The population of a city has increased by 15% since it was last measured. If the current population is 27,600, what was the previous population?

Answers

Answer 1

The previous population for the city is 23460.

How to calculate the previous population?

Given that the population of a city has increased by 15% since it was last measured, the previous population will be:

= 1 - 15%

= 85%

Therefore, the previous population will be:

= Percentage × New population

= 85% × 27600

= 0.85 × 27600

= 23460

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Related Questions

How long will it take to double your money if you invest in an account that pays 8% interest, compounded continuously

Answers

The time that would be taken for the money to double is 9 years.

How long would it take to double the money?

Given that a compound interest has to do with the type of interest that is charged both on the principal and on the interest. We know that the principal is the money that was invested.

Let the principal be P and let the time taken be t. Let us now apply the formula;

A = P(1 + r)^n

Where A = 2P and r = 0.08

2P = P(1 + 0.08)^n

2P/P = (1.08)^n

2 = (1.08)^n

ln2 = nln1.08

n = ln2/ln1.08

n = 0.693/0.077

n = 9

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Violet was comparing the price of chicken breast at two stores. The equation
y = 11.38x represents the total cost, in dollars and cents, y, that it costs for
pounds of chicken breast at SuperGrocery B. At SuperGrocery A, 3 pounds of chicken
breast costs $19.11.
How much more expensive is it, per pound, to buy chicken
breast at Store B than at Store A?

Answers

The chicken breast being brought at store B is more expensive than store A as it costs $5.01 more per pound.

Given,

Violet was comparing the price of chicken breast at two stores.

The equation which represents the total cost, in dollars and cents, y, that it costs for x pounds of the chicken breast at Super grocery B is:

y = 11.38x

whereas at store A the chicken breast of 3 pounds costs $19.11.

we are asked to determine how expensive is it per pound to buy chicken breast at store B than store A.

⇒ at store B the total cost is:

y = 11.38x

check the total cost of 3 pounds of chicken breast at store B:

⇒ y = 11.38(3)

since x represents the number of pounds.

⇒ y = $34.14

at store the chicken breast of 3 pounds costs $19.11

⇒ cost difference at both stores for simillar quantity:

⇒ 34.14 - 19.11

= 15.03

The cost of chicken per pound = 15.03/3

= $5.01

Hence the chicken breast at store B is $5.01 more expensive per pound than the chicken breast at store A.

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Help please i dont know how to do this.

Answers

A 270° counterclockwise rotation about the origin is the different one

How to determine which one is different?

Rotation simply means turning

In order to answer this question, you need to know some rules about rotation. They are as follows:

1. If a point P, whose position vector is (x,y), is rotated 90° counterclockwise rotation about the origin, the position of the image P' is (-y, x)

2. If a point P, whose position vector is (x,y), is rotated  270° clockwise rotation about the origin, the position of the image P' is (-y, x). This is the same number 1

3. A 90° leftward rotation about the origin is the same as a 90° counterclockwise rotation about the origin. This is the same with number 1

4.  If a point P, whose position vector is (x,y), is rotated  270° counterclockwise rotation about the origin, the position of the image P' is (y, -x). This is different from the other three.

From the graph: A(1, 2), B(2, 4), C(4, 2)

Answer for the different question: A'(2, -1), B'(4, -2), C'(2, -4)

Answer for the same three question: A'(-2, 1), B'(-4, 2), C'(-2, 4)

Therefore, a 270° counterclockwise rotation about the origin is the different one. The 4th option is the answer

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A container ship left port last week carrying some goods that weighed a total of 130,980 tons. Today, it stopped in another port to unload. The weight of the goods on the ship is now 91,686 tons. By what percent has the weight of the goods on the ship decreased?

help please annnd thaannks

Answers

Answer:

30%

Step-by-step explanation:

130980-91686=39294

39294/130908=0.3

Answer: 168,609 ton

Hi, to answer this question, first we have to calculate the amount of the weight decrease by multiplying the original weight of the goods (240,870) by the percentage decrease in decimal form ( divided by 100)

Mathematically speaking:

240,870 (30/100) =72,261 ton

Finally we have to subtract that value to the original weight:

240,870-72,261 = 168,609 ton

Feel free to ask for more if needed or if you did not understand something.  

Step-by-step explanation:

Which inequality is equivalent to -x<8

Answers

Answer:(-7, infinite down)

Step-by-step explanation: -7,-8,-9...

Solving an Equation Involving Inverse Trigonometric Functions
sec^-1 x = csc^-1 2

Answers

The solution of the trigonometry function is  2√3/3.

What is the trigonometric function?

