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const2013 [10]
3 years ago
14

The student enrollment of South High School was 1,350 students in 1995 and increased by 15% per year until 2010. Approximately h

ow many students were enrolled at South High School in 2010?
Mathematics
1 answer:
exis [7]3 years ago
8 0

Answer: 10,985 students

Step-by-step explanation:

You are given the original number of students, the rate of growth and the number of years. The Future value formula can therefore be used:

Number of students in 2010 = Number of students in 1995 * ( 1 + growth rate) ^ number of years

Number of years = 2010 - 1995 = 15 years

Number of students in 2010 = 1,350 * ( 1 + 15%)¹⁵

= 10,985 students

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The angle measures associated with which set of ordered pairs share the same reference angle? (Negative StartFraction StartRoot
Katarina [22]

Answer:

(C)\left(-\dfrac{1 }{2},-\dfrac{\sqrt{3} }{2} \right)$ and \left(\dfrac{1 }{2},\dfrac{\sqrt{3} }{2} \right)

Step-by-step explanation:

The reference angle is the angle that the given angle makes with the x-axis.

For an ordered pair to share the same reference angle, the x and y coordinates must be the same or a factor of each other.

From the given options:

(A)\left(-\dfrac{\sqrt{3} }{2} ,-\dfrac{1 }{2}\right)$ and \left(-\dfrac{1 }{2},-\dfrac{\sqrt{3} }{2} \right)\\\\(B)\left(\dfrac{1 }{2},-\dfrac{\sqrt{3} }{2} \right)$ and \left(-\dfrac{\sqrt{3} }{2}, \dfrac{1 }{2}\right)\\\\(C)\left(-\dfrac{1 }{2},-\dfrac{\sqrt{3} }{2} \right)$ and \left(\dfrac{1 }{2},\dfrac{\sqrt{3} }{2} \right)\\\\(D)\left(\dfrac{\sqrt{3} }{2},\dfrac{1 }{2} \right)$ and \left(\dfrac{1 }{2},\dfrac{\sqrt{3} }{2} \right)

We observe that only the pair in option C has the same x and y coordinate with the second set of points being a negative factor of the first term. Therefore, they have the same reference angle.

5 0
3 years ago
Read 2 more answers
What is the distance between points (5, 13)
horrorfan [7]

You are going to treat this as a triangle so one side is 13 units long and the other is 22. And using the pythagorean theorem a²+b²=c².

13²+22²=c²

169+484=c²

653=c²

√653=√c²

25.55386...=c

Or, rounded to the nearest hundredth, 25.55

7 0
3 years ago
Write the equation of the line shown in the graph above in slope-intercept form
qwelly [4]
Y = mx + c
y= -2/3x + 1
1= c
4 0
3 years ago
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PLEASE HELP ITS URGENT. I’ll give lots of points who helps !! Please
Molodets [167]

Answer:

D:21

Step-by-step explanation:

Use the vertical angles equation.

4x + 13 = 5x - 8

Subtract 4x from 5x.

5x - 4x = x

13 = x - 8

Add 8 on both dies.

13 + 8 = 21

x = 21

JKLM has x that equals 21.

<JKLM and <LMJK equal 97 degrees.

Hope it helped!

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3 years ago
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6(h - 6k+7) distributive property​
iVinArrow [24]

Answer: 6h-36k+42

Step-by-step explanation:

6(h - 6k+7)

First, start by doing 6 times h

Then, 6 times -6k

Lastly, 6 times 7.

6h-36k+42 is your answer.

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2 years ago
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