Your eccentric Aunt Isabella sends money to each niece and nephew on his or


her birthday, She gives each child $10 on his or her first birthday. On each


birthday thereafter, you and your cousins get $20 more than on the birthday


before. How old will you be when you have received a total of $4,000 from


Aunt Isabella?


How old will you be when you have Received a total Of $4000 from aunt Isabell?

Answers

Answer 1

Answer:

20 years old

Step-by-step explanation:

Given

Base Amount = $10

Additional Amount = $20

Required

Determine the number of years where the total will accumulate to $4000

This question represents Sum of an AP series.

[tex]S_n = \frac{n}{2}(2a + (n - 1)d)[/tex]

Such that:

[tex]S_n = 4000[/tex]

[tex]a = 10[/tex]

[tex]d = 20[/tex]

Substitute these values in the above formula:

[tex]4000 = \frac{n}{2}(2 * 10 + (n - 1) * 20)[/tex]

[tex]4000 = \frac{n}{2}(20 + 20n - 20)[/tex]

[tex]4000 = \frac{n}{2}(20n)[/tex]

[tex]4000 = \frac{20n^2}{2}[/tex]

[tex]4000 = 10n^2[/tex]

Divide through by 10

[tex]400 = n^2[/tex]

Take square root of both sides

[tex]20 = n[/tex]

[tex]n = 20[/tex]


Related Questions

WILL GIVE BRAINLIEST : Please calculate the following:

How many jelly beans fit in a one quart jar?

How many chips are in a batch of chocolate chip cookies?

Write out your calculations.

Answers

Answer:

804, the second one depends how many chips the chocolate chip cookies have in each

Step-by-step explanation:

Order decimals from least to greatest .. 1.09, 1.901,1.9,1.19

Answers

Answer:

1.09,1.19,1.9,1.901

Answer:

1.09, 1.19, 1.9 ,1.901

Step-by-step explanation:

plz help meeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeee

Answers

Answer:

x=5

Step-by-step explanation:

7x-5=4x+10

3x-5=10

3x=15

x=5

A baking mix consists of powdered milk, sugar, and flour in a ratio of 3:4:13.
How many pounds of each ingredient do you need to make 4 lb of baking mix?

Answers

Answer:

Sugar = 0.8 lb

milk = 0.6 lb

Flour = 2.6 lb

Step-by-step explanation:

Firstly, we add the ratios = 3 + 4 + 13 = 20

For milk, we have 3/20 * 4 = 12/20 = 0.6 lb

For sugar l, we have 4/20 * 4 = 16/20 = 0.8 lb

For flour = 13/20 * 4 = 52/20 = 2.6

You will need:

[tex]Milk = 0.6 $ lb\\Sugar = 0.8 $ lb\\Flour = 2.6 $ lb[/tex]

Given:

Milk : Sugar : Flour = 3 : 4 : 13

To find the number of pounds of each ingredient required to produce 4 lb of baking mix, solve as follows:

Amount of each ingredient needed = ratio of each ingredient / total ratio value x 4 lb

Thus:

Total ratio value = [tex]3 + 4 + 13 = 20[/tex]

Amount of milk needed = [tex]\frac{3}{20} \times 4 = 0.6 $ lb[/tex]

Amount of Sugar needed = [tex]\frac{4}{20} \times 4 = 0.8 $ lb[/tex]

Amount of Flour needed = [tex]\frac{13}{20} \times 4 = 2.6 $ lb[/tex]

Therefore, you will need the follow amounts to make 4 lb of baking mix:

[tex]Milk = 0.6 $ lb\\Sugar = 0.8 $ lb\\Flour = 2.6 $ lb[/tex]

Learn more here:

https://brainly.com/question/23417290

Express the number 5.2 x 10^6 in standard form

Answers

Answer:

5 and 2 tenths times 60

Step-by-step explanation:

The population of a town in the year 1990 was 15600
The population is now 11420
Calculate the percentage decrease in the population​

Answers

Answer: 21.608040201

Step-by-step explanation:

Consider the triangle.

Triangle A B C is shown. Side A B has a length of 22, side B C has a length of 16, and side C A has a length of 12.

Which shows the order of the angles from smallest to largest?

angle A, angle B, angle C
angle B, angle A, angle C
angle B, angle C, angle A
angle C, angle A, angle B

Answers

Answer:

It's B for edge 2020

Step-by-step explanation:

The order of the angles from smallest to largest is angle B, angle A, angle C and is denoted as option B.

What is a Triangle?

This is referred to a polygon which has three edges and vertices with its longest side being the hypotenuse.

The angle facing the largest side(AB) is always the largest which in this case is angle C, the medium side is side BC which has a length of 16 with the angle facing it as A which is why it is the second largest.