Simply put, trigonometric functions—also referred to as circular functions—are the functions of a triangle's angle. This means that these trig functions provide the relationship between the angles and sides of a triangle. Sine, cosine, tangent, cotangent, secant, and cosecant are the fundamental trigonometric functions.

Given trigonometric function is

sec^(-1) x = csc^(-1) 2

Assume that,

csc^(-1) 2 = z

→ 2 = csc z

→ 1/2 =1/ (csc z)

→ 1/2 =sin z

The trigonometry identity is [tex]\cos x =\sqrt{1-\sin^2x}[/tex].

[tex]\sqrt{1-(\frac{1}{2})^2 } =\cos z[/tex]

→ cos z = √3/2

→ sec z = 2/√3

→ sec z = 2√3/(√3×√3)

→ sec z = 2√3/3

→  z =sec^(-1) ( 2√3/3) = csc^(-1) 2

Putting csc^(-1) 2 = sec^(-1) ( 2√3/3):

sec^(-1) x = sec^(-1) ( 2√3/3)

→ x = 2√3/3

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if a=5, b=-2 and c=3 find the value of abc​

Answers

Answer:

-30

Step-by-step explanation:

the order of multiplication doesn't matter

a*b*c = 5*-2*3 = -30

How many ways are there to split the integers 1 through 14 into 7 pairs so that in each pair the
greater number is at least 2 times the lesser number?

Answers

The number of ways to split the integers, given the condition and using the Fundamental Counting Theorem, is of:

144.

What is the Fundamental Counting Theorem?

It is a theorem that states that if there are n independent trials, each with [tex]n_1, n_2, \cdots, n_n[/tex] possible results, the total number of outcomes considering all trials is calculated by the multiplication of the factorials as presented as follows:

[tex]N = n_1 \times n_2 \times \cdots \times n_n[/tex]

Given the condition that the greater number is at least 2 times the lesser number we have that the pairs are composed by one number between 1 and 7 and another number between 8 and 14.

Hence the pairs of each number are built as follows:

For the pair of the number 7, there are only one possible outcome, which is of 14.For the pair of the number 6, there are two possible outcomes, which are of either 12 or 13.For the pair of the number 5, there are three possible outcomes, which are of either 10, 11, and whichever of 12 or 13 is not paired with 6.For the pair of the number 4, there are four possible outcomes, which are of either 8, 9, and the two remaining numbers that are not paired with 5 or 6.For the pair of the number 3, there are three possible outcomes, which are the remaining numbers that are not paired with 4, 5 or 6.For the pair of the number 2, there are two possible outcomes, which are the remaining numbers that are not paired with 3, 4, 5 or 6.For the pair of the number 1, there is one possible outcome, which is the remaining numbers that is not paired with 2,3, 4, 5 or 6.

Hence the number of ways to split the numbers is:

2 x 3 x 4 x 3 x 2 = 144.

(the numbers were multiplied because of the Fundamental Counting Theorem).

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D degrees warmer than 50 degrees is 78 degrees

Answers

78 degrees is 28 degrees warmer than 50 degrees, as 78-50 = 28

Answer:

28

Step-by-step explanation:

Translate words into math -- "warmer" means +, "is" means =

So  D + 50 = 78
D = 78 - 50

D = 28

Write the equation in slope-intercept form. Then choose the line's slope and y-intercept from the choices. So, choose two total answers. 6x+8y=-32

Answers

Answer:

Slope = -3/4, y-intercept = -4

Step-by-step explanation:

[tex]6x+8y=-32 \\ \\ 3x+4y=-16 \\ \\ 4y=-3x-16 \\ \\ y=-\frac{3}{4}x-4[/tex]

So, the slope is -3/4 and the y-intercept is -4.

A teacher is four times as old as a student in 20 years the student age will be half of the teacher age how old are they now

Answers

Let the present age of student be x

Present of teacher will be 4x

After 20 years,

Age of student = x + 20

Age of teacher = 4x + 20

According to the given condition after 20 years,

x + 20 = (4x + 20)/2

x + 20 = 2x + 10

2x - x = 20 - 10

x = 10

So student's present age is 10 years while teacher's is 4 x 10 i.e 40 years.

Hope This Helps You!

The height of a plant grew linearly over the course of a month. Initially the plant was 2 inches tall and it grew at an average rate of change of 0.125 inches per day.
a. Find an equation that models the height of the plant H in terms of the number of days d.
b. Determine the height of the plant after 15 days.

Answers

The equation that models the height of the plant H in terms of number of days is H = 1.875+0.125d and the height of the plant after 15 days is 3.75 inches.

