1) The population of Leafy Lake starts at 3,000 and grows by 25% every year. What will the population be in 6 years?

how do I solve it

Answers

Answer 1
X/3,000 = 25/100
100x = 3,000x25
100x = 75,000
100x/100 = 75,000/100
X = 750

750x6 = 4,500
Every year the population goes up by 750, in 6 years the population would be 4,500 people.
Answer 2

Answer:

Step-by-step explanation:

Rate of increase = r = 25%

n = number of years = 6

P = Current population = 3000

Population after n years = [tex]P*(1 + \frac{r}{100})^{n}[/tex]

            [tex]= 3000 * (1 +0.25)^{6}\\\\= 3000 * (1.25)^{6}\\\\= 3000 * 3.8\\\\= 11400=[/tex]


Related Questions

Which of the following sets represents the range of the diagram below? 2 3 3 A. {1,2,4) B. {3} C. {1,2,3,4} D. {4}​

Answers

Answer:

bd.{4}

Step-by-step explanation:

becuaswe i had the test

What are the ratio of dogs to total pets if there are 3 dogs and 5 cats?​

Answers

Answer:

3:(3+5) = 3:8 this is the required answer

put these in order starting from the smallest 0.72,4/5,0.799,9/10​

Answers

Answer:

0.72  ; 0.799   ; 0.8   ; 0.9

Step-by-step explanation:

4/5 = 0.8

9/10 = 0.9

Ascending order:

0.72  ; 0.799   ; 0.8   ; 0.9

First compare the tenth places. If tenth places are same, compare hundredth places

0.72, 0.799, 4/5 and 9/10

Solve for x
5x + 7 = 11
Give your answer as a fraction in its simplest form.

Answers

Step-by-step explanation:

5x=11-7

5X= 4

X=4/5

=0.8 Answer

Answer:

[tex]5x + 7 = 11 \\ 5x = 11 - 7 \\ 5x = 4 \\ x = \frac{4}{5} \\ thank \: you[/tex]

P(-3,6), Q(-3,-6) and R(6,-2) are the vertices of a triangle. Calculate the perimeter of this triangle.​

Answers

Answer:

33.89

Step-by-step explanation:

the side lengths are the distances between the corner points of the triangle.

P and Q have the same x value, and they therefore create a side parallel to the y-axis. and it is easy to find the length of this side : it is just the difference of the y values.

PQ = 6 - (-6) = 6 + 6 = 12

QR and RP are trickier.

we need Pythagoras to calculate the length of the direct connection between these points as the Hypotenuse of the right triangles with the differences in x and in y values as the other sides.

QR :

QR² = (-3 - 6)² + (-6 - -2)² = (-9)² + (-4)² = 81 + 16 = 97

QR = sqrt(97) ≈ 9.848857802

RP :

RP² = (6 - -3)² + (-2 - 6)² = 9² + (-8)² = 81 + 64 = 145

RP = sqrt(145) ≈ 12.04159458

the perimeter/circumference of the triangle is the sum of all 3 sides

= 12 + sqrt(97) + sqrt(145) ≈ 33.89

Gianna rented shoes, bowled 5 games, and bought 2 orders of nachos. She used a coupon for 25% off the price of her bowling games only.

Answers

Answer:

[tex]Total = \$15.625[/tex]

Step-by-step explanation:

Given

See attachment for price lists

Required

The amount paid

We have:

[tex]Shoes = \$2.75[/tex]

[tex]Games = \$2.50 * 5 = \$12.5[/tex] --- we multiply by 5 because he played 5

[tex]Nacho = \$1.75 * 2 =\$3.50[/tex] --- we multiply by 5 because he bought 2

Apply 25% coupon to the games, we have:

[tex]Games = \$12.5 - 25\% * \$12.5[/tex]

[tex]Games = \$12.5 - \$3.125[/tex]

[tex]Games = \$9.375[/tex]

So, the total amount paid is:

[tex]Total = Shoes + Games + Nacho[/tex]

[tex]Total = \$2.75 + \$9.375 + \$3.50[/tex]

[tex]Total = \$15.625[/tex]

Solve [tex]27 = 3^4^x^+^1[/tex]



A. 1/4

B. 1/2

C. 2

D. 4

Answers

Answer:

1/2

Step-by-step explanation:

27 = 3 ^(4x+1)

Rewriting 27 as 3^3

3^3 = 3 ^(4x+1)

Since the bases are the same, the exponents are the same

3 = 4x+1

Subtract 1

3-1 = 4x+1-1

2 =4x

Divided by 4

2/4 = 4x/4

1/2 =x

Instructions: Match each step with the correct ordered description for how to construct a copy of line

Answers

The correct steps of how to construct a copy of line with the aid of a compass would be given below as follows

How to construct a line segment?

