Mohamed decided to track the number of leaves on the tree in his back yard each year. This year there were 500 leaves. Each year after the number of leaves was 40% more than the year before. Let f(n) be the number of leaves on the tree in mohameds back yard in the nth year since he started tracking it. F is a sequence was kind of sequence is it?

Answers

Answer 1

Answer:

Geometric sequence

Step-by-step explanation:

According to the scenario, computation of the given data are as follows:

Leaves on tree this year (a) = 500

Rate of increase in leaves per year (r) = 40 % or 0.4

Let n be the number of years.

So we use exponential growth formula, i.e.

f(n) = a(1+r)^n

by putting the value, we get

f(n) = 500 ( 1+0.4)^n

or f(n) = 500 (1.4)^n

So, the common ration is 1.4.

Thus, it shows a geometric sequence.


Related Questions

1.2 x 10^-6/4.8 x 10^4 simplified

Answers

Answer:

this would be b

Step-by-step explanation:

solve 2(x+9)=14 and 2(x-7)=-18

Answers

The answer for both is x=-2

What is the correct meaning of the word saturate?
Saturate the dog's fur with water, and then apply the pet shampoo.
wet through
spray down
rub in
rinse out

Answers

Wet through because in the definition it says throughly

What is the value of x in this equation?

2x – 12 = -52

Answers

Answer:

x = -20

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Equality Properties

Multiplication Property of Equality Division Property of Equality Addition Property of Equality Subtract Property of Equality

Step-by-step explanation:

Step 1: Define

2x - 12 = -52

Step 2: Solve for x

Add 12 on both sides:                     2x = -40Divide 2 on both sides:                   x = -20

Step 3: Check

Plug in x into the original equation to verify it's a solution.

Substitute in x:                      2(-20) - 12 = -52Multiply:                                 -40 - 12 = -52Subtract:                                -52 = -52

Here we see that -52 does indeed equal -52.

∴ x = -20 is the solution to the equation.

Answer:

[tex]2x - 12 = - 52 \\ 2x = - 52 + 12 \\ 2x = - 40 \\ \boxed{x = - 20}[/tex]

-20 is the right answer.

29/6
Write as a mixed number

Answers

Answer:

4 5/6

Step-by-step explanation:

This would be the answer as a mixed number

Answer:

4 5/6

Step-by-step explanation:

6x4=24

24+5+29

The value of y varies directly with x. If x = 5 when y = 12, what is the value of x when y = 30?

Answers

Answer:

12.5

Step-by-step explanation:

y= kx

k= y/x

x= 5, y= 12

k = 12/5

Therefore the value of x when y is 30 can be calculated as follows

y = kx

30= 12/5x

x= 30÷12/5

x= 30× 5/12

x= 150/12

x= 12.5

Help plsssssss and thank you

Answers

Answer:

4 is c

5 is b

6 is 11 and 71

7 is 27.5 and 84.25

On what interval is the function positive?

Answers

Answer: (-∞,2)

Step-by-step explanation: 2 is not included in the interval since at x=2, the function crosses the x axis, meaning it is not positive, and instead 0.

All x values below 2 are positive.

which angles are coterminal with 3pi/2 ​

Answers

Answer:

the answer is 270 degrees

Step-by-step explanation:

can you help me on my question?

Solve this two step equation.
4x + 3 = 11
please help

Answers

Answer:

x = 2

Step-by-step explanation:

First subtract 3 from both sides

4x = 8

Next divide 8 by the opposite side

x = 2

Please mark as brainliest

Answer:

The answer is x = 2.

Step-by-step explanation:

Move all terms that don't contain  "x"  to the right side and solve.

Hoped this helped!

Farmer Jake harvested 2,500 pounds of carrots this fall. He sold them out of the back of
his truck and brought home only 250 pounds after a full day of selling. What is the
percent decrease in the number of carrots farmer Jake has left?

Answers

Answer:

10%

Step-by-step explanation:

What is the mass of 65 cm3 of water? The density of water is 1.00 g/cm3. (THE TEACHER JUST ASKED ME THIS ANSWER QUICK PLS LOL)

Answers

If the density is 1 per cm^3 and there is 65 cm^3 then the mass is 65g

Ms. Molinaro pays $105 for 10 Barre classes. What is the cost per class?

