The population of a place in a particular year increased by 15% next year it decreased by 15%. Find the net increase or decrease percent in the initial population

Answers

Answer 1

Answer:

there was a decrease of 2.25%

Step-by-step explanation:

Let me illustrate with an example

Assume the population is 100

percentage increase = 100 + 15 = 115% = 1.15%

Population after 15% increase = 100 x 1.15 = 115

Percentage decrease = 100 - 15 = 85% = 0.85

Population after 15% decreases 115 x 0.85 = 97.75

rate of increase = (97.75 / 100) - 1 = -2.25%


Related Questions


question
Instructions: Determine whether the following polygons are similar. If yes, type in
the similarity statement and scale factor. If no, type 'None' in the blanks.
L
35
M
х
w 18
50°
631
63
10
10
50°
35 N
o
Z
18
Y
Similar:

Answers

Answer:

No, the polygons aren't similar since they don't have a constant scale factor.

GEOEMTRY- PLEASE HELP , solve for x

Answers

Answer:

[tex]17x-23=1/2\times81[/tex]

[tex]17x-23=40.5[/tex]

[tex]17x=40.5+23[/tex]

[tex]17x=63.5[/tex]

[tex]x=63.5/17[/tex]

[tex]x=3.73[/tex]

OAmalOHopeO

please answer this!!!

Answers

Answer:

C 20

Step-by-step explanation:

use sine law

Answer:

C, 20

Step-by-step explanation:

Angle c= 30

side AC= 40

sin(30)=x/40

40sin(30)=x

x=20

I need help ASAP pls

Answers

A looks like the correct answer

Instructions: Find the missing side of the triangle.
24 and 7

Answers

We can use the Pythagorean theorem to solve this. The Pythagorean theorem is a^2 + b^2 = c^2. We already have a and b, we need to find c. 24^2 + 7^2 is 625. Then, we need to find the square root of 625 to find c. The answer is 25. x = 25.

If 24 and 7 are the lengths of the legs of the right triangle, the missing side, which is the hypotenuse, has a length of 25.

To find the missing side of the triangle, we need more information about the triangle. Specifically, we need to know which side is missing: the hypotenuse (longest side) or one of the legs.

If 24 and 7 are the lengths of the legs of a right triangle, we can use the Pythagorean theorem to find the length of the hypotenuse.

The Pythagorean theorem states that in a right triangle, the square of the length of the hypotenuse is equal to the sum of the squares of the lengths of the legs.

Let's label the hypotenuse as 'c' and the legs as 'a' and 'b'.

Using the Pythagorean theorem:

[tex]c^2 = a^2 + b^2[/tex]

Substituting the given values:

[tex]c^2 = 24^2 + 7^2\\c^2 = 576 + 49\\c^2 = 625[/tex]

Taking the square root of both sides:

c = √625

c = 25

Therefore, if 24 and 7 are the lengths of the legs of the right triangle, the missing side, which is the hypotenuse, has a length of 25.

To know more about  lengths , here

https://brainly.com/question/28322552

#SPJ2

What is the solution to this system of equations?
x = 12 − y
2x + 3y = 29

Answers

Let’s arrange the fist equation
x+y=12
2x+3y=29

Multiply equation 1 by 2
So it will be

2x+2y=24

Subtract eq 1 from eq 2

2x+3y=29
2x+2y=24
—————-
Y =5

Put value of y in eq 1

2x+2y=24
2x +10= 24
2x= 24-10
2x= 14
x=14/2
x=7

S.S= (7,5)

Explanation: I would use the substitution method for this system

because one of the variables, x, is already isolated in the first equation.

Since our first equation states that x = 12 - y, 12 - y can be substituted

in for x in the second equation which becomes 2(12 - y) + 3y = 29.

Now we can solve this equation by first distributing the 2

through the parentheses to get 24 - 2y + 3y = 29 and you

should be able to easily finish solving from here to get y = 5.

