The population of a city increases by 15% every year. If its population today is
200,000, write an equation that shows where its population will be in 2 years?

Answers

Answer 1

Answer:

Step-by-step explanation:

P=200000

P x .15 =x (30000)

2x=y (60000)

P + y= (200000+60000) 260000

Answer 2

Answer:

The equation is :

                  [tex]A = 200000 ( 1 + 0.15)^2[/tex]

Step-by-step explanation:

Let population in 2 years be A

Current  population be P = 200,000

Rate of increase, r = 15% = 0.15

Time, t = 2years

Therefore,

            [tex]A= P(1 + r)^t[/tex]

           [tex]A = 200000 ( 1 + 0.15)^2[/tex]

              [tex]=264500[/tex]

Population after 2 years will  be  264,500


Related Questions

The vertex form of the equation of a parabola is y = 2(x + 4)2 - 7.
What is the standard form of the equation?

Answers

To obtain the standard form of the equation of the parabola y=2(x+4)^2-7, first perform the indicated operations:
y = 2[x^2 + 8x + 16 - 7], or
y = 2[x^2 + 8x + 9],
or y = 2x^2 + 16x + 18
None of the given possible answers match. The fourth one, D, is closest to the above result, differing only in the constant term (25 versus 18).

Which of the following graphs is the solution set of -10 < 3x - 4 < 8?

Answers

Answer:

3rd option

Step-by-step explanation:

Solving the inequality

- 10 < 3x - 4 < 8 ( add 4 to each interval )

- 6 < 3x < 12 ( divide each interval by 3 )

- 2 < x < 4

Since -2 less than x and x less than 4

This is indicated by an open circle at - 2 and 4 on the number line and the line between them is shown in black.

The solution is represented on the 3rd graph

Answer:

its the 3rd graph

Step-by-step explanation:

Describe the transformation of f(x) to g(x).
(answers and graph in picture) PLSSSS HELP ​

Answers

Answer: b

Step-by-step explanation:

becuz now brainliest

The transformation of a function may involve any change. The correct option is A.

How does the transformation of a function happen?

The transformation of a function may involve any change.

Usually, these can be shifted horizontally (by transforming inputs) or vertically (by transforming output), stretched (multiplying outputs or inputs) etc.

If the original function is y = f(x), assuming the horizontal axis is the input axis and the vertical is for outputs, then:

Horizontal shift (also called phase shift):

Left shift by c units, y=f(x+c) (same output, but c units earlier)Right shift by c units, y=f(x-c)(same output, but c units late)

Vertical shift

Up by d units: y = f(x) + dDown by d units: y = f(x) - d

Stretching:

Vertical stretch by a factor k: y = k × f(x)Horizontal stretch by a factor k: y = f(x/k)

Given the function of f(x) as sin(x), Now it can be seen the graph of the two functions is parallel, but the function f(x) has a y-intercept of 0, while h(x) has a y-intercept of 1. Therefore, we can write,

h(x) = f(x) + 1

The function is shifted up by 1 unit.

Hence, the transformation of the function is correctly described in the first option.

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which following algebraic statements are true

Answers

Answer:

All of them are true.

Step-by-step explanation:

x^2 y - z / x^2 is true. x^2, when divided by itself, cancels itself out, so the equation that is left is y - z.

For the second one, a/c + b/c is true because when you add a + b = it will change; it will be added together. the remaining c will stay the same, as it is the denominator/the same, so you keep it as it is.

For the final one, you distribute ^2 to (a+b), so they become a^2 + b^2.

This means that all of the statements are true.

please help!! i will help you back!!

Answers

Answer:

c = 50

Step-by-step explanation:

Using the Pythagorean Theorem:

Plug in the values of a = 14, and b = 48

[tex]a^{2} +b^{2} =c^{2}\\14^{2} +48^{2} =c^{2} \\c^{2} = 2500\\c = \sqrt{2500} \\c = 50[/tex]

Complete the table. Function: f (x) = x+2

Answers

3 : (5)
4:(6)
7:(8)
8:(9)

Help answer pleaseeeeeee

Answers

Answer:

Your answer is C.

Step-by-step explanation:

I answered it on paper. When it comes to explaining I have to be person to person. But I hope this helps. :)

All of the following numbers are rational except _____.

Answers

Answer:

What are the numbers?

Step-by-step explanation:

I can help if you give the numbers :)

point e is the midpoint of ca and bd. which statements about the diagram are true?

Answers

Answer:

Step-by-step explanation: i don’t know to be honest

The Jaxson Company offers a 6% coupon bond with semi-annual payments and a yield to maturity of 7.27%. The bonds mature in 6 years. What is the market price of a $1,000 face value bond?

Answers

261.The bonds issued by B&H Enterprises bear a 7% coupon which is payable semi-annually. The bonds mature in 11 years and have a $1,000 face value.

