The population of a town grows uniformly at the rate of 4% every year. In how many years will the population of the town grow from 15,62,500 to 17,57,600?​

Answers

Answer 1

Therefore , the solution of the given problem of percentage comes out to be time n = 3 years.

What is percentage?

A figure or ratio that is stated as a percentage of 100 is referred to as a percentage in mathematics.  However, the percent symbol ("%) is usually used to denote it." The percent amount is flat. When the numerator is 100, percentages are really just fractions. Put the standard form (%) next to a number to show that it is a percentage. For instance, if you correctly respond to 75 out of questions in total on a test, you receive a 75% (75/100).

Here,

Given: 1757600 more people overall

Population as of now: 1562500

According to the issue,

=> 1562500[tex](1 + 4/100 )^{n}[/tex] = 1757600

=> [tex](26/25)^{n}[/tex] =  1757600/ 1562500

=>  [tex](26/25)^{n}[/tex]=  [tex](26/25)^{3}[/tex]

On comparing,

n=3

Therefore , the solution of the given problem of percentage comes out to be time n = 3 years.

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Related Questions

I need help pls answer

Answers

Increase=5%/100% x $12 =0.60
$12.00 + $0.60=$12.60

HELPPP MEE THANK U, 20 POINTS!~

Answers

Answer:

B

Step-by-step explanation:

The second box plot starts later then the first one on the number line.

PlEASE HELP ME WITH TWO QUESTIONS!!!!!!!!!!!

Answers

Answer:

3000x5

Step-by-step explanation:

HELP MEEEEEE PLEASESEE PLEASE

Answers

Answer:

240 grams

Step-by-step explanation:

720-480=240

Answer:

240

Step-by-step explanation:

subtraction

720-480

summarize how you can find the slope of a perpendicular line.

Answers

Finding the slope of a perpendicular line is fairly simple…

Let’s say we have the line given in slope-intercept form (y=mx+b), y=3x+1.

We know looking at this equation that the slope of the line is 3. To find a slope that is perpendicular you need to find it’s opposite reciprocal. In the case of 3, it’s opposite would be from + to -, so -3. The reciprocal would flip the number into a fraction -3 => -1/3. So the line perpendicular would have a slope of -1/3.


Steps:
1. Determine the slope of the line

2. Switch from a positive to a negative or a negative to a positive

3. Find the reciprocal (2/5 => 5/2, 1/4 => 4)

Since "slope" tells us the angle of the line being graphed, the word "slope" is commonly used in mathematics.

Planar geometry states that all lines have slopes. Any slope can be calculated by comparing it to another line, usually the x-axis. A line's slope, or angle, in relation to that x-axis value is how steep it is.

In mathematics, slope is the proportion of the change in the y value to the change in the x value.

Two perpendicular lines have a slope such that the reciprocal of the negative slope of one line equals the slope of the other. The slope of perpendicular lines is -1 as a result.

The relationship between the slopes of parallel lines can be demonstrated using the formula m1.m2 = -1, if the slopes of the two perpendicular lines are m1, m2.

Like a fraction, a slope works by favoring the rise, up-and-down movement, over-the-run, or side-to-side movement. If a line rose up one unit for every rightward unit traveled, the slope would be a positive one.

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I need help with this question please help me with this

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By basic algebra, the part to be cut is equal to 17/45. When the numerator exceeds or is equal to the denominator, the fraction is said to be improper. 5/2 and 8/5, for instance, are improper fractions. Each fraction has two components.

In math, what is a fraction?

An element of a whole is a fraction. The number is represented mathematically as a quotient, where the numerator and denominator are divided. Both are integers in a simple fraction. A fraction appears in the numerator or denominator of a complex fraction. The numerator of a proper fraction is less than the denominator.

Let x part is cut to shorten

then,

[tex]\frac{3}{2}-x=\frac{2}{9}\\\\x=\frac{3}{5} -\frac{2}{9} \\\\x=\frac{17}{45}[/tex]

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Solve for the value of c (2c-4) (5c+3)

Answers

Is this correct ☑️☑️✔️

Answer:

its 13

Step-by-step explanation:

What are the coordinates of point G?