To construct a line segment, the correct matching of the steps are given below as follows:

Step one: Start with line segment PQ that we will copy.

Step two: Set the compass point on the point P of the line segment to be copied.

Step three: Adjust the compass width to the point Q. The compass width is now equal to the length of the line segment PQ.

Step four:Mark a point R that will be one endpoint of the new line segment.

Step five : Without changing the compasses width, place the compasses point on the point R on the line you drew previously.

Step six: without changing the compasses width draw an arc roughly where the other endpoint will be.

Step seven pick a point S on the arc that will be the other endpoint of the new line segment.

Step eight: Draw a line from R to S.

Step nine: The line segment RS is equal in length (congruent to) the line segment PQ.

Learn more about line segments here:

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The graphs below have the same shape. What is the equation of the red
graph?
G(X) =

Answers

The answer is B, the y intercept is 6

The equation of the red graph is g(x) = 6 - [tex]x^4[/tex].

Thus, option (B) is correct.

Given:

Function 1 : f(x) = 3 - [tex]x^4[/tex]

As, the y-intercept is the point where a line or curve intersects the y-axis.

It is the value of y when the corresponding x-coordinate is zero. It is the point(s) where the graph crosses the y-axis.

Now, from the graph of function f(x) has the intercept 6.

Also, the graph of function g(x) is 3 unit up from the function f(x).

So, the equation of g(x) will be

= f(x)  + 3

= 3 - [tex]x^4[/tex] + 6

= 6 - [tex]x^4[/tex]

Thus, option (B) is correct.

Learn more about Function here:

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If f(x) = x^2 and g(x)=x+ 6 find g(f(0))

Answers

Answer:

6

Step-by-step explanation:

The solution for this problem is in this picture.

ramu swims a distance of 3 km each upstream and downstream. The total time taken is one hour. if the speed of the stream is 4km/h, then find the speed of ramu in still water.
(a) 12km/h
(b) 8km/h
(c) 9km/h
(d) 6km/h
please answer :)

Answers

Answer:

:5 or 6km per hour is your answer.

6. You begin work at 8:30 am. You take an unpaid lunch break from 11:45 am to 12:30 pm
You also take two 15-minute unpaid coffee breaks during the day. Your work day ends
at 5:00 pm. How many hours are you paid?
a) Express your answer in hours and minutes.
b) Express your answer as a decimal in hours only.​

Answers

Answer:

7 hours 15 minutes

7.25 hours

Step-by-step explanation:

Break from 11:45 am to 12:30 pm = 45 minutes

Two 15-minute unpaid coffee breaks during the day = 30 minutes

Total break hours = 45 minutes + 30 minutes

= 1 hour 15 minutes

Total work day hours from 8:30 am to 5:00 pm = 8 hours 30 minutes

How many hours are you paid?

Total hours paid = Total work day hours - Total unpaid break hours

= 8 hours 30 minutes - 1 hour 15 minutes

= 7 hours 15 minutes

b) Express your answer as a decimal in hours only

7 hours 15 minutes as a decimal

15 minutes to hour = 60 minutes/15 minutes

= 1/4

= 0.25 hours

7 hours 15 minutes as a decimal = 7 hours + 0.25 hours

= 7.25 hours

The Spanish club was selecting which carnival booths to sponsor at the fall

carnival from a list of twelve. How many different ways can they choose two

booths from a selection of twelve?

Answers

Answer:

66

[tex]\frac{12!}{2!\left(12-2\right)!} =66[/tex]

Step-by-step explanation:

Answer:

66

Step-by-step explanation:

eigthy millimetes as a percentage of one metre is
8
80
800
8000​

Answers

Answer:

8%.

Step-by-step explanation:

There are 1000 millimeters in 1 meter.

So the percentage is (80/1000) * 100

= 80/10

= 8%.