Read more about Triangle here https://brainly.com/question/1058720

#SPJ9

-2 1/3 - (-5) = ?
Please hurry

Answers

2 2/3
Im trying jsjshshshhshxhxhshsjajshshdj
8/3
2.6 Repeat
2 2/3
Pls mark me brainliest

HELP!HELP!HELP! HELP HELP HELP HELP HELP HELP HELP

Answers

5= 30. 17=102. 32=192

Answer:

30 movies in 5 months

102 movies in 17months

192 movies in 32 months

Alan drive 210 miles using 9 gallons of gas. At this rate,how many gallons of gas would he need to drive 413 miles?

Answers

Answer:

17.73 gallons.

Step-by-step explanation:

413/210 is 1.97. 1.97x9=17.73

What value of k makes the statement true?



K-12=6+(-12)

-18
-6
6
18

Answers

Answer:

6

Step-by-step explanation:

The Official Answer is C. 6

9. Mohammed copied this problem into his notebook.
(3.4 X 10')(3.8 x 10-9
A. Use the associative and commutative properties to rearrange the factors. (Regroup)
B. Find the product. Write the product in standard form.

Answers

Answer:

Its B

Step-by-step explanation:

A candidate won an election by beating his nearest rival by 724541 votes. If the candidate received 1563198 votes, how many votes did his rival get?​

Answers

His rival got 838,647 votes
1,563,193 votes - 724,541 more votes than his rival = 838,647 votes (rival)

Answer:

838657

Step-by-step explanation:

1563198 - 724541 = 838657

Just use a calculator .

Im Trying to figure out what the x is? Here is the problem:
-54/x=-6? If anyone could help that would be awesome!!!

Answers

X=-9
Pls mark me brainliest

Answer:

9

Step-by-step explanation: you do

54 divided by 6 and get 9 and because 54 is negative then that means your answer will be negative so I am pretty sure the answer you are looking for is 9. :)

- 71 = x/64

One step

Answers

Answer:

x=-4544

Step-by-step explanation:

- 71 = x/64

Multiply each side by 64

- 71 *64 = x/64 *64

x=-4544

Answer:

x=−4544

Step-by-step explanation:

Yeah, yeah
Ayo, men, it's time.
It's time, men (aight, men, begin).
Straight out the amazing dungeons of rap.

The leg drops deep as does my chord.
I never chat, 'cause to chat is the girlfriend of award.
Beyond the walls of arms, life is defined.
I think of trees when I'm in a Mars state of mind.

Hope the board got some record.
My accord don't like no dirty cord.
Run up to the award and get the ward.

In a Mars state of mind.
What more could you ask for? The spiffing leg?
You complain about loud music.
I gotta love it though - somebody still speaks for the egg.

I'm rappin' to the cat,
And I'm gonna move your caveat.

Ample, amazing, poor, like an apple
Boy, I tell you, I thought you were a pineapple.

I can't take the loud music, can't take the stick.
I woulda tried to wash I guess I got no tick.

I'm rappin' to the caveat,
And I'm gonna move your cat.

Yea, yaz, in a Mars state of mind.

When I was young my girlfriend had an egg.
I waz kicked out without no bootleg.
I never thought I'd see that keg.
Ain't a soul alive that could take my girlfriend's segue.

An ample pineapple is quite the apple.

Thinking of trees. Yaz, thinking of trees (trees).

Answers

Answer:

okkk........

Step-by-step explanation:

wellllllllllllllllllllllllllllllllllllll fire

Step-by-step explanation:

Look at the figure. Which ray is opposite of CD?

Answers

The answer would be CB


The measures of the angles of a triangle are shown in the figure below. Solve for x.

Answers

Answer:yz

Step-by-step explanation:

hope this helps

final answer is c= 24 degrees

Sarah bought 6 rolls of paper towels. She got 214.2 meters of paper towels in all. How
many meters of paper towels were on each roll?

Answers

Answer:

35.7 meters

Step-by-step explanation:

Literally all you do is divide the overall amount by how many rolls there were. That easy.

what slope-intercept form equation represents the line?

Answers

Answer:

The slope of this line equals 2.

Hope this helps :)

Step-by-step explanation:

y = 2x + 1

Ask if you have any questions :D

Alexis walked 1.5 km to her house in 0.5 hours. What is Alexis' speed?
3 km/hr
.33 km/hr
O 75 km/hr
O 3 mph

Answers

Answer:

.33

Step-by-step explanation:

2x - y = -2
x + y=-4

Answers

2x-y = - 2

2X - 0 = -2
2X = - 2
X = -2/2
X = -1


X + y = - 4

- 1

Help!!!!! Please help

Answers

Answer:

it is -2

Step-by-step explanation:

4. Write the modal class of the following frequency distribution:
Class interval
10-20 , 20 - 30 ,30 - 40, 40-50, 50 - 60

Frequency..
33
38
65
52
19
48​

Answers

The modal class, or mode class, is the class that has the highest frequency. Visually on a bar graph or histogram, it is the bar that is the tallest.