Answers

Answer:

D. (4,9)

Step-by-step explanation:

You deposit $250 in an account that earns simple interest at an annual rate of 2.2%.
How much money is in the account after 4 years?

Answers

Answer: $272

Step-by-step explanation: you would multiply 250 * 0.022 = 5.5

then you would multiply 5.5 * 4 = 22 then you would add 22 + 250 = 272

6x(2x+3)+1(2x+3)
Rewrite the expression

Answers

The answer to this question in particular is 12x^2+20x+3

need help solving this problem please ​

Answers

Step-by-step explanation:

[tex] \cos( \frac{ \alpha }{2} ) = \sqrt{ \frac{1 - \cos( \alpha ) }{2} } \\ = \sqrt{ \frac{1 - ( - \frac{15}{17}) }{2} } \\ = \sqrt{ \frac{32}{34} } [/tex]

please help!

Use the Fundamental Counting Principle to determine how many kinds of teddy bears you can build if you must choose one of each category.
1) Choose the bear.
2) Choose an accessory.
3) Choose sound option.

Answers

Answer:

Step-by-step explanation:

33

A movie theater sells popcorn in bags that open to form similar prisms, as shown. The large bag has a volume of 576 cubic inches. The small bag is 12 in tall and the large bag is 16 in tall. What is the volume of the small bag?

Answers

Can’t be determined
Can’t be determined

If f(x) = 2x4 - 3x + 3, then what is the remainder when f(x) is divided by x - 1?

Answers

The remainder on dividing 2x⁴-3x+3 by x-1 is 2

What are functions?

Function, in mathematics, is an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable).

Given here: 2x⁴-3x+3 by x-1

The remainder theorem states that when a polynomial p(x) is divided by (x - a), then the remainder = f(a)

∴ The remainder would is f(1) = 2×1-3+3

                                                 =2

Hence, The remainder on dividing 2x⁴-3x+3 by x-1 is 2

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speeeeeeeedddddddddddddddddddddddddddddddd

Answers

Answer:

I would be ...

75/8

multiple 9 by 8 and then add 3

Hope this helps!

Step-by-step explanation:

;)

Answer:

75/8!

Step-by-step explanation:

I thought of a number, added 26 to it, and then divided the result by 20. What is my number?

Answers

Answer:

12?

Step-by-step explanation:

100 POINTS!!!!! PLEASE HELP!

Answers

Answer:

[tex]a^{12} b^{4}[/tex]

Step-by-step explanation:

To simplify we will have to use the negative exponent rule and the power rule along with some algebra.

Negative Exponent Rule

[tex]a^{-b} =\frac{1}{a^b}[/tex]

Power Rule

[tex](a^b)^{c} =a^{bc}[/tex]

Given

[tex](a^{-4}b^{-1}c )^{2} (a^2bc)^{2}[/tex]

Rewrite [tex]a^{-4}[/tex] using negative exponent rule.

[tex](\frac{1}{a^{4}}* b^{-1}c )^{2} (a^2bc)^{2}[/tex]

Rewrite [tex]b^{-1}[/tex] using negative exponent rule.

[tex](\frac{1}{a^{4}}* \frac{1}{b}*c )^{2} (a^2bc)^{2}[/tex]

Simplify

[tex](\frac{c}{a^4b} )^{2} (a^2bc)^{2}[/tex]

Rewrite the base as its reciprocal.

[tex](\frac{a^4b}{c} )^{2} (a^2bc)^{2}[/tex]

Apply the power rule.

[tex]\frac{a^8b^2}{c^2} *(a^2bc)^{2}[/tex]

Apply the power rule.

[tex]\frac{a^8b^2}{c^2} *a^4b^2c^2[/tex]

Cancel the common factor of [tex]c^2[/tex].

[tex]a^8b^2 a^4b^2[/tex]

Apply the power rule.