According to the question,

We have the following information:

Initially the plant was 2 inches tall and it grew at an average rate of change of 0.125 inches per day.

2, 2.125, ...

Now, this series will become an arithmetic progression.

Formula to find the nth term:

an = a+(n-1)d

H = 2+(d-1)0.125

H = 1.875+0.125d

Now, the height after 15 days will be:

H = 1.875+0.125*15

H = 1.875+1.875

H = 3.75 inches

Hence, the equation that models the height of the plant H in terms of number of days is H = 1.875+0.125d and the height of the plant after 15 days is 3.75 inches.

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Which of the following are characteristics of the graph of the absolute value
parent function?
Check all that apply.
A. It goes through the origin.
B. It is in quadrants I and II.
C. The left half has a slope of 1.
D. It is V-shaped.

Answers

Answer: All Are correct

Step-by-step explanation:

Look at graph, the vertex hits the origin, the parent function is on the top half of the graph (quads 1 and 2), both the left and right side have a slope of 1, and it is v shaped!

What does s equal in 3s=24

Answers

24 divide by 3 = 8
Answer is 8

in a fruit punch drink, the 3 ingredients are apple juice, orange juice and cranberry juice. If 1/3 of the drink in apple juice and 1/2 is orange juice then write the ratio of cranberry juice to apple juice to orange juice in its simplest form


URGENT

Answers

The ratio of cranberry juice to apple juice to orange juice in the fruit punch is  = 1 : 2 : 3

Let the total quantity of juice is 60 ml .

Now the apple juice is 1/3 of 60 = 20 ml

The orange juice is 1/2 of 60 = 30 ml

Therefore cranberry juice = 60 -(20+30) ml = 10 ml

Now the ratio of cranberry juice to apple juice to orange juice

= 10 : 20 : 30

= 1 : 2 : 3

We can exactly find out how much of one simple quantity is included in the other by simply comparing two amounts of the same units. Ratios can be divided into two smaller groups.

One is the part to the whole ratio; the other is the part to the part ratio. The exact relationship that is between the two distinct entities or groupings is only exactly depicted by the part-to-part ratio.

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find the value of f(4) for the function f(a)=7(a+2) "-7"

Answers

Answer: 35

Step-by-step explanation:

[tex]f(4)=7(4+2)-7\\\\f(4)=7(6)-7\\\\f(4)=7(5)\\\\f(4)=35[/tex]

Please help
A waste bin is in the shape of a cylinder . The diameter of the base is 20cm and the height is 25cm . what is the volume of the waste bin.

Answers

Answer:

[tex]250\pi[/tex] cm³

Step-by-step explanation:

If the radius is 20 cm, the diameter is 10 cm.

Thus, the volume is [tex]\pi(10^2)(25)=250\pi[/tex] cm³.

If tan(A + B) = −2 and tan B = 3, find tan A.

Answers

Tan a is -5
Sub in the value for b

Answer:

Tan a =1

Step-by-step explanation:

TRIG identity:

Tan ( a+b) =  (tan a + tan b )/ (1 - tan a  tan b)     Sub in the given values

      -2       = ( tan a + 3) / ( 1 - 3 tan a)

-2 + 6 tan a = tan a + 3

5 tan a = 5

  tan a = 1

The function y=f(x) is graphed below. What is the average rate of change of the function f(x) on the interval −9≤x≤1?

Answers

The average rate of change of the function f(x) on the interval −9≤x≤1 is of:

r = -0.2.

How to obtain the average rate of change of a function?

The average rate of change of a function is obtained by the change in the output divided by the change in the input. Hence, over an interval [a,b], the rate is given by the equation presented as follows:

[tex]r = \frac{f(b) - f(a)}{b - a}[/tex]

Over the interval −9≤x≤1, the bounds of the interval are given as follows:

a = -9, b = 1.

From the graph shown by the image presented at the end of the answer, the numeric value of the function at each of these bounds is given as follows:

f(-9) = 3.f(1) = 1.

Hence the average rate of change of the function on the interval is calculated as follows:

r = (1 - 3)/(1 - (-9)) = -2/10 = -0.2.

Missing Information

The graph is shown by the image at the end of the answer.

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4.8 is what percent of 12

Answers

Answer:40%

Step-by-step explanation:

Hillary ate 2/3 of a bag of Hot Cheetos in 3/4 of an hours. How much
of the bag of Hot Cheetos will Hillary eat in 5 hours.

Answers

Answer:

40/9

Step-by-step explanation:

Write a real world situation that could be modeled by the expression, 300+7x.