Now substitute a 5 back in for the first equation to get

x = 12 - (5) or x = 7 which means that our solution is (7, 5).

see attached photo, please help asap, it is due in 30 minutes !!!

Answers

Answer:

Answer is 3.398

Step-by-step explanation:

Solve by putting into calculator.

Sin theta = 9/15. Find tan theta. A. 15/12. B. 9/12 C. 12/15 D. 12/9

Answers

Answer:

B

Step-by-step explanation:

[tex]Sin \ theta = \frac{9}{15}=\frac{Opposite \ side}{hypotenuse}\\[/tex]

Pythagorean theorem,

Adjacent side ² = hypotenuse² - opposite side²

                         = 15² - 9²

                          = 225 - 81

                          = 144

Adjacent side = √144 = √(12*12) = 12

[tex]Tan \ theta = \frac{opposite \ side}{adjacent \ side}= \frac{9}{12}[/tex]

Marcus has $7000 to invest in a savings account for 3 years. The bank offers two investment options. Option A pays 5 % simple interest per year and Option B pays 4% compound interest per year. (a) How much interest would Marcus earn after 3 years with Option A?

Answers

Answer:

$ 630

Step-by-step explanation:

One is given the following information:

$7000 was invested in a savings accountOption A: 3% simple interest annuallyOption B: 4% interest compounded annually

The problem asks one to find out the amount of interest earned after 3 years of going with option A. The easiest way to do such is to form an equation. The general equation for simple interest is the following:

A * 0.01P(d) = I

Where the parameters indicate the following values,

A = amount invested

P = interest rate

d = time invested (years)

I = amount earned in the form of interest

Substitute the given values into the formula, then simplify to evaluate,

A * 0.01P(d) = I

7000 * 0.01(3)(3) = I

7000 * 0.01(9) = I

7000 * 0.09 = I

630 = I

Water is leaking out of an inverted conical tank at a rate of 6800 cubic centimeters per min at the same time that water is being pumped into the tank at a constant rate. The tank has height 12 meters and the diameter at the top is 3 meters. If the water level is rising at a rate of 21 centimeters per minute when the height of the water is 3.5 meters, find the rate at which water is being pumped into the tank in cubic centimeters per minute.

Answers

Answer:

1508527.582 cm³/min

Step-by-step explanation:

The net rate of flow dV/dt = flow rate in - flow rate out

Let flow rate in = k. Since flow rate out = 6800 cm³/min,

dV/dt = k - 6800

Now, the volume of a cone V = πr²h/3 where r = radius of cone and h = height of cone

dV/dt = d(πr²h/3)/dt = (πr²dh/dt)/3 + 2πrhdr/dt (since dr/dt is not given we assume it is zero)

So, dV/dt = (πr²dh/dt)/3

Let h = height of tank = 12 m, r = radius of tank = diameter/2 = 3/2 = 1.5 m, h' = height when water level is rising at a rate of 21 cm/min = 3.5 m and r' = radius when water level is rising at a rate of 21 cm/min

Now, by similar triangles, h/r = h'/r'

r' = h'r/h = 3.5 m × 1.5 m/12 m = 5.25 m²/12 m = 2.625 m = 262.5 cm

Since the rate at which the water level is rising is dh/dt = 21 cm/min, and the radius at that point is r' = 262.5 cm.

The net rate of increase of water is dV/dt = (πr'²dh/dt)/3

dV/dt = (π(262.5 cm)² × 21 cm/min)/3

dV/dt = (π(68906.25 cm²) × 21 cm/min)/3

dV/dt = 1447031.25π/3 cm³

dV/dt = 4545982.745/3 cm³

dV/dt = 1515327.582 cm³/min

Since dV/dt = k - 6800 cm³/min

k = dV/dt - 6800 cm³/min

k = 1515327.582 cm³/min - 6800 cm³/min

k = 1508527.582 cm³/min

So, the rate at which water is pumped in is 1508527.582 cm³/min

A is the point (0, 8) and R is the point (5, 6). Find the point Con the y-axis such that angle ABC is 90°​