Use the function below to find F(3).
F(x) = 4•C**
O A.
H im
O B.
O c.
4
27
O D.
81

Answers

Answer:

4-3

Step-by-step explanation:

solve for x

Value of function f(x) = 4(1/3)ˣ when x = 3, f(3) = 4/27

Correct option is C.

What is exponential function?

As the name suggests, the exponential function contains an exponent. Note, however, that the exponential function has a constant as its base and a variable as its exponent, not vice versa (if a function has a variable as its base and a constant as its exponent, it is a power function). The exponential function can be in one of the following forms:

Definition of exponential function

In mathematics, an exponential function is a function of the form f(x) = aˣ. where "x" is a variable and "a" is a constant  called the base of the function, which must be greater than 0.

Given, exponential function

f(x) = 4(1/3)ˣ

exponential function is defined for x∈R

Putting x = 3

f(3) = 4(1/3)³

f(3) = 4/27

Hence, 4/27 is value of function f(x) = 4(1/3)ˣ when x = 3

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what percent of 80 is 42

Answers

Answer:

52.5 percent of 80 is 42.

Help me please no links no

Answers

Answer:

x/4

Step-by-step explanation:

x + 4/4 = y + 3/3

do cross multiplication

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

4y +12=3x +12

4y=3x + 12 -12

4y=3x

y/3 = x/4

Find the value of x.
X
100°
Y
130°
Z
66°
W


Answers

Answer:

We are losing Earth's greatest biological treasures just as we are beginning to appreciate their true value. Rainforests once covered 14% of the earth's land surface; now they cover a mere 6% and experts estimate that the last remaining rainforests could be consumed in less than 40 years.

One and one-half acres of rainforest are lost every second with tragic consequences for both developing and industrial countries.

Rainforests are being destroyed because the value of rainforest land is perceived as only the value of its timber by short-sighted governments, multi-national logging companies, and land owners.

Nearly half of the world's species of plants, animals and microorganisms will be destroyed or severely threatened over the next quarter century due to rainforest deforestation.

Experts estimates that we are losing 137 plant, animal and insect species every single day due to rainforest deforestation. That equates to 50,000 species a year. As the rainforest species disappear, so do many possible cures for life-threatening diseases. Currently, 121 prescription drugs sold worldwide come from plant-derived sources. While 25% of Western pharmaceuticals are derived from rainforest ingredients, less that 1% of these tropical trees and plants have been tested by scientists.

Most rainforests are cleared by chainsaws, bulldozers and fires for its timber value and then are followed by farming and ranching operations, even by world giants like Mitsubishi Corporation, Georgia Pacific, Texaco and Unocal.

There were an estimated ten million Indians living in the Amazonian Rainforest five centuries ago. Today there are less than 200,000.

InIIIIII AMMMM ABBBOOuUUTT TOO PI$$$$$$ MINE SELLFF Brazil alone, European colonists have destrotheir homelands continue to be destroyed by deforestation, rainforest peoples are also disappearing.

, it is as if a library has burned down.

When a medicine man dies without passing his arts on to the next generation, the tribe and the world loses thousands of years of irreplaceable knowledge about medicinal plants.

Step-by-step explanation:

Solve the following for y: 4x + 2y = −2 (5 points)


y = −2x + 1


y = 2x + 1


y = −2x − 1


y = 2x − 1

Answers

Answer:

Step-by-step explanation:

4x + 2y = −2

Divide by two on both sides

2x+y = -1

subtract 2x from both sides

y = -1 -2x = -2x -1

Answer:

y = -2x - 1

Step-by-step explanation:

4x + 2y = -2

→ Minus 4x from both sides

2y = -4x - 2

→ Divide both sides by 2

y = -2x - 1

50 POINTS

Find the approximate values of the five-number summary for the data set represented by this box plot.

Answers

Answer:

From the box plot we get:

Minimum - 14Maximum - 88Quartile 1 - 34Quartile 3 - 65Median - 48

Answer:

the other person is correct!

Step-by-step explanation:

Show them some love <3!

The temperature in Anchorage, Alaska one morning was -8 degrees Fahrenheit. It rose slightly, increasing only 10 degrees by lunchtime. By dinnertime, the temperature had fallen 8 degrees. What was the ending temperature?

Answers

Answer:

The ending temperature was -6 degrees Fahrenheit.

Step-by-step explanation:

First, it was -8 degrees

Then, it was -8+10=2 degrees

Lastly, it was 2-8=-6 degrees

plzz help everything is due tonight! 29 pointssss

Answers

Answer:

Step-by-step explanation:

given=  -3(2n-3)=25-8n

distributive property=-6n+9=25-8n

subtraction property= 2n+9=25

division property =2n=16

n=8  

i need help please. and explanation will help for tomorrow in a test:)

Answers

Answer : x^7

When you’re multiplying variables like the one in the problem above, instead of actually multiplying, you add. You only multiply in cases where there are coefficients.