Answers

A real world situation that could be modeled by the expression, 300+7x is that Bob bought goods for $300 and then bought 6 pens that cost x dollar each.

What is an expression?

Expression simply refers to the mathematical statements which have at least two terms which are related by an operator and contain either numbers, variables, or both

In this case, Bob bought goods for $300 and then bought 6 pens that cost x dollar each. The total cost will be:

= 300 + (7 × x)

= 300 + 7x

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ron picked 7/10 bushels of apples ben picked 9/10 bushels of apples how many apples did they pick all together give your answer in lowest terms

1 3/5

1 1/2

1 6/10

1 3/10

Answers

Answer: 1 3\5

explanation :  since the denominator of both fractions are same we can go ahead and the numerators which will make the fraction 16\10 or 8/5 (simplified) and  to make this a mixed numeral 5 fits into 8 once with 3 leftover thus making 1 3/5.

hope this helps .

I need the answer and work please.

Answers

Answer: you prob fininshed 5,3

Step-by-step explanation:

also this is easy im srry for doing this

A 30-sided regular polygon has an angle measure represented as 6g°. Determine the value of g.
g = 30
g = 28
g = 180
g = 168

Answers

The value of g, for a  30-sided regular polygon has an angle measure represented as 6g° is calculated to be 28

How to find the value of g

The problem is solved using the formula for number of angles for n sided polygon

The formula is (n - 2)180

where n = number of sides

for 30-sided polygon the angles is solved as below

= (n - 2)180

= ( 30 - 2 ) * 180

= 28 * 180

= 5040

this is represented as 6g

each angle is measured 5040 / 30 = 168

6g = 168

g = 28

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Answer: 28

Step-by-step explanation: 168 is the whole polygon, so 6 times 28 is 168 therefore its correct, btw i also did the test

If 10 pants cost 240u.m, how much will 8 pants cost?​

Answers

Answer:

8 pants wil cost 192 u.m.

Step-by-step explanation:

1. Establish a rule of 3.

10 pants ----> 240u.m

8 pants  ----> x

2. Solve for x.

In a rule of 3, whenever the x is located at the bottom right corner, you always have to multiply upwards and to the right, and then divide the resulting number by the number on the top left. This is the operation you need to make:

x= (8 x 240) / 10

x= 192

Check the attached image to get a better understanding of this process.

3. Conclude.

8 pants wil cost 192 u.m.

-------------------------------------------------------------------------------------------------------

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Proportionality of magnitudes and rule of three

Proportional quantities are divided into directly and inversely proportional.

Two magnitudes are said to be directly proportional

when we multiply one of them by a number, the other is multiplied by the same number, and when we divide one of them by a number, the other is divided by the same number.

Problem :

If 10 pants cost 240u.m, how much will 8 pants cost?

We have:

[tex]\: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: - \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: + \\ \bold{ Assumption \: { \rightarrow} 10 \: pants \: \rightarrow 240 \: u.m\\\sf \: \: \: \: \: \: \: \: \: Question \rightarrow8 \: pants \rightarrow \: x \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: }[/tex]

As can be seen, the number of pants and the cost are magnitudes directly proportional, and therefore, we put the + sign below the pants and the - sign above.

Therefore we will have:

[tex]\boxed{ \bold{ \: x = \dfrac{240 * 8}{10} = 192 \: u.m} }[/tex]

So the 8 pants cost 192.

describe how to map line p onto line q

Answers

Answer:r

Step-by-step explanation:r

please asap will give brainliest

Answers

This will take time to be answered

The number of men and women receiving​ bachelor's degrees each year has been steadily increasing. For the years 1970 through the projection of​ 2014, the number of men receiving degrees​ (in thousands) is given by the equation y= 3.9x+446​, and for​ women, the equation is y= 14.2x+316​, where x is the number of years after 1970.

Answers

Answer:

if what I think you want is the number of bachelor degrees from from 1970 to 2014 for both men and women is then:

men: 617.6

women: 940.8

Step-by-step explanation:

from 1970 to 2014 it is 44 years so we plug 44 into x for both equations

Men:

y = 3.9(44) + 446

y = 171.6 + 446

y = 617.6

Women:

y = 14.2(44) + 316

y = 624.8 + 316

y = 940.8

SUPER EASY!!!!

Given the inequality 3x ≤ 24, determine the value of x.

S:{11}
S:{8}
S:{15}
S:{34}

Answers

Answer:

The answer to the question is B or 8

Step-by-step explanation:

this is because ther is 3x meaning three time what ever the answer is and because 8x3=24 it is equal to 24 so 24 is less than or equal to 24 hence the corr6 answer is 8.

Answer:

the answer is 8

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