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]
Reparte 280 euros entre 3 personas, de forma que la 1º reciba el triple que la 2º y esta el doble de la3º
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
HELPPP please!!! need answer fast, very confused
Answer:
I think D
Step-by-step explanation:
Answer:
D
Step-by-step explanation:
Its d
PLEASE HELP DUE AT MIDNIGHT
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]
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?
You can download answer here
tinyurl.com/wpazsebu
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
Answer:
You didn't say what the question was
Answer: 3
Step-by-step explanation:
State the Postulate or Theorem
Answer:
7. Corresponding Angles Theorem
8. Alternate Interior Angles Theorem
9. Alternate Exterior Angles Theorem
10. Supplementary Angles Theorem
Step-by-step explanation:
PLEASE HELP...!!!!!!!!!!
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?
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.
Evaluate the expression 3(2x - 8) /7x when x= -3
Answer:
2
Step-by-step explanation:
..............
slove the evolution 10-i=3
Answer:
ans 7
Step-by-step explanation:
given
10_i=3
10_i_3=0
7=i
i=7
Which of these is a unit of density?
Please help.
Answer:
I think is C.
Step-by-step explanation:
Hope it's help you ❤️❤️❤️❤️❤️❤️❤️
Use substitution to solve the following system of equations.
x + 4y = 8
2x - 5y = 29
I
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 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?
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.
Answer: D. 0.16
.
.
EDG 2021
The ratio of squirrels to pigeons in the park is 15 to 125. Which statement describes this relationship?
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.
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?
Answer:
159
Step-by-step explanation:
158.877856673=P
round:
P=159
Answer:
159
Step-by-step explanation:
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?
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.
Type in the missing terms in this sequence of square numbers.
1, 4, 9,
, 25, 36,
, 64, 81, 100,
, 144
Answer:
16, 49, 121
Step-by-step explanation:
-10.7
as a mixed number in simplest form
Answer:
−10 7/10
Step-by-step explanation:
(10pts) find all the solutions to the equations.
Help me with this!!!
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
plz help me I only have 5 minutes left winner gets brainliest
Determine the y intercept
Answer:
y intercept is 4
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
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
Answer:
its D. 480 cubic meters for Ape.x
Step-by-step explanation:
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?
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
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?
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]
12 workers can do a peice of work in 20 days. How many workers should be added to complete work in 16 days?
Find the value of x in the isosceles triangle shown below.
V74
V74
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 = 10Step-by-step explanation:
Use Pythagorean theorem.
(x/2)² = (√74)² - 7²(x/2)² = 25x/2 = √25x/2 = 5x = 10Correct choice is C
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?
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