Given the functions f(n) = 500 and g(n) = (nine tenths)n − 1, combine them to create a geometric sequence, an, and solve for the 11th term.

Answers

Answer 1

Answer:

[tex]A(n) = 500 * (\frac{9}{10})^{n-1[/tex]

[tex]A(11) = 174.34[/tex]

Step-by-step explanation:

Given

[tex]f(n) = 500[/tex]

[tex]g(n) = (\frac{9}{10})^{n-1[/tex]

Represent the combination of f(n) and g(n) with A(n)

So, we have:

[tex]A(n) = f(n) * g(n)[/tex]

This gives:

[tex]A(n) = 500 * (\frac{9}{10})^{n-1[/tex]

To calculate the 11th term, we make use of n = 11

[tex]A(11) = 500 * (\frac{9}{10})^{11-1[/tex]

[tex]A(11) = 500 * (\frac{9}{10})^{10[/tex]

This gives:

[tex]A(11) = 500 * (0.9)^{10}[/tex]

[tex]A(11) = 500 * 0.3486784401[/tex]

[tex]A(11) = 174.33922005[/tex]

Approximate to 2 dp

[tex]A(11) = 174.34[/tex]


Related Questions

plz help me I only have 5 minutes left winner gets brainliest

Answers

Answer is number three

HELPPP please!!! need answer fast, very confused

Answers

Answer:

I think D

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

Its d

Find the value of x in the isosceles triangle shown below.
V74
V74

Answers

Answer:

C. x = 10

Step-by-step explanation:

By Pythagoras Theorem:

[tex] \bigg( \frac{x}{2} \bigg)^{2} = {( \sqrt{74} )}^{2} - {7}^{2} \\ \\ \frac{ {x}^{2} }{4} = 74 - 49 \\ \\ \frac{ {x}^{2} }{4} = 25 \\ \\ {x}^{2} = 25 \times 4 \\ \\ {x}^{2} = 100 \\ \\ x = \sqrt{100} \\ \\ x = 10[/tex]

Answer:

C. x = 10

Step-by-step explanation:

Use Pythagorean theorem.

(x/2)² = (√74)² - 7²(x/2)² = 25x/2 = √25x/2 = 5x = 10

Correct choice is C

The ratio of squirrels to pigeons in the park is 15 to 125. Which statement describes this relationship?

Answers

Answer: A. There are 3 squirrels for every 25 pigeons in the park

Step-by-step explanation:

The options include:

A) There are 3 squirrels for every 25 pigeons in the park.

B) There are 3 squirrels for every 5 pigeons in the park.

C) There are 5 squirrels for every 3 pigeons in the park.

D) There are 25 squirrels for every 3 pigeons in the park.

Since the ratio of squirrels to pigeons in the park is 15 to 125. The common factor we have here is 5. We can then divide the figures given by 5. This will be:

= 15/125 = (15/5)/(125/5) = 3/25

This mean that for every 3 squirrels, there are 25 pigeons in the park.

Therefore, the correct answer is A.

Will give Brainliest, A car wash has a weekly ad in the local newspaper that is 2 inches wide and 4 inches high and costs $36.75 per week. The cost of each ad is based on its area. If the owner of the car wash decides to double the width and height of the ad, how much will the new ad cost?

Answers

Answer:

4+2+$36.75= $42.75

Step-by-step explanation:

4+2+36.75

6+36.75

42.75

Alternative Form

171/4,42 3/4

Answer:

4+2+$36.75=$42.75.

Step-by-step explanation:

6+36.75=42.75

Samuel needs 233 feet of wood to build a fence.The wood comes in lengths of 11 feet. How many prices will samuel need to buy?

Answers

Answer:

21 pieces

Step-by-step explanation:

Given that,

Length of wood needed = 233 feet

The wood comes in lengths of 11 feet.

We need to find the number of pieces samuel need to buy. It can be done as follows :

Let he needed x peices. So

[tex]x=\dfrac{233}{11}\\\\x=21.18\\\\or\\\\x=21[/tex]

So, he will need approx 21 peices.

These marbles are placed in a bag and two
of them are randomly drawn.
What is the probability of drawing two
yellow marbles if the first one is placed back
in the bag before the second draw?

Answers

Answer:

2/10 * 2/10 = 1/25

Step-by-step explanation:

Suppose you have 10 marbles in a bag. 5 black , 2 pink and 3 blue

As if two pink marbles are selected then for one pink marble probability = event occurred / total outcome = 2/10

Similar probability for an other pink marbles Probability for the drawing two pink marbles is P = 2/10 * 2/10  = 1/25

PLEASE HELP...!!!!!!!!!!