Answers

Answer:

(0, -13/2) or (0, -6.5)

Step-by-step explanation:

a point on the y-axis means x=0.

so, the solution is a point (0, y).

and I assume (5, 6) is not R but is B.

for the angle at B being 90 degrees, we are looking at a right-angled triangle, and basic Pythagoras has to be true :

c² = a² + b²

with c being the Hypotenuse (the line opposite of the angle with the 90 degrees).

in our case, this c is the connection from A to C.

and a and b are the connections AB and BC.

so,

AC² = AB² + BC²

the distance between two points is again calculated via Pythagoras, where the differences in x and y directions are the sides, and the distance itself is the Hypotenuse.

so, we get

(0-0)² + (8-y)² = (0-5)² + (8-6)² + (5-0)² + (6-y)²

(8-y)² = -5² + 2² + 5² + (6-y)²

64 - 16y + y² = 25 + 4 + 25 + 36 - 12y + y²

64 - 16y + y² = 90 - 12y + y²

64 - 16y = 90 - 12y

-26 = 4y

y = -26/4 = -13/2 = -6.5

PLEASE HELP WITH BOTH SEPRATE QUESTIONS


1 Your mom asks you to take the family car to the gas station and put no more than 8 gallons of gas in it. Write an inequality for this scenario.


2Translate this statement into an inequality.


A number less than 5 is greater than 7

Answers

Answer:

(1) question no.1

x<=8

(2) question no.2

5<x<7

Answer:

1. 8≥g

2. A-5≥7

Step-by-step explanation:

x3 + (y +z) factorize​

Answers

I think you wrote the question wrong this question is not factorable

Write an equation, in slope-intercept form, of the line that passes through the given point and satisfies the given condition. (-1, -4); perpendicular to y=2x+5

Answers

Answer:

y = -1/2x - 9/2

Step-by-step explanation:

A shopkeeper fixed the marked price of his radio to make a profit of 30 %. Allowing 15 % discount on the marked price, the radio was sold. What percent profit did he make? ​

Answers

Answer:

10.5 %

Step-by-step explanation:

Here .

let the Cost Price be 'x'

the..

by the question..

the marked price was fixed to make 30% profit

then..

the marked price will be

x+ 30% of x

= x + 30/100 × x

=x+ 0.3x

=1.3x

soo .. the marked price is 1.3x

now.. after allowing 15% discount..

the selling price will be

1.3x - 15% of 1.3x

= 1.3x - 0.195x

= 1.105x

thank you...

plzz mark me brainliest now

now..

profit made = 1.105x-x

= 0.105x

soo .

in percentage..

profit percent = profit/cp × 100%

= 0.105x/x × 100%

= 10.5 %

The value of -9(square root) is not-3 because
O A. (3)2 = -9
O B. (-9)2 = -3
O c. 329
D. 92 + -3

Answers

Answer:

A)  [tex](-3)^{2} \neq -9[/tex]

Step-by-step explanation:

Answer:

A) is correct

Step-by-step explanation:

(-3)**2 = 9,  not equal -9

The issue is negative numbers can only be imaginary numbers. The sq root of -9 would be 3i, where i is defined as the sq root of -1.

Which equation is equivalent to

= 27x+2?
3*-3-3x+2
3* - 33x+6
3-*- 33x+2
3-* - 33x+6

Answers

Answer:

D

Step-by-step explanation:

(1/3)^x=27^(x+2)

3^(-x)=3^(3(x+2))

3^(-x)=3^(3x+6)

REPLY ASAP PLEASE!!!

Answers

Answer:

The answer is c.

