A town has a population of 2000 and grows at 3.5% every year. To the nearest year, how long will it be until the population will reach 3900?

Answer:

54

Step-by-step explanation:

First let's replace the values x and y.

4y + 2x + 30 will become (4 * 5) + (2 * 2) + 30

Then we do order of operations.

(4 * 5) is 20..

20 + (2 * 2) + 30

Then we do (2 * 2) which is just four.

20 + 4 + 30

Lastly we add it all up.

24 + 30 = 54

I hope this helps, I hope it's not wrong, but I don't think it is.

Answer:

Disclaimer: You can disregard some if not wanted information.

1. decimal's

2. Exponent's

3. Variable's (still counts)

4. rational number's

5. Irrational Number's

6. Repeating Decimal's

7.Terminating decimal's

8.Integer's

One Honorable Mention:

Fraction's

Step-by-step explanation:

Answer:

rational numbers: 1/2, 5/8

irrational number: ie. pi, numbers under a root symbol

whole numbers: 0, 1, 2, 3...

real numbers: ie. 4, 1/2, -0.5

integers: ie. ...-3, -2, -1, 0, 1, 2, 3...

natural numbers: ie. 1, 2, 3, 4...

counting numbers

decimal numbers: ie. 0.2, 2.4

Answer:

51 meters

Step-by-step explanation:

The shape of the backyard is rectangular having a length, l=45 meters, and a width, w=24 meters as shown in the figure.

As wants to put a chicken wire fence that stretches diagonally from one corner to the opposite corner. So,

The length of fencing = The length of the diagonal AC or BD

As the length of both the diagonals of a rectangle are equals, AC=BD.

The length of fencing [tex]=\sqrt{l^2+w^2}[/tex] [length of the diagonal]

[tex]=\sqrt{45^2+24^2}=51[/tex] meters

Hence, Steve needs 51 meters of fencing.

Answer:

i think its abc stays same, bac gets smaller, and acb gets bigger

for the second part, abc same, bac bigger, acb smaller

Step-by-step explanation:

if you picture the triangle in your head that probably would help

If we take point C closer towards point B, then  ∠ABC will remain the same, the measurement of ∠BAC will decrease, and the measurement of ∠ACB will increase. Similarly, If we take point C far from point B, ∠ABC will remain the same, the measurement of ∠BAC will increase, and the measurement of ∠ACB will decrease.

Angle is formed by two lines or rays which have a common endpoint. Angle has two sides.

Here Given in the question that Point C is movable and it moves towards point B.

If we change the position of C nearer to point B keeping points B and A fixed in angle ∠ABC the side BC length will decrease but the gap between AB and BC will remain the same.  Therefore ∠ABC will remain the same.

If we change the position of C nearer to point B keeping point B and A fixed in angle ∠BAC, point C will get closer to point B for which the gap between AB and AC will decrease. Therefore the measurement of ∠BAC will decrease.

If we change the position of C nearer to point B keeping points B and A fixed in angle ∠ACB, point C will get far from point A as point A is fixed for which the gap between AC and CB will increase. Therefore the measurement of ∠ACB will increase.

Therefore if we take point C closer towards point B, then  ∠ABC will remain the same, the measurement of ∠BAC will decrease, and the measurement of ∠ACB will increase.

If we take point C far from point B, then the thing will be reversed except ∠ABC.

Therefore If we take point C far from point B, ∠ABC will remain the same, the measurement of ∠BAC will increase, and the measurement of ∠ACB will decrease.

Learn more about the angle

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Answer

yes triangle ABC is equal to triangle ADE

Step-by-step explanation:

x=46 cm, I got this after simplifying the equation of triangle ABC, x+4+x-4+x=138 cm, so this equation simplifies to 3x as +4-4 cancels out and there're 3 x's, so divide 138 by 3 and you get 46 cm, so AB is 50 cm, BC is 42 cm, and AC is 46 cm, this means EA is equal to EC, now here come a property of equality, EC attaches 2 parallel lines, as does DB, this means these 2 lines are transversals, so a number of angles are equal as well, corresponding angles are congruent, a.k.a equal to each other along with alternate interior angles, so since line DB AND line EC are transversals, we can deduce angle ADE is congruent to angle ABC, and angle DEA is equal to ACB, this mean we have 2 congruent angles, and 1 congruent set of sides, this mean that the 2 triangles are congruent due to Angle Angle Side, if your teacher doesn't use these terms, look it up, but the answer in short is yes, they are congruent or equal

We proved that ABC = triangle ADE by the concept of vertically opposite angles and given perimeter.