Answers

Answer:

5 and 10

Step-by-step explanation:  

You have all the information you need to find the area of the circle and then subtracting that from 77 you'll have the area of the rectangle and will be able to figure out the length and height by looking at the answer options.

So the area of a triangle is 1/2(b x h) or (b x h)/2 so the base is 6 and the height is 9 so the area is 54/2 which equals 27. 77 - 27 = 50 so the area of the rectangle is 50. With the answer options provided I can see that the height of the rectangle is 5 and the length is 10.

What is the sum of the interior angles of a regular polygon with 42 sides?

Answers

Answer:

42

Step-by-step explanation:

A regular polygon with 42 sides where the length of each side is 2 units. The units may either be inches or cm or km or miles: any unit of length.

You are given a Regular Polygon with 42 sides. What are the interior angles and exterior angles?

If the length of each side is 2 units, what is the perimeter, area, circum-radius and in-radius of the polygon?

n = 42

Perimeter of a polygon with 42 sides = (side length) x 42 = 84 units

Area of a polygon with 42 sides = (n x Side2 x cot (Π/n))/4 = (n x 22 x cot (Π/42))/4 = 560.45 square units

Sum of the interior angles of a polygon with 42 sides =  (n-2) x 180 degrees =  (42-2) x 180 degrees = 7200 degrees

Interior Angle of a polygon with 42 sides = (n-2) x 180/n degrees = (42-2) x 180/42 degrees = 171.42 degrees

Exterior angle of a polygon with 42 sides = 180 - Interior Angle = 180 - 171.42 = 8.57 degrees

Inradius = Radius of In-circle = (side length) x cot (Π/42) = 2 x cot 4 = 26.68 units

Circumradius = Radius of Circum-circle = (side length) x cosec (Π/42) = 2 x cosec 4 degrees = 26.76 units

Symmetry Group = D42  42 rotational symmetries and 42 reflection symmetries. The "D" stands for di-hedral.

State the Postulate or Theorem

Answers

Answer:

7. Corresponding Angles Theorem

8. Alternate Interior Angles Theorem

9. Alternate Exterior Angles Theorem

10. Supplementary Angles Theorem

Step-by-step explanation:

If one guppy requires 5L of water to live happily, what is the maximum number of gubbies that should be kept in his aquafrium

Answers

What is the Aquarium size????? If it’s 5L it should be only 1 guppie

Evaluate the expression 3(2x - 8) /7x when x= -3

Answers

Answer:

2

Step-by-step explanation:

..............

slove the evolution 10-i=3​

Answers

Answer:

ans 7

Step-by-step explanation:

given

10_i=3

10_i_3=0

7=i

i=7

Reparte 280 euros entre 3 personas, de forma que la 1º reciba el triple que la 2º y esta el doble de la3º

Answers

Answer:

x = 31.11

Step-by-step explanation:

Let us assume the third person receives be  x

Now the second person receives be 2x

And, the second  be 3(2x) = 6x

The total is 280

Now the equation is

x + 2x + 6x = 280

9x = 280

x = 31.11

-10.7
as a mixed number in simplest form

Answers

Answer:

−10 7/10

Step-by-step explanation:

Daytime high temperatures in New York in February are normally distributed with an average of 30.2º and a standard deviation of 8.5º. Estimate the probability that the temperature on a given day in February is 39º or higher.Daytime high temperatures in New York in February are normally distributed with an average of 30.2º and a standard deviation of 8.5º. Estimate the probability that the temperature on a given day in February is 39º or higher.

Answers

Answer: D. 0.16

.

.

EDG 2021

Round your answer to the nearest hundredth if necessary. A figure is shown. 8X 44.49 What is the measure, in degrees, of the shaded angle?​

Answers

You can download answer here

tinyurl.com/wpazsebu

PLEASE HELP DUE AT MIDNIGHT

Answers

Answer:

268.1

Step-by-step explanation:

Area of Sphere =

[tex] \frac{4}{3} \pi {r}^{3} \\ = \frac{4}{3} \pi {4}^{3} \\ = 268.1 {units}^{3} (nearest \: tenth)[/tex]

12
11
10
9
8
4
3
-12-11-10 -9 -8 -7 -6 -5 -4 -3 -2 -1
1 2 3 4 5 6 7 8 9 10 11 12
-2
-3
-4
-5
-6
-7
-8
-9
-10
-11
-12

Answers

Answer:

You didn't say what the question was

Answer: 3

Step-by-step explanation:

12 workers can do a peice of work in 20 days. How many workers should be added to complete work in 16 days?​

Answers

3 workers

if 12 workers can do a piece of work in 20 days, then one person can do it in 240 days. 240/16 is 15. That is the number of workers that you need in total to it in 16 days. Since the question ask how many more workers,
15 - 12 = 3 more workers.