[tex]a^{12} b^{4}[/tex]

Answer:

[tex]a^{12}\:b^{4}[/tex]

Step-by-step explanation:

Given expression:

[tex]\left(a^{-4}\:b^{-1}\:c\right)^{-2}\left(a^2\:b\:c\right)^2[/tex]

[tex]\textsf{Apply exponent rule} \quad (a^b)^c=a^{bc}:[/tex]

[tex]\implies a^{(-4 \times -2)}\:b^{(-1 \times -2)}\:c^{-2}\:a^{(2 \times 2)}\:b^2\:c^2[/tex]

Simplify:

[tex]\implies a^{8}\:b^{2}\:c^{-2}\:a^{4}\:b^2\:c^2[/tex]

Collect like terms:

[tex]\implies a^{8}a^{4}\:b^{2}b^2\:c^{-2}c^2[/tex]

[tex]\textsf{Apply exponent rule} \quad a^b \cdot a^c=a^{b+c}:[/tex]

[tex]\implies a^{(8+4)}\:b^{(2+2)}\:c^{(-2+2)}[/tex]

Simplify:

[tex]\implies a^{12}\:b^{4}\:c^{0}[/tex]

[tex]\textsf{Apply exponent rule} \quad a^0=1:[/tex]

[tex]\implies a^{12}\:b^{4}(1)[/tex]

[tex]\implies a^{12}\:b^{4}[/tex]

Choose the mathematical sentence that most accurately expresses the
information in the problem, and would be most helpful in solving it.
There are 25 milligrams of sodium per serving in a bag of potato chips. In
that bag there are 5 servings. How many milligrams of sodium are there in the
whole bag?
A. S+5 = 25
B. 5 : s= 25
C. S-5 = 25
D. s = 5(25)
O E. S : 5 = 25
O F. S = 25+ 5

Answers

Answer:

[tex]s = 5 * 25[/tex]

Step-by-step explanation:

Given

[tex]Servings = 5[/tex]

[tex]Sodium/Serving = 25mg[/tex]

Required

The number of sodium mg in the bag

This is calculated as:

[tex]s = Servings * Sodium/Serving[/tex]

[tex]s = 5 * 25[/tex]

Hence: (D) is correct

What is the probability of tossing a coin and getting heads three times in a row?

What is the chance that the next toss will be heads? What is the chance that the next toss will be tails?

Answers

The probability of tossing 3 heads in a row is P = 0.125, and after that, because the events are independent, the probability of getting heads (or tails) still is p = 0.5

How to find the probability?

Assuming that we have a fair coin, we assume that both outcomes have the same probability, so:

P(tails) = 0.5

P(heads) = 0.5

Then the probability of getting heads 3 times in a row, is the product of the probability of getting heads 3 times, this will be:

P(3 heads) = 0.5*0.5*0.5

P(3 heads) = 0.5^3

P(3 heads) =  0.125

Now, after this point, what is the probability of getting heads or tails?

Remember that each toss of the coin is independent of the previous one, so the probability of getting tails still is 0,5, and the same for the probability of getting heads.

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PS lies on the perpendicular bisector of QR. Select all the statements about the figure that must be true.

Answers

Of the given statements, only the option number {5} and {6} are true.

What is perpendicular bisector?

The perpendicular bisectors of a triangle are lines passing through the midpoint of each side which are perpendicular to the given side. A triangle's three perpendicular bisectors meet at a point. known as the circumcenter, which is also the center of the triangle's circumcircle.

Given is a triangle as shown in the image.

Since PS is the perpendicular bisector of QR, we can write -

QS = SR

6n + 3 = 4n + 11

2n = 8

n = 4

QR = QS + SR

QR = 6n + 3 + 4n + 11

QR = 10n + 14

QR = 10 x 4 + 14

QR = 54

and

SR = 4n + 11

SR = 16 + 11

SR = 27

Therefore, of the given statements, only the option number {5} and {6} are true.

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Determine a system of linear equations that represents the problem. Be sure to explain how you created the equations.

