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Anna71 [15]
3 years ago
7

Data reveled that there was a 14% increase in the number of students at PS 194 from 2000 to 2005 and later revealed that there w

as a 6% decrease in the number of students from 2006 to 2010. If there were 1,200 students in the school at the start of 2000, approximately how many students were in the school at the end of 2010?

Mathematics
1 answer:
crimeas [40]3 years ago
8 0
The answer is clearly in the photo

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Please help if the answer is correct you will get 5 stars :)
alukav5142 [94]

Answer:

40

Step-by-step explanation:

3 0
2 years ago
Read 2 more answers
5. Find the general solution to y'''-y''+4y'-4y = 0
CaHeK987 [17]

For any equation,

a_ny^(n)+\dots+a_1y'+a_0y=0

assume solution of a form, e^{yt}

Which leads to,

(e^{yt})'''-(e^{yt})''+4(e^{yt})'-4e^{yt}=0

Simplify to,

e^{yt}(y^3-y^2+4y-4)=0

Then find solutions,

\underline{y_1=1}, \underline{y_2=2i}, \underline{y_3=-2i}

For non repeated real root y, we have a form of,

y_1=c_1e^t

Following up,

For two non repeated complex roots y_2\neq y_3 where,

y_2=a+bi

and,

y_3=a-bi

the general solution has a form of,

y=e^{at}(c_2\cos(bt)+c_3\sin(bt))

Or in this case,

y=e^0(c_2\cos(2t)+c_3\sin(2t))

Now we just refine and get,

\boxed{y=c_1e^t+c_2\cos(2t)+c_3\sin(2t)}

Hope this helps.

r3t40

5 0
4 years ago
Simplify. Assume all variables are non-zero. HELP ASAP!
Alexandra [31]

Answer:

D

Step-by-step explanation:

((p^4*q)/p^8)^2.

p^4/p^8=p^(4-8)=p^-4=1/p^4

(q/p^4)^2=(q^2/p^8)

4 0
4 years ago
Help i suck at math<br><br><br> A b c or d on all of them
Sonbull [250]
1-D, 2-C, 3-A, 4-C, 5-B, 6-A, 7-D, 8-B
6 0
3 years ago
Read 2 more answers
What is the value of x?<br> Enter your answer in the box.<br> x =
Svetllana [295]

Answer:

Step-by-step explanation:

The two triangles are similar and therefore we can set up a proportion

9/(9 + 72) = (3x - 20)/(3x - 20 + 56)       Combine like terms on the right

9/(81) = (3x - 20)/(3x + 36)                      Cross multiply

9(3x + 36) = 81 (3x - 20)                         Remove the brackets.

27x + 324 +1620 = 243x                        Add 1620 to both sides

27x + 324 + 1620 = 243x                       Subtract 27x from both

1944 = 216x                                            divide both sides by 216

x = 9                                  

If you feel comfortable canceling the size of the numbers can be reduced.

9/81 = 1/9

1/9 = (3x - 20)/(3x + 36)

3x + 36 = 9(3x - 20)

3x + 36 = 27x - 180

36 + 180 = 24x

216 = 24x

216/24 = x

x = 9

There is another cancelation possible, but this is simple enough.

6 0
3 years ago
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