Example : z^4 * z^2

Instead of multiplying, you would add the exponents together like so, z^6.

Find the range of the given data set. 5/8,3/4,1 1/8,1 1/4

Answers

Range = Difference between the highest & lowest value in a set
3/4 and 1/8
3 x 8 - 1 x 4 = 24 - 4
4 x 8 = 32
24/32
8 goes into each to simplify the fraction
24/8 = 3 & 32/8 = 4
Answer 3/4

PLZZZZ ANSWERrrrrrrrrrrr

Answers

It’s the first answer. p = 6E-0-4m

What is the measure of Rsl?

Answers

Answer:

x = 13

Step-by-step explanation:

[tex](9x + 27) = (6x + 66) \\ 9x - 6x = 66 - 27 \\ 3x = 39 \\ x = \frac{39}{3} \\ x= 13 [/tex]

A school survey asked students which candidate they supported for class president. the survey data are shown in the relative frequency table.

Answers

Answer:

C. 24%

Step-by-step explanation:

hope it works

Answer:

39%

Step-by-step explanation:

Which is the best description for the graph below?

A graph decreases from (0, 3) to (9, 0).

Answers

Answer:

Step-by-step explanation:

As we move from (0, 3) to (9, 0), we see x increasing by 9.  This is the 'run.'

At the same time, we see y decreasing by 3.  This is the 'rise.'

The slope of this line (graph) is m = rise / run = -3/9, or m = -1/3

Since we witness a decrease in y as we move from the first point to the second, we immediately suspect that the slope is negative.

Please help ASAP!!
I'll mark brainliest!

Answers

Answer:

729 x [tex]\frac{1}{3}[/tex]^x

Step-by-step explanation:

the third option

- trial and error

Find the area of an equilateral triangle (regular 3 Gon) with the given measurement 9 in perimeter a=SQ.in

Answers

Answer:

3.897 [tex]in^{2}[/tex]

Step-by-step explanation:

equilateral triangles are also equiangular, meaning the have equal angles.

Triangle sum theory says that angles of a triangle add up to 180.

That means each angle is 60.

A = bh/2

You need the (h). The base of is 3.  Perimeter = 9, so each side is 3

Draw a perpendicular line for the height. The line cuts the base in half (1.5)

Using trigonometry you can find the height.

tan 60° = h/1.5

h = height, 1.5 is half of 3, 60° is the base angle.

multiply each side by 1.5

1.5(tan 60°) = h

h=2.598

then substitute h into formula

A= (2.598)(3)

           2

A = 3.897 rounded

help please!!..........

Answers

Answer: 0.36

Hope this helps...

Have a great day.

factorise the following expressions;
1. 8x + 6 2. 4x + 2

Answers

Answer:

Step-by-step explanation:

1. 8x + 6

2(4x+3)

2.4x+2

2(2x +1)

Answer:

[tex]\huge\boxed{\boxed{\underline{\textsf{\textbf{Answer}}}}}[/tex]

1. [tex]\boxed{Factorise \ = \ 8x + 6}[/tex]

To factorise this, you have to take the common factor out. In this case, it's 2.

[tex]8x + 6 \\ = 2(4x + 3)[/tex]

[tex]\boxed{Answer \ = \ 2(4x + 3)}[/tex]

2) [tex]\boxed{Factorise \ = \ 4x + 2}[/tex]

To factorise this, you have to take the common factor out. In this case also, it's 2.

[tex]4x + 2 \\ = 2(2x + 1)[/tex]

[tex]\boxed{Answer \ = \ 2(2x + 1)}[/tex]

____________________

ʰᵒᵖᵉ ⁱᵗ ʰᵉˡᵖˢ

ღ [tex]RainbowSalt2^{2}2^{2} [/tex]

11. What is the perimeter of the garden?

Answers

Answer:

19[tex]\frac{1}{4}[/tex] or 18[tex]\frac{5}{4}[/tex]

Step-by-step explanation:

First, add the whole numbers

3, 7, and 8

18

Add the fractions

[tex]\frac{1}{2}[/tex]+[tex]\frac{3}{4}[/tex]=[tex]\frac{5}{4}[/tex]

IF YOU WANT SIMPLIFIED NUMBER DO THIS

[tex]\frac{5}{4}[/tex]=1[tex]\frac{1}{4}[/tex]

18+1[tex]\frac{1}{4}[/tex]=19[tex]\frac{1}{4}[/tex]


How much was your loan
through capital One if you
paid $1200 in interest at a
rate of 1.5% for 5 years?

Answers

Answer:

Your loan was for $16,000.  

Step-by-step explanation:

The formula for simple interest is i = prt, where p is the principal, r is the interest rate as a decimal fraction, and t is the time in years.

If i = prt, then p = i / (rt)

Here, p = ($1200) / 0.075 = $16,000

Your loan was for $16,000.  

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