We know two similar planer figures are congruent when we have sides or angles or both that are the same as the corresponding sides or angles or both.

We know when a transversal intersects two parallel lines vertically opposite angles are equal hence DE ≅ CB.

Given, (x + 4) + x + (x - 4) = 138.

3x = 138.

x = 46.

Now, BC = ED = (46 - 4) = 42 cm.

Assuming DA to be y.

∴ 46 + 42 + y = 138.

y = 50

And AB = x + 4 = 50 hence proving triangle ABC = triangle ADE.

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Answer:

Option c. is correct

Step-by-step explanation:

Given: The red rectangular block has dimensions [tex]4\frac{1}{4}[/tex] inches by [tex]6\frac{1}{4}[/tex] inches by [tex]5\frac{1}{4}[/tex] inches.

To find: volume of the red block

Solution:

Volume of the rectangular box = length × breadth × height

First convert [tex]4\frac{1}{4}[/tex], [tex]6\frac{1}{4}[/tex] and [tex]5\frac{1}{4}[/tex] inches into improper fractions.

[tex]4\frac{1}{4}=\frac{17}{4} \\6\frac{1}{4}=\frac{25}{4} \\5\frac{1}{4} =\frac{21}{4}[/tex]

So,

Volume of the rectangular box [tex]=4\frac{1}{4} (6\frac{1}{4})(5\frac{1}{4} )=\frac{17}{4}(\frac{25}{4})(\frac{21}{4} )=\frac{8925}{64}=139\frac{29}{64}[/tex] cubic inches

Answer: 9 pizzas

Step-by-step explanation:

From the question, we are informed that Jackson Elementary School ordered 25 pizzas for an awards ceremony and at the end of the day, the principal found 8 1/4 pepperoni pizzas and 7 3/4 sausage pizzas left over.

A reasonable estimate for the number of pizzas the students ate at the awards ceremony will be:

= 25 - (8 1/4 + 7 3/4)

= 25 - 16

= 9 pizzas

Answer:

the answer is 15

Step-by-step explanation:

Answer:

45

Step-by-step explanation:

Given that the number of savory dishes is 9 and the number of sweet dished is 5.

Denoting all the 9 savory dishes by [tex]p_1, p_2,...,p_9[/tex], and all the sweet dishes by [tex]q_1,q_2,...,q_5[/tex].

The possible different mix-and-match plates consisting of two savory dishes are as follows:

There are 9 plates with [tex]q_1[/tex] from sweet plates which are [tex](q_1, p_1), (q_1, p_2), ..., (q_1,p_9).[/tex]

There are 9 plates with [tex]q_2[/tex] from sweet plates which are  [tex](q_2, p_1), (q_2, p_2), ..., (q_2,p_9).[/tex]

Similarly, there are 9 plated for each [tex]q_3, q_4[/tex] and [tex]q_5.[/tex]

Hence, the total number of the different mix-and-match plates consisting of two savory dishes

[tex]= 9+9+9+9+9= 9\times5=45[/tex]

Answer:

45

Step-by-step explanation:

each savory dish gets one sweet dish therefore 9*5=45

Answer:

here you go, this is your answer

stranger things A jewellery shop is having a sale.

A bracelet is reduced to £240.

a) What is the original price?

A ring is reduced to £840.

This is 40% of the original price.

b) Work out the original price of this ring.A jewellery shop is having a sale.

A bracelet is reduced to £240.

a) What is the original price?

% of the original price.

b) Work out the original price of this ring.A jewellery shop is having a sale.

A bracelet is reduced to £240.

a) What is the original price?

A ring is reduced to £840.

This is 40% of the original price.

b) Work out the original price of this ring.A jewellery shop is having a sale.

A brace

A ring is reduced to £840.

This is 40% of the original price.

b) Work out the original price of this ring. yeey this is important

Answer:

on my block

Step-by-step explanation:

i really love it so you probably will too:)

Answer:

2/3 because they have something to do with five

Step-by-step explanation:

Answer:

4.25

Step-by-step explanation:

5-3/4=4.25

sry if im wrong hope this helps

brainliest? please?

