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Lyrx [107]
3 years ago
15

Assume that the population of the world in 2010 was 6.9 billions and is growing at the rate of 1.1 percent a year. (a) set up a

recurrence relation for the population of the world n years after 2010 (b) find an explicit formula for the population of the world n years after 2010. (c) what will the population of the world be in 2030
Mathematics
2 answers:
Nataly_w [17]3 years ago
6 0
A1=6.9
a) an=(an-1)(1.1)
b) an=(6.9)(1.1^n-1)
c) 46.419 billion
nadezda [96]3 years ago
5 0

Answer:

a 1=6.9

a  an =

(an-1)(1.1)

b  an=

(6.9)

(1.1^n-1)

c

46.419  

billion

Step-by-step explanation:


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15. Write the slope-intercept form of the line described in the following:Parallel to 4x + 5y=20and passing through (12,4)
Amiraneli [1.4K]

Problem

Write the slope-intercept form of the line described in the following:

Parallel to 4x + 5y=20

and passing through (12,4)

Solution>

For this case we need to have the same slope, and if we write the equation given we see:

5y = 20 -4x

y = 4 -4/5 x

then the slope m = -4/5

and we also know a point given x= 12, y= 4 and we can do the following:

4 = -4/5 (12) +b

4 = -48/5 + b

And if we solve for the intercept we got:

b= 4 +48/5= -28/5

And our equation would be given by:

y = -4/5 x -28/5

3 0
1 year ago
What transformation of the parent function f(x) is made to get 4f(x+2)
LenKa [72]

Answer: A vertical stretch of 4 and a translation of -2 units in the x-direction.

Step-by-step explanation:

       Changes of the parent function can be written, in this case as <em>a</em>f(x)(x - <em>k</em>) where <em>a</em> is the stretch factor and <em>k</em> is the movement left or right on the x-axis.

       In this case, a = 4 and k = 2. Since the k is negative, the function will be moved -2 units on the x-axis.

<em>Learn more about </em><em>transformations of a parent function</em><em> here:</em>

<em>brainly.com/question/13822715</em>

7 0
1 year ago
Evaluate if m = 16 and p = 2.<br> 1<br> 2<br> m + 3p<br> A) 10 <br> B) 14 <br> C) 18 <br> D) 48
Ivenika [448]
Put the values of m and p to the expression:

\dfrac{1}{2}m+3p\\\\m=16;\ p=2\\\\\dfrac{1}{2}\cdot16+3\cdot2=8+6=14\to B)

4 0
3 years ago
Can someone please help me
Allisa [31]

Answer:

I think it is C

Step-by-step explanation:

Reason being because the question said at least 15 points more so it can't

be 12 equal to 12 points. so you could eliminate the greater than or equal to.

so that leaves c and d. can't see how it is D because if he has 15 points more can't see why his other portion of points could take away 15 so that leaves C.

hope that helps

4 0
2 years ago
What are the exact solutions of x2 + 5x + 1 = 0? (5 points)
Rus_ich [418]

Answer:

x=\frac{-5\pm\sqrt{21}  }{2}

Step-by-step explanation:

We use the quadratic formula here which says for a quadratic equation ax^2+bx+c=0.

x= \frac{-b\pm\sqrt{b^2-4ac} }{2a}

Now in our case

a=1\\b=5\\c=1

so we have:

x=\frac{-5\pm\sqrt{5^2-4(1)(1)}  }{2(1)} =\frac{-5\pm\sqrt{21}  }{2}

\boxed{x=\frac{-5\pm\sqrt{21}  }{2} }

Which are our solutions.

7 0
3 years ago
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