=ax^2+bx+c

\implies{y_p}'=2ax+b

\implies{y_p}''=2a

Substituting y_p and its derivatives into the non-homogeneous ODE gives

2a-3(2ax+b)+(ax^2+bx+c)=x^2

ax^2+(-6a+b)x+(2a-3b+c)=x^2

\implies\begin{cases}a=1\\-6a+b=0\\2a-3b+c=0\end{cases}\implies a=1,b=6,c=16

Then the general solution to the ODE is

\boxed{y(x)=C_1e^{(3+\sqrt5)/2\,x}+C_2e^{(3-\sqrt5)/2\,x}+x^2+6x+16}

5 0
3 years ago
Distribute and simplify the following:<br><br>3 ( x + 4) + 2 ( 5 - x)​
lesya [120]

Step-by-step explanation:

Given

3 ( x + 4) + 2 ( 5 - x)

= 3x + 12 + 10 - 2x

= x + 22

Hope it will help :)❤

4 0
3 years ago
Michelle's class is handing out balloon arrangement consisting of 4 balloons each each balloon has and equally likely chance of
lara [203]

Answer:

The answer is 1/30 or 0.0333333...

Step-by-step explanation:

The way to find experimental probability is by comparing the number of times the event occurs to the total number of trials. In this question, there has only been one arrangement that consists of ballooons that are all the same color. This means that 1 (the number of times the event occurred)/ 30 (total number of trials) is the answer. I hope you have a great day!!

3 0
3 years ago
I only have one question left please help?????!?
NemiM [27]
Option 4 would be the correct answer
7 0
3 years ago
PLEASE HELP
Vladimir [108]

Answer:

5.5 inches

Step-by-step explanation:

1) the formula to find the area of a square is l^2= area and l=length

in this case we already know the area but not the length

so we have to find the square root of 30 as the opposite operation needs to be used to find the missing number

so

√30= 5.47

5.47 rounded= 5.5

the length of one side is 5.5 in

5 0
3 years ago
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