Step-by-step explanation:

Carrie is asked to draw a triangle with the following specification
• at least two angles measuring 60°
Which of the following statements about this triangle is true?
A. One and only one triangle exists with the given condition, and it must be an equilateral triangle
В.
More than one triangle exists with the given condition, and all instances must be equilateral triangles
C
One and only one triangle exists with the given condition, and it must be an isosceles triangle
D
More than one triangle exists with the given condition, and all instances must be isosceles triangles





Answers

Answer:

just put in the cheat codes of life its not that hard

Answer:

answers is B

(Study island)

Step-by-step explanation:

PLEASE HELP, solve for X

Answers

Answer:

27

Step-by-step explanation:

(whole secant) x (external part) = (tangent)^2

(48+x) * 48 = 60^2

(48+x)48=3600

Divide each side by 48

48+x =75

Subtract 48

48+x-48 = 75-48

x =27

determine the dimension of cube when the volume is 1.468mcube​

Answers

Answer:

1.137 m

Step-by-step explanation:

The volume of a cube is given as the cube of the side. A cube is a 3 dimensional shape with equal sides and 6 faces. If the volume is V and the side is s then

V = s * s * s

Given that the volume is 1.468mcube​ then

s^3 = 1.468

s = cube root of 1.468

= 1.137 m

math help please help please my parents are going to hit me

Answers

Answer:

2.1

Step-by-step explanation:

Angle Q of the triangle, SRQ is 47. Let find Length of RQ of SRQ.

If we apply tangent ratio, we get

[tex]x = 5.9[/tex]

Now let find the measure of RP of Triangle SRP.

If we apply tangent ratio, we get

[tex]x = 3.8[/tex]

We can find PQ by Subtraction Poustulate.

[tex]5.9 - 3.8 = 2.1[/tex]

so

Pq=21

Answer:

PQ ≈ 2 cm

Step-by-step explanation:

 We know that SRQ is 47.  

Next we apply the tangent ratio. We get x = 5.9  

Now we find the measure of RP of the triangle SRP.  

If we apply tangent ratio, we get x = 3.8    

We can find PQ with this:

5.9 - 3.8 = 2.1 ≈ 2 cm

What is the domain of the function RX) = x2 + 3x + 5?
OA
all whole numbers
OB. all positive real numbers
Ос.
all Integers
OD. all real numbers

Answers

Answer:

all real numbers

Step-by-step explanation:

The domain is the numbers that the input, x, can take

We can put in any real number for x since there are no restrictions on the input

Answer:

option D is domain

Step-by-step explanation:

because no change is happen in range by keeping any real number

solve this questions​

Answers

Answer:

a) Sale Price; Rs. 800        Discount rate: 20%

b) Sale Price; Rs. 4000     Discount rate: 20%

c) Sale Price; Rs. 6000     Discount rate: 35%

Step-by-step explanation:

1. Approach

In these problems, one is given a list of original prices and the amount of price taken off during a discount. One has to find the sale price and the rate of discount. The easiest way to find the sale price is to subtract the discount price from the original price. The general train of thought to do this can be found in the following formula:

[tex](original\ price)-(discount\ amount)=(sale\ price)[/tex]

One is also asked to find the rate of discount. Use the following proportion format to do so:

[tex]\frac{discount\ amount}{original\ price}=\frac{percent}{100}[/tex]

Substitute each of the values in the given problem into the equation and solve for the price.

2. Part A

Original price: 1000

Discount: 200

1. Sale price

Formula[tex](original\ price)-(discount\ amount)=(sale\ price)[/tex]Substitute and solve,[tex]1000-200=(sale\ price)[/tex][tex]\\800 = sale\ price[/tex]

2. Discount rate

Formula[tex]\frac{discount\ amount}{original\ price}=\frac{percent}{100}[/tex]Substitute, simplify, and solve[tex]\frac{200}{1000}=\frac{percent}{100}[/tex][tex]\frac{1}{5}=\frac{percent}{100}[/tex][tex](5)(percent)=1(100)[/tex][tex]percent=20[/tex]