Answers

Answer:

$10.50 for each class

Step-by-step explanation:

105 % 10 = 10.5

105/10 = $10.5 per class

Which associations best describe the scatter plot?
Select each correct answer.
D Positive association
D Nonlinear association
D Negative association
O Linear association

Answers

negative association i think is the correct answer

Determine if the relation is a function if so state the domain and range​

Answers

Answer:

Function - Yes

Domain - [-3,0,3,4]

Range - [1,2,2,5]

Step-by-step explanation:

In a function, x-values cannot repeat and in this relation, x's do not repeat, therefore it is a function. The domain is the x-values on the graph from least to greatest; so to find the domain, simply take the first value of each coordinate and order them from least to greatest. Then, the range is the y-values, so to find the range take the second value from each coordinate and order them from least to greatest.

The ________________________________ is the intersection of the three angle bisectors in a triangle.

Group of answer choices

Circumcenter

Incenter

Centroid

Orthocenter

Answers

Answer:

Circumcenter

Step-by-step explanation:

The three perpendicular bisectors of the sides of a triangle meet in a single point, called the circumcenter . A point where three or more lines intersect is called a point of concurrency. So, the circumcenter is the point of concurrency of perpendicular bisectors of a triangle.

Ace C.a.r.l.o.s. -The Kid Laroi

Omar is going to an amusement park for his birthday party. It costs $30 for the first person's ticket, plus $5 for each additional ticket. If the budget for his party is $125 how many friends could he invite?​

Answers

Answer:

he could invite 19 friends

Step-by-step explanation:

125 (buget) - 30 (cost for 1st ticket) = 95

95/5 = 19

What is the solution to the system of equations?

18x + 15 – y = 0
5y = 90x + 12

Answers

Answer:

No solution

Step-by-step explanation:

Answer:

no solution

Step-by-step explanation:

what is 4/7- 2/7 i rlly need help!

Answers

Answer:

2/7

Step-by-step explanation:

4-2=2

4/7 - 2/7 = 2/7

the denominators are the same so just change the numerators

Answer:

2/7

Step-by-step explanation:

[tex] \frac{4}{7} - \frac{2}{7} = \frac{2}{7} [/tex]

if the bottom numbers are the same you can subtract the top numbers like normal

What is the volume of a cone that has a diameter of 18 centimeters and a height of 12 centimeters?

Answers

Step-by-step explanation:

❀ [tex] \underline{ \underline{ \text{Given}}} : [/tex]

Diameter of a cone ( d ) = 18 cm Height of a cone ( h ) = 12 cmRadius of a cone ( r ) = [tex] \sf{ \frac{18}{2} = 9 \: cm}[/tex]

❀ [tex] \underline{ \underline{ \text{To \: find}}} : [/tex]

Volume of a cone ( V )

✏ [tex] \underline{ \underline{ \text{Solution}}} : [/tex]

[tex] \boxed{ \sf{Volume \: of \: a \: cone = \pi \: {r}^{2} \: \frac{h}{3}}} [/tex]

Plug the values and then multiply !

→ [tex] \tt{ \frac{22}{7} \times {9}^{2} \times \frac{12}{3}} [/tex]

→ [tex] \tt{3.14 \times 81 \times 4}[/tex]

→ [tex] \tt{1017.36 \: {cm}^{3}} [/tex]

[tex] \pink{ \boxed{ \boxed{ \tt{Our \: final \: answer : 1017.36 \: {cm}^{3}}}} }[/tex]

Hope I helped ! ツ

Have a wonderful day / night ! ♡

▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁

someone help me, please

Answers

Answer:

Its A. g = 11

Step-by-step explanation:

Follow PEMDAS (Parantheses, exponents, multiplication, division, addition, and subtraction)

(g = 11 - 9 = 2)

7(2) = 14

14 + 12 = 26

I hope this helps u! :D

9514 1404 393

Answer:

  (A)  g = 11

Step-by-step explanation:

We can find out by undoing what is done to g.

  26 = 7(g -9) +12

  14 = 7(g -9) . . . . . . . . subtract 12

  2 = g -9 . . . . . . . . . divide by 7

  11 = g . . . . . . . . . . add 9

The value of g that makes the equation true is g = 11.

Write your answer in the form of (Yes or No because it has ___ml more or less) *

Answers

One large bottle has more

Anyone help? don’t understand this question?

Answers

Answer:

Step-by-step explanation:

Let the fraction is "x"

hence putt in box we get,

1-x=3/7

x=1-3/7

taking LCM

x=7-3/7

x=4/7 Ans....

Answer:

The fraction which goes in that box is 3/7.