0.08 meters that’s what it should be i think

Adele, Dennis, and Marie are siblings. The sum of their ages is 29. Marie is the eldest, and Adele is the youngest. None of the siblings are older than 16 or younger than 6. No two are the same age. List all the combinations of ages they could be in the organized list below. What is the probability that Marie is 12 years of age?

Answers

Answer:

also, Marie = 1/2

What is the equation of the following line written in general form? (The y-intercept is 7.)
y
(-2.1)

Answers

Answer:

[tex]{ \tt{slope = \frac{7 - 1}{0 - ( - 2)} = 3 }} \\ \\ { \tt{y = mx + c}} \\ { \boxed{ \bf{y = 3x + 7}}}[/tex]

72 x 24 in algorithm

Answers

72 x 24 is equal to 1,728

13 ft

60 Ft

If the grain pile has a diameter of 60 feet and a height of 13 feet, what is the volume of the grain pile?

o A. 3900TT ft

B. 11700 ft

o C. 260 TT ft3

D. 15600TT ft3

Answers

Answer:

if I'm correct I think it's B

Hihi , please help if able.

Answers

I think it’s C
I got C because in the picture, it shows 5x’s, 2y’s and one Z

I hope this helps! ( sorry if incorrect ) I’m pretty sure it’s right

suface areas- cones
wdh

Answers

Answer:

65

Step-by-step explanation:

The slant height of a cone is the length of a segment from the base to the vertext along the surface of the cone.

You can use the given dimenstions as the legs of a right triangle, and the slant heifght is rthe hyopotenuse.

L^2 = r^2 + h^2

L^2 = 5^2 + 12^2

L^2 = 169

L = 13

The slant heiht is 13 cm.

LA = (pi)rL

LA = (pi)(5 cm)(13 cm)

LA = 65(pi) cm^2

2- b/3 = -5/2...................

Answers

Answer:

b = 7.5

[tex]b=7\frac{1}{2}[/tex]

[tex]b=\frac{15}{2}[/tex]

Step-by-step explanation:

[tex]\frac{-b}{3}= \frac{-5}{2}[/tex]

- b × 2 = - 5 × 3

- 2b = - 15

- 2b ÷ - 2 = - 15 ÷ - 2

b = 7.5

Hi there!  

»»————- ★ ————-««

I believe your answer is:  

[tex]b=\frac{27}{2}[/tex]

»»————- ★ ————-««  

Here’s why:

⸻⸻⸻⸻

[tex]\boxed{\text{Calculating The Answer...}}\\\\2-\frac{b}{3}=-\frac{5}{2}\\--------------\\\rightarrow 2 - 2 -\frac{b}{3}=-\frac{5}{2}-2\\\\\rightarrow-\frac{b}{3}=-\frac{9}{2}\\\\\rightarrow (-\frac{b}{3})3=(-\frac{9}{2})3\\\\\rightarrow -b = -\frac{27}{2}\\\\\rightarrow \frac{-b = -\frac{27}{2}}{-1}\\\\\rightarrow \boxed{b=\frac{27}{2}}\text{ or } \boxed{b=13.5}[/tex]

⸻⸻⸻⸻

»»————- ★ ————-««  

Hope this helps you. I apologize if it’s incorrect.  

Solve the system of equations by graphing on a separate sheet of paper. Write your solutions as ordered pairs from least to greatest with respect to the x-coordinate.

y=x2−4x+1
y=x−3

Answers

Answer:

(1, -2), (4, 1)

Step-by-step explanation:

Here we want to solve the system of equations:

y = x^2 - 4*x + 1

y = x - 3

First, we can see that in both parts we have isolated the variable "y", so we can just write:

x - 3 = y = x^2 - 4*x + 1 = y

removing the "y"s, we get:

x - 3 = x^2 - 4*x + 1

Now we can solve this for x

0 = x^2 - 4*x + 1 - x + 3

0 = x^2 - 5*x + 4

This is a quadratic equation, the solutions are given by the Bhaskara's formula, that says that for a general quadratic equation:

0 = a*x^2 + b*x + c

The solutions are given by:

[tex]x = \frac{-b \pm \sqrt{b^2 - 4*a*c} }{2*a}[/tex]

So for the case of our equation:

0 =x^2 - 5*x + 4

The solutions are given by:

[tex]x = \frac{-(-5) \pm \sqrt{(-5)^2 - 4*1*4} }{2*1} = \frac{5 \pm 3}{2}[/tex]

So the two solutions are:

x₁ = (5 + 3)/2 = 4

x₂ = (5 - 3)/2 = 1

To find the ordered pair, we need to replace these values in one of the equations of the system, let's use the second:

y = x₁ - 3 = 4 - 3 = 1

Then we have one solution at (4, 1)

And for the other:

y = x₂ - 3 = 1 - 3 = -2

then the ordered pair is (1, -2)

Now we want to write from least to greatest with respect to the x-coordinate, then the correct order is:

(1, -2), (4, 1)

Tìm tất cả các giá trị của y sao cho. x2 + y2 +2z2 +2xy - 2xz - 4yz + 3y >= 0 với mọi x, z

Answers

Answer:

shimani mashashina mashina shishushi mashinana

Please help me for this problem.

Answers

Answer:

B: 1 and 3

Step-by-step explanation:

corect me if im wrong hope it helps aki brainliest thx:)

Find the positive solution to each equation
A. t^3 = 216
B. a^2= 25
C. m^3 = 8
D. c^3 = 343
E. f^3 = 64

Answers

Answer:

A. T=3

B. A=5

C. M=2

D. C=7

E. F =4

Choose the scenario that could be represented by 5/6
A. Five friends share six pizzas equally. B. Six pounds of oats are divided equally among five horses.
C. A six-foot string is cut into five equal pieces.
D. A five-hour bus trip is divided into six equal legs. ​

Answers

Answer:

d. A five-hour bus trip is divided into six equal legs.

Step-by-step explanation:

hope it helps

Answer:

Step-by-step explanation:

A - You'd divide the 6 pizzas by 5 friends. 6/5.

B - You're dividing the 6 oats by 5 horses. 6/5.

C - You're dividing the 6-ft string by 5 pieces. 6/5.

D is the only one dividing a whole of 5 into 6 parts.

Complete the expanded form of this number.

6,738

Enter numbers from greatest to least place value starting on the left.

Answers

6,000 + 700 + 30 + 8 is the expanded from.

Which of the following are examples of Structuring?
(Select all that apply)

A) Trying to purchase or reload multiple prepaid cards/gift cards, in multiple transactions as smaller amounts
B) Purchasing prepaid cards/gift cards at different registers,
C) Breaking up a large amount of money by coming in several times a day to conduct financial services transactions

Answers

Answer:all of them

Step-by-step explanation:

I just took the test

'All the given statement' demonstrates structuring.

In the context of money laundering, 'Structuring' is characterized as the process in which a huge sum of money is split into smaller sections or transactions in order to locate funds without coming to the notice of the legal department.

To ensure this splitting of money, several bank accounts with several names are used. Attempts to make purchases worth smaller amounts using multiple cards.Registering these purchases with different platforms. Making financial transactions at different times of the day to avoid being caught.

Thus, all the options are correct.

Learn more about 'structuring' here:

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BRAINLEST!!! PLEASE HELP ME WITH THIS QUESTION AND IF IT'S CORRECT I WILL DEFINITELY GIVE YOU THE BRAINLEST!!!

Answers

Answer:

327.6

Step-by-step explanation:

280x1.17 to find the amount of euros you will get

280x1.17=327.6

Can someone please help me, this is for summer school and I need fast replies, I have 29 other question like these, please help.​

Answers

[tex]\implies {\blue {\boxed {\boxed {\purple {\sf { \: A. \:- 8 {v}^{4} + 3 {v}^{3} + v + 5}}}}}}[/tex]

[tex]\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\red{:}}}}}[/tex]

[tex](4 + 6v + 3 {v}^{3} ) - (5v + 8 {v}^{4} - 1)[/tex]

➼[tex] \: 4 + 6v + 3 {v}^{3} - 5v - 8 {v}^{4} + 1[/tex]

Combining like terms, we have

➼[tex] \: - 8 {v}^{4} + 3 {v}^{3} + 6v - 5v + 4 + 1[/tex]

➼[tex] \: - 8 {v}^{4} + 3 {v}^{3} + v + 5[/tex]

[tex]\large\mathfrak{{\pmb{\underline{\orange{Mystique35 }}{\orange{❦}}}}}[/tex]

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