3. Part B

Original price: 5000

Discount: 1000

1. Sale price

Formula,[tex](original\ price)-(discount\ amount)=(sale\ price)[/tex]Substitute and solve[tex]5000-1000=(sale\ price)[/tex][tex]4000=(sale\ price)[/tex]

2. Discount rate

Formula[tex]\frac{discount\ amount}{original\ price}=\frac{percent}{100}[/tex]Substitute, simplify, and solve[tex]\frac{1000}{5000}=\frac{percent}{100}[/tex][tex]\frac{1}{5}=\frac{percent}{100}[/tex][tex]5(percent)=1(100)[/tex][tex]percent=20[/tex]

4. Part C

Original price: 8000

Discount: 2000

1. Sale price

Formula[tex](original\ price)-(discount\ amount)=(sale\ price)[/tex]Substitute and solve[tex]8000-2000=(sale\ price)[/tex][tex]6000=(sale\ price)[/tex]

2. Discount rate

Formula,[tex]\frac{discount}{amount}=\frac{percent}{100}[/tex]Substitute, simplify and solve,[tex]\frac{2000}{8000}=\frac{percent}{100}[/tex][tex]\frac{1}{4}=\frac{percent}{100}[/tex][tex]4(percent)=1(100)[/tex][tex]percent=25[/tex]

the Marked price of a book is rupees 160 if it is sold at 15% discount find the discount amount and selling price​

Answers

answer is 15%

Step-by-step explanation:

cost prices of book =160

selling prices of book =136

now,rate of discount =loss% (as discount only leads to some kind of loss)

so CP>SP

so loss=CP-SP =160-136=24

loss%= (loss/CP)÷100

=(24/160)÷100

=15%

so rate of discount =15%

I) 54,2 X 94= ?

J) 36,39 X 28= ?

K) 43,73 X 74,4= ?


(por favor conta armada)

Answers

Answer:

I) 54.2 X 94 = 5094.8

J) 36.39 X 28 = 1018.92

K) 43.73 X 74.4 = 3253.512

I think the answer is B

I rlly need help like pleasee

The parallelogram in Quadrant III is the image of the parallelogram in Quadrant II after a counterclockwise rotation about the origin. What is the angle of rotation?

A.) 90 B.) 180 C.) 270 D.) 360​

Answers

Answer:

A. 90

Step-by-step explanation:

Correct on EDGE

Answer:

maybe 90

Step-by-step explanation:

In an experiment on the effects of caffeine on the alertness of college students, student volunteers are randomly assigned to two groups. One group is given caffeinated coffee while the other group is given decaffeinated coffee. All participants then play a video game to assess their mental acuity, measured as their final score on the video game. In this study, the group that is given caffeinated coffee is called the:

Answers

Answer:

Experimental group

Step-by-step explanation:

During the process of a research study whereby the participants or subject are divided into groups such that some are exposed to the independent variable or treatment while the other subjects are used as control for the study, The group of participants which are exposed or given the actual treatment or independent procedure are called the experimental group. In the scenario above, experimental group are the group of students which were given caffeinated coffee which is the independent variable in this case.

Number 14 please and thank you so much

Answers

Answer:

0.13

Step-by-step explanation:

N(s)=310+276+155+445

=1186

P=155:1186

=0.13

Soledad gana 12 pesos por hora entregando tartas. Trabajó 25 horas la semana pasada pero desafortunadamente se demoró en 5 entregas y le descontaron 15 pesos por cada entrega demorada. a. Expresa la respuesta como una ecuación. b. ¿Cuánto dinero ganó la semana pasada?