Determine the y intercept

Answers

Answer:

y intercept is 4

Step-by-step explanation:

Which of these is a unit of density?
Please help.

Answers

Answer:

I think is C.

Step-by-step explanation:

Hope it's help you ❤️❤️❤️❤️❤️❤️❤️

C

SI unit of density
= kilogram per cubic meter

Type in the missing terms in this sequence of square numbers.
1, 4, 9,
, 25, 36,
, 64, 81, 100,
, 144

Answers

Answer:

16, 49, 121

Step-by-step explanation:

Help me with this!!!

Answers

Answer:

15

Step-by-step explanation:

Answer:

TW= 15

Step-by-step explanation:

If UV ≈ VW it means the two triangles shown are congruent (or equal).

So if they are equal it means TU will equal TW.

TU = 15 = TW

Use substitution to solve the following system of equations.
x + 4y = 8
2x - 5y = 29
I

Answers

Answer:

(12, - 1 )

Step-by-step explanation:

Given the 2 equations

x + 4y = 8 → (1)

2x - 5y = 29 → (2)

Rearrange (1), expressing x in terms of y by subtracting 4y from both sides

x = 8 - 4y → (3)

Substitute x = 8 - 4y into (2)

2(8 - 4y) - 5y = 29 ← distribute and simplify left side

16 - 8y - 5y = 29

16 - 13y = 29 ( subtract 16 from both sides )

- 13y = 13 ( divide both sides by - 13 )

y = - 1

Substitute y = - 1 into (3) for corresponding value of x

x = 8 - 4(- 1) = 8 + 4 = 12

solution is (12, - 1 )

[tex]x = 8 - 4y \: \: eqn \: 1[/tex]

now in eqn 2

[tex]2(8 - 4y) - 5y = 29[/tex]

[tex]16 - 8y - 5y = 29[/tex]

[tex]16 - 13y = 29[/tex]

[tex]16 - 29 = 13y[/tex]

[tex]13 = 13y[/tex]

[tex] \frac{13}{13} = y[/tex]

[tex]y = 1[/tex]

Now in eqn 1

[tex]x = 8 - 4y[/tex]

[tex]x = 8 - 4 \times 1[/tex]

[tex]x = 8 - 4[/tex]

[tex]x = 4[/tex]

therefore x=4 & y=1 answer

A child has a box of colored building blocks. He will choose one block without looking. The odds against choosing a blue block are 13/4. What is the probability of choosing a blue block?

Answers

Answer:

The answer is "0.2352".

Step-by-step explanation:

Given:

The chance of selecting a odds blue block [tex]= \frac{13}{4}[/tex]

[tex]=\frac{\text{Amount of unfavourable blue block evets} \ (13)}{\text{Amount of unfavourable blue block evets} \ (4)}[/tex]

total number of events are 13+4= 17

Calculating the probability of choosing the blue block  

[tex]=\frac{\text{Amount of unfavourable blue block evets} }{\text{Amount of unfavourable blue block evets} } \\\\ = \frac{4}{17} \\\\ =0.2352[/tex]

(10pts) find all the solutions to the equations.

Answers

all of your solution is right
I think they are all correct

A store purchased jeans for $15 a pair. The store
increased the price of the jeans by 65%. One month
later, the jeans were on sale for- off the store price.
How much would a customer pay for the jeans on
sale?

Answers

10$ i think sorry if it’s wrong

What is the volume of this composite solid?
4 m
6 m
10 m
6 m
O A. 372 cubic meters
B. 144 cubic meters
Ο Ο Ο Ο
O C. 600 cubic meters
D. 480 cubic meters

Answers

D. 480 cubic meters. Using the volume formula LxWxH we can find the volume of the rectangular prism on the bottom. Using the triangle area formula, we know the face of the triangle has an area of 12. Multiply this twelve by 10 and you get 120. 120+360 = 480

Answer:

its D. 480 cubic meters for Ape.x

Step-by-step explanation:

Alyssa is going to invest in an account paying an interest rate of 4.3% compounded daily. How much would Alyssa need to invest, to the nearest dollar, for the value of the account to reach $330 in 17 years?

Answers

Answer:

159

Step-by-step explanation:

158.877856673=P

round:

P=159

Answer:

159  

Step-by-step explanation:

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