A child lets go of a balloon that rises at a constant rate. 5 seconds after it was released, the balloon is at a height of 16 feet above the ground. After 20 seconds of rising, it is at a height of 52 feet above the ground. 1. Write a linear model for the height, h, of the balloon as a function of the number of seconds, s that it has been raising. 2. What was the height of the balloon initially before the child let it go? 3. Use your model to predict the height of the balloon after 90 seconds. Only an algebraic solution will receive credit.

Answers

Answer:

1. h = 2.4t + 4

2. 4 feet

3. 220 feet

Step-by-step explanation:

1. Write a linear model for the height, h, of the balloon as a function of the number of seconds, s that it has been raising.

Since the balloon rises at a constant rate, we find this rate by using the initial and final values of height and time at 5 seconds and 20 seconds respectively which are 12 feet and 52 feet respectively.

So, rate = gradient of line

= change in height/change  in time

= (52 ft - 16 ft)/(20 s - 5 s)

= 36 ft/15 s

= 2.4 ft/s

Now the equation of the line which shows the height is gotten from

(h - h')/(t - t') = rate

Using h'= 16 feet and t' = 5 s, we have

(h - 16)/(t - 5) = 2.4

h - 16 = 2.4(t - 5)

h - 16 = 2.4t - 12

h = 2.4t - 12 + 16

h = 2.4t + 4

where h is the height of the balloon above the ground and t is the time spent in the air in seconds.

2. What was the height of the balloon initially before the child let it go?

We obtain the initial height of the balloon before the child let go at time, t = 0 the time before the child let go.

So, substituting t = 0 into the equation for h, we have

h = 2.4t + 4

h = 2.4(0) + 4

h = 0 + 4

h = 4 feet

So, the height of the balloon before the child let go is 4 feet above the ground.

3. Use your model to predict the height of the balloon after 90 seconds.

We insert t = 90 s into the equation for h. So,

h = 2.4t + 4

h = 2.4(90) + 4

h = 216 + 4

h = 220 feet

So, the height of the balloon after 90 s is 220 feet above the ground.

Please can you do these asap I will be very thankful

Answers

Answer:

Step-by-step explanation:  adding & subtraction section,

a)1/3  b)2/5 c)3/4 d)-3/10 e)19/12 f)35/36  g)7/6 h) 7/3  i)25/24   j) 1 (7/10)

k) 1  (35/36)      l) 0

What is the value of the expression 0.5 ( 3 x + 2 y ) when x = 2 and y = 4?

Answers

Answer:14 .5

Step-by-step explanation:

3x2 is 6 and 4x2 is 8 so it would be 14a and a half aka 14.5

Answer:

7

Step-by-step explanation:

0.5 *( 3 (2) + 2 (4) )

        (6+8)

0.5*(6+8)

0.5*14

7

nine and twenty five thousands as decimal form​

Answers

Answer:

9.025

Step-by-step explanation:

9+25*0.001

9+0.025

9.025

Bernice monthly paycheck can be represented by p(d) = 21od + 1100. She also earns money babysitting which can be represented by b(d) = 36d + 100. In both functions, d represents the number of weekdays. Write a function, t(d) , that represents Bernice's total monthly income.

Answers

Answer:

t(d) = 246d + 1200

Step-by-step explanation:

t(d) = p(d) + b(d)

Where,

t(d) = Bernice's total monthly income

p(d) = monthly paycheck

b(d) = babysitting earnings

d = number of weekdays

p(d) = 210d + 1100

b(d) = 36d + 100

t(d) = p(d) + b(d)

= (210d + 1100) + (36d + 100)

= 210d + 1100 + 36d + 100

= 246d + 1200

t(d) = 246d + 1200

x squared = 49 what does x equal

Answers

Answer:

x = 7

x = -7

Explanation:

x² = 49

[tex]\bold{\mathrm{For\:}x^2=f\left(a\right)\mathrm{\:the\:solutions\:are\:}x=\sqrt{f\left(a\right)},\:\:-\sqrt{f\left(a\right)}}[/tex]

[tex]\bold{x=\sqrt{49},\:x=-\sqrt{49}}[/tex]

√49 = 7

-√49 = -7

x = 7, x = -7

Answer:[tex]\boxed{\boxed{\sf~x=7,-7}}[/tex]Solution Steps:

______________________________

1.) Take the square root of both sides of the equation:[tex]\sqrt{x}=x[/tex][tex]\sqrt{49}=7[/tex]

______________________________

1500, 4.25%, 4years
help please

Answers

Answer:

255

Step-by-step explanation:

1500*.0425*4 = 255

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