Population of a city is 36000 in 2005 by 2010 it has grown to 43800. If the city has grown linearly since 2005 and grows at the same rate what will the population be in 2015

Answers

Answer 1
Answer:

The population of the city in the year 2015 will be 51,600.

What is the rate of change?

The rate of change is the speed at which variable changes over a specific period of time.

The population of the city in the year 2005 = 36,000

The population of the city in the year 2010  = 43,800

The change in population in 5 years is given by;

= Population in the year 2010 - Population in the year 2005

= 43,800  - 36,000

= 7800

The change in population in 5 years = 7800

Let us assume the number population in the year 2015 = x

Here, according to the question:

Since the change of rate is a linear growth since 2005.

The change in population every 5 years  = 7800

The change in population in the next 5 years is;

Rate of change = Population in year 2015 - Population in the year 2010

7800 = x - 43,800

x = 7800 + 43800

x = 51,600

Hence, the population of the city in the year 2015 will be 51,600.

Learn more about the rate of change here;

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Answer 2
Answer: 36000 : 2005 = 43800 : 2010
Every five years it increases by 7800, so by 2015 it will be
43800 + 7800
= 51600

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What is -4+ 7x = y written I. Slope-intercept form,and I have to graph it

Solve for a and b
(6a-3)=(7b-10)

Answers

Answer:

for A=(7b-7)/(6) and for B=(6a+7)/(7)

Step-by-step explanation:

For A

\left(6a-3\right)=\left(7b-10\right)

6a-3+3=7b-10+3

6a=7b-7

(6a)/(6)=(7b)/(6)-(7)/(6)

a=(7b-7)/(6)

For B

\left(6a-3\right)=\left(7b-10\right)

7b-10=\left(6a-3\right)

7b-10=6a-3

7b-10+10=6a-3+10

7b=6a+7

(7b)/(7)=(6a)/(7)+(7)/(7)

b=(6a+7)/(7)

As a member of a music club, you can order CDs for $14.99 each. The music club also charges $4.99 for each shipment. The expression 14.99n + 4.99 represents the cost of n CDs. Find the total cost for ordering 3 CDs.

Answers

howdy!

using the expression 14.99(n) + 4.99, the total of 3 CDs would cost $49.96.
in the expression 14.99n +499... replace the N with 3... 14.99(3)+ 4.99= 49.96

The sum of the roots of the equation (1/2)x^2-(5/4)x-3=0

a.5/2
b.2
c.1/2

Answers

(1/2)x² - (5/4)x - 3 = 0

0.5x² - 1.25x - 3 = 0

Comparing to the quadratic function, ax² + bx + c = 0,    
a = 0.5,  b = -1.2,  c = -3.

Sum of roots = -b/a   =    -(-1.25)/0.5 =    1.25/0.5 = 2.5

2.5 = 5/2  Option (a)
A)5/2 is the answer.

Write the equation of the line perpendicular to 2x-3y=12 which passes through the point (16,-7).

Answers

The equation of the line perpendicular to the given line will be =

y = (-3)/(2)\n x + 17

We have a general equation of line as -   2x - 3y = 12   which passes through the point (16, -7).

We have to determine the general equation of the line perpendicular to this line.

What is the general equation of a straight line ?

The general equation of a straight line is as follows -

y = mx + c

where -

m - slope of line

c - intercept of line on y - axis.

According to question, we have -

Equation of Line =  2x - 3y = 12

Rearranging the above equation of line, we get -

3y = 2x - 12

y = (2)/(3) x + 4

Therefore, the slope of this line will be = 2/3

Two lines which are perpendicular to each other have the following relation among their slopes =

m(1) x m(2) = -1

Therefore, the slope of line perpendicular to the given line will be -

m(2) = -3/2

Now, assume that the equation of line perpendicular to the given line be-

y = mx + c

y = (-3)/(2)\n x + c

Since, this line passes through the point (16, -7), therefore-

- 7 = (-3)/(2)* 16 + c

-7 + 24 = c

c = 17

Hence, the equation of the line perpendicular to the given line will be =

y = (-3)/(2)\n x + 17

To solve more questions on Straight lines, visit the link below -

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y= mx+b

(16, -7) = (x,y)

2(16) - 3y = 12
32 - 3y = 12
32 - 12 = 3y
20/3 = y
6.6 = y

2x-3(-7) = 12
2x+21 = 12
2x = 12 - 21
x = -9/2

Insert the values into y = mx + b
solve for m and then solve for b 

Which pair of radicals is a pair of like radicals?
(See image) thanks!

Answers

The pair of radicals that is a like pair is  7√(3) and 9 √(3)

Option C is correct

For two radicals to be similar, they must contain the same number in the root operator.

Two like radicals are in the form:

a√(b) and c √(b)

Since a√(b) and c √(b) are like terms, arithmetic operations such as addition, subtraction, multiplication, and division can be carried out on them

Considering the options given, only 7√(3) and 9 √(3) are in the form a√(b) and c √(b) because they have equal value inside the root operator.

Therefore, the pair of radicals that is a like pair is  7√(3) and 9 √(3)

Learn more here: brainly.com/question/3253643

Answer:

I just finished taking this test and I just wanted to confirm for all you humans out there, that FencingParry4 is correct! (yay! wooo! celebra-ate!) the answer is indeed 7√3  and  9√3 Great job fencing!

Step-by-step explanation:

Which amount is less 250 mL or 250 L

Answers

To see which one is lesser, it is necessary to convert one to the unit of the other. This can be done using the following relation: 1 L = 1000mL

Converting 250mL to L:

250 mL * (1 L / 1000 mL) = 0.25 L.

Therefore, the amount 250 mL is the lesser of the two.