Answer:

(y + 4)(y + 1)

Step-by-step explanation:

Given

y² + 5y + 4

Consider the factors of the constant term (+ 4) which sum to give the coefficient of the y- term (+ 5)

The factors are + 4 and + 1 , since

4 × 1 = 4 and sum = 4 + 1 = 5 , thus

y² + 5y + 4 = (y + 4)(y + 1) ← as a product of factors

Answer:

D

Step-by-step explanation:

if it was written in scientific notation, it would be 5*10^1

There shouldn't be decimals or part of numbers(6.0 is okay because 6.0 =6) in scientific notation

Answer:

Scenario 1/129 veggie rolls/Scenario 2/59 Shrimpy BOis

Step-by-step explanation:

1/

129x .75 = 96.75=97

.95 x 56 = 53.2=53

2/

59 x .95 = 56.05=56

.75 x 38 = 28.5=28

Answer:

I would say its D. 9.00

Step-by-step explanation:

Answer:

r = 2

Step-by-step explanation:

3|3 - 5 * 2|- 3 = 18

3|3 - 10| - 3 = 18

3 * 7 - 3 = 18

21 - 3 = 18

18 = 18

(Since there are absolute value signs, the answer to |3 - 5r| will be positive)

Answer:

r=0.8

Step-by-step explanation:

3|3-5r|-3=18

9-15r -3=18

6-15r=18

15r=12

r=0.8

Answer:

Step-by-step explanation:

Use the given functions to set up and simplify

2%.8000=a⋅(5yearcd)= 5ea2yrcd2%=0.02

Answer:

100

Step-by-step explanation:

Answer:

31

Step-by-step explanation:

plug in 5 for x

6(5)+1

30+1

31

A function is a relation that gives one output for every single input thus the value of f(5) for the function will be 31.

A certain kind of relationship called a function binds inputs to essentially one output.

A function can be regarded as a computer, which is helpful.

The machine will only accept specified inputs, described as the function's domain, and will potentially produce one output for each input.

As per the given funciton,

f(x) = 6x + 1

At x = 5

f(5) = 6(5) + 1

f(5) = 30 + 1 = 31

Hence "A function is a relation that gives one output for every single input thus the value of f(5) for the function will be 31".

For more about the function,

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Answer:1.20/5

Step-by-step explanation:

Answer:

9/10 or in decimal form 0.9

Step-by-step explanation:

Answer:

80

Step-by-step explanation:

It's a 180 angle

Answer: 15:26

Step-by-step explanation:

Given: Car a travels 15 miles while car b travels 26 miles.

Now, the ratio of the distance traveled by car a to car b is given by :-

[tex]\dfrac{\text{15 miles}}{\text{26 miles}}=\dfrac{15}{26}[/tex] , which is the fraction in the simplest as highest common factor of 15 and 26 =1.

So, the the ratio of the distance traveled by car a to car b = 15:26

Hence, the ratio of car a to car b = 15:26

Answer:

7

Step-by-step explanation:

[tex]8.05 \times 12 = 96.6[/tex]

[tex]96.6 \div 13.80 = 7[/tex]

i think this is the answer

Answer:

the answer is 7 pounds of apples for $8.05

Step-by-step explanation:

you first divide $13.80/12= 1.15

then when you multiply 1.15x7 it will give you 8.05 as an answer.

Answer: 12x2 -21x +42

Step-by-step explanation:

Answer:

Step-by-step explanation:

The given parameters are;

The length currently used to make staple strips by the company = 8-meter pieces

The process of making staples by the company = Cut, bending, and bonding

Therefore, given that the process of manufacturing staple strips are by cutting strips of wire, we have;

The wire most suitable for the manufacture of staple strips is a wire that is a factor of 8

Therefore, among the given options, the wire with length l = 4-meters which is the 8-meter length split into two, is the most suitable, because 4-meter = 8-meter/2, whereby 4 is seen as a factor 8 or 8 = 4 × 2, such that two 4-meter wire strips will make the same quantity of staple pins as one 8-meter strip.

Answer:

Hello your question is incomplete attached below is the complete question and solution as well as the detailed solution

Step-by-step explanation:

The total change in elevation as represented in the number line is

600 - 600 = 0 ( sea level )

below sea level = 0 - 200 = -200 (where the famous boulder is located)

-200 -400 = - 600 feet ( bottom of canyon)

Answer:

y=2X

Answer:

=4a−3b+2c

Step-by-step explanation:

There's not enough information to solve. Comment and I'll reply with an answer