Answers

Answer:

Total earning last week = 225

Step-by-step explanation:

Given:

Earning per hour = 12 pesos

Deduct per late delivery = 15 pesos

Total number of hour = 25 hour

Total number of late delivery = 5

Find:

Total earning last week

Computation:

Total earning last week = (Total number of hour)(Earning per hour) - (Deduct per late delivery)(Total number of late delivery)

Total earning last week = (12)(25) - (15)(5)

Total earning last week = 300 - 75

Total earning last week = 225

Other Questions
A submarine cruises underwater at 20 km/h and onthe surface at 30 km/h. The submarine travels a.distance of 650 km in 25 h. A linear system wascreated and graphed What changes needs to be made to sentence 15? In Biblical times, chariots and carts were widespread in the Middle East, but by the 6th century, the old Roman roads had deteriorated so much that wheeled vehicles were replaced by camels. This illustrates that the processes of change is sometimes due to ___. Group of answer choices primary innovation revitalization secondary innovation cultural loss Which is an example of a demander of U.S. currency? Foreign firms that have sold imported goods in the United States, earned U.S. dollars, and are trying to pay expenses incurred in their home countries Foreign investors who wish to make direct investments in the United States economy U.S. tourists leaving to visit other countries U.S. investors who want to make foreign direct investments in other countries U.S. exporting firms that earned foreign currency and are trying to pay U.S.-based expenses What are the units of molar mass?A. L/gB. mol/gC. g/LD. g/molSUBST Determine the degree of the term 2^3x2yz4 Hi I need help could someone please help me Manuel Tores, a senior manager at Crawford Export Logistics, goes to France to negotiate a deal with the company's French partners. He dresses casually in a t-shirt and jeans. His French counterparts call off the meeting and accuse him of taking a casual attitude toward negotiations. In this scenario, dressing formally during business meetings is probably a cultural ________ for the French. Optimization helps:_______.(a) in identifying the constraints of the situation. (b) to find good decisions in highly complex and highly uncertain settings. (c) in assigning values to outcomes. (d) to model certainty with optimization techniques. Select the best answer to describe the parabola Cmo puedo pasar esta oracin afirmativa a interrogativa es "At six o'clock, Mirian and her family had dinner xf According to a recent survey, the growth of facility investment tends to fall _________ there is a presidential election.A. whichB. in order thatC. whenD. on behalf of At a ski resort located over one hour from the nearest large town, there is only one grocery store and it charges prices more than 200% percent above the typical retail prices. In the long run, we would expect that: Group of answer choices demand will decrease since people will not want to pay the high prices. another store will open that will charge lower prices. another store will open that will charge equally high prices since competition is low. the store will continue to earn high profits even in the long run since the size of the market is small. explain the relationship among health, population and environment education in your own words? Will give brainliestA tablet at a local electronics store is in high demand and will only be available to customers for a limited time. The store initially has 4 cases of the tablet on hand. The store manager receives new supplies of the tablet each week. At the beginning of week 1, the store manager receives an additional order from the distributor of 5 cases of tablets. At the beginning of week 6, the manager receives another order of 10 cases. Which of the following equations best models the scenario for how many cases of the tablet the store can expect to receive each week? a. y=4b. y=x+4c. y=-6x WILL GIVE BRAINLIST IF CORRECT Which function is represented by this graph From the diagram below, you can say that the two triangles areSelect one: Congruent by SASNot Congruent Congruent by HLCongruent ASA How was Dr Mortimer known to the late Sir Charles Baskeeville? Which techniqueWhich technique is best to help you manage time better?A. delegating all your workB. not attending staff meetingsC. keeping your work area organizedD. putting in more hours at the workplace is best to help you manage time better? The management of Tony Corporation is considering the purchase of a new machine costing $400,000. No residual value is expected. The company's desired rate of return is 10%. The present value factors for $1 at compound interest of 10% for 1 through 5 years are 0.909, 0.826, 0.751, 0.683, and 0.621, respectively. In addition to the foregoing information the following data is available. Year Income from Operations Net Cash Flow 1 $100,000 $180,000 2 40,000 120,000 3 20,000 100,000 4 10,000 53,000 5 10,000 71,000 The net present value for this investment is: Group of answer choices positive $55,200 positive $18,130 Negative $126,810 Negative $99,630