Answers

Answer:

a-

3x+3y=11.25

4x+2y=10

- Joy and John MacAllister have agreed to purchase a house for $79,900. First
National Savings & Loan is willing to lend the money at 7.5 percent for
25 years, provided the MacAllisters can make a $19,900 down payment. The
total closing cost is 3.5 percent of the amount of the mortgage. What is their
total closing cost?

Answers

Answer:

Step-by-step explanation‎:

A principal of $3600 is invested at 3.5% interest, compounded annually. How much will the investment be worth after 12 years? Use the calculator provided and round your answer to the nearest dollar. X S​

Answers

Answer:

$5043

Step-by-step explanation:

To find the value of the investment after 12 years, you can use the following formula:

A = P * (1 + r/n)^(nt)

Where:

A = final amount

P = principal

r = interest rate

n = number of times the interest is compounded per year

t = number of years

Plugging in the values from the problem, we get:

A = 3600 * (1 + 3.5/100)^(1*12)

Solving this equation, we get:

A = $5043.33

So, after 12 years, the investment will be worth $5043.33.

-5(6x+3y-1)
Simplify

Answers

Answer:

-30x+15y+5 is the simplified answer

Two car dealerships pay their employees a monthly salary plus a commission on cars that they sell.

Answers

The person who is right on the dealership that pays a higher commission, is Tyson because Dealership A pays the higher commission.

How to find the commission paid ?

The commission paid on Dealership A cars can be found by the formula :

= ( Monthly income for 4 cars - Monthly income for 1 car ) / Difference in number of cars

= ( 3, 850 - 1, 900 ) / ( 4 - 1 )

= $ 650

The commission paid on Dealership B cars would be:

= ( Monthly income for 4 cars - Monthly income for 1 car ) / Difference in number of cars

= ( 3, 500 - 2, 000 ) / ( 4 - 1 )

= 1, 500 / 3

= $ 500

Dealership A pays the higher commission.

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A cylindrical paint can has a diameter of 12 centimeters and
height of 16 centimeters. Which is closest to the volume of
the paint can in cubic centimeters?

Answers

Answer:

Step-by-step explanation:

you could find the area of the circle ,  then multiply that by the height

area of circle = [tex]\pi[/tex][tex]r^{2}[/tex]

[tex]\pi[/tex][tex]6^{2}[/tex]=113.0973355

16*113.0973355=1809.5573

The volume of the paint can in cubic centimeters 1808.64 cm³.

what is Volume?

The amount of space occupied by a three-dimensional figure as measured in cubic units.

given: radius= 6cm and height= 16 cm

Volume of cylinder= πr²h

                               = 3.14*6*6*16

                               = 1808.64 cm³

Thus, the volume of the paint can in cubic centimeters 1808.64 cm³.

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AB=25 , BD=4, Solve for the radius?
Please help!!!!!

Answers

9514 1404 393

Answer:

  r = 14.5

Step-by-step explanation:

AD is the perpendicular bisector of chord EC, so is the diameter of the circle. The radius is half the diameter.

  r = AD/2 = (AB +BD)/2 = (25 +4)/2 = 29/2

  r = 14.5

__

Segments BE and BC are 10 = √(25·4)

A house 20 meters long and 15 meters wide is surrounded by a verandah of uniform width of 3 meters. Find the cost of the flooring the verandah at RS 200 per square meter

Answers

Answer:

49200 rs. so the cost of flooring =246*200=49200 rs

Step-by-step explanation:

Solution :

we measure the area of veranda by taking width in addition of length and breadth- house area

it means

area of veranda =outer rectangle-inner rectangle

⇒area= (20+3+3)*(15+3+3)-20*15

⇒area=26*21-300

⇒area= 546-300

⇒area=246 m²

Hence , the cost of flooring =246*200=49200 rs.

i dont understand this help

Answers

laucs ori nisiquiera estoy en universidad estoy en eseyo pe

if someone takes your food is it still sharing ​

Answers

Yes, it is not sharing by choice but you are technically still giving it to the person.

Answer:

not unless you want them to have it :)

Step-by-step explanation:

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