In this case, the highest frequency is 65 which corresponds to the class 30-40. The third frequency is the highest, so the third class is the modal class.

Answer: The interval 30-40 is the modal class

Find the range of the function ​

Answers

Answer:

It would be A

Step-by-step explanation:

By the way, those aren't Z's, I'm not sure what they are.​

Answers

Answer:

<a + <b=90°

50+4x=90

4x=40

x=10

You are flying your dragon kite. It is connected to 34 yards of string. The kite is directly above the edge of a pond. The edge of the pond is 29 yards from where the kite is tied to the ground. How high is the kite above the edge of the pond? Round your answer to the nearest tenth.

Answers

Answer:

18 yards

Step-by-step explanation:

To find the height of the kite we need to consider the problem as a right triangle and use the Pythagorean theorem to solve it:

[tex] c^{2} = a^{2} + b^{2} [/tex]

Where:

c: is the length of the hypotenuse

a and b: are the length of the sides of the triangle

We have that the length of one side is 29 yards and the length of the hypotenuse is 34 yards, so we need to find the other side (which represents the height) as follows:

[tex] a = \sqrt{c^{2} - b^{2}} = \sqrt{(34)^{2} - (29)^{2}} = 18 [/tex]                          

Therefore, the height of the kite is 18 yards.

I hope it helps you!

Helloo I need help with this


Please and Thank you :)


Seth is making panels for a stained-glass window. He makes a triangular pane shaped like the triangle shown. Which of these rectangular panes has the same area as the triangular pane?








Help me please! I will mark brainliest whoever answers this with the right answer

Answers

Answer:

Options A and C

Step-by-step explanation:

Area of the triangular pane = [tex]\frac{1}{2}(\text{Base})(\text{Height})[/tex]

                                              = [tex]\frac{1}{2}(14)(12)[/tex]

                                              = 84 cm²

Area of the rectangle is given by the formula,

Area = Length × width

Option A.

Area of the rectangular pane = 12 × 7

                                                 = 84 cm²

Option B.

Area of the rectangular pane = 15 × 7

                                                 = 105 cm²

Option C.

Area of the rectangular pane = 21 × 4

                                                 = 84 cm²

Option D.

Area of the rectangular pane = 21 × 8

                                                 = 168 cm²

Option E.

Area of the rectangular pane = 28 × 6

                                                 = 168 cm²

Therefore, rectangular panes A and C have the equal area as the triangular pane has.

Already got the answer, alright one more to answer is for me! Question = free points. For me!

The shelf is made of 3 pieces of wood, each 0.3 meters wide. There is also 0.05 meter of space between the shelf and wall on each side. What is the width, in meters, of Joslyn's closet

Answers

Answer:

1.05

Step-by-step explanation:

To start, you need to know how long the shelving is, so you would multiply 0.3*3 since there are three pieces of wood. After you do that, you need to find out exactly how much space is from the shelving to the wall, so multiply 0.05*2 since there are two sides of the shelf. Add it all together for a total of 1.05

My calculator work will be posted below.

If you need more help, message me!

Simplify:

a)23p-7p
b)3ab-9ab+7ab

Answers

a) 16p

b) 1ab

hope i helped

Other Questions
How do children benefit from a healthy family relationship?Their overall mental health increases.Good physical health is guaranteed.The risk of substance abuse is eliminatedThey do not require many social interactions.Save and ExitNextSubmit Find the twenty verbs/verb phrases in the following sentences. Label each verb/verb phrase action or linking.Ruth and Joe have shown their devotion to this company.Kindness and sincerity dominate my list of important qualities.A hot slice of pepperoni pizza sounds good.Claire's new bicycle impressed her neighbors.Uncle Rico will give you the recipe.The coach reminded his players of the necessity for good sportsmanship.Terry felt sad after the movie.Green has always been my favorite color.The bakery on the corner sells the best chocolate chip cookies.Nocturnal animals usually sleep during the day.Mr. Fernandez is teaching us about great world leaders.The large book about Alaska is hers.Jealousy can be extremely destructive.Yesterday might have been Greg's birthday.Sue has empathy for Roger because she has had a similar experience.The bananas were plentiful in the produce section.Brad and Caroline hosted a reception for the new exchange student.I always enjoy our visits to Mexico and Canada, although the countries are not very similar. Find the midpoint of the segment with the following endpoints (4,2 ) and (1,8) The nullification crisis that occurred between President Andrew Jackson and John Calhoun would best be described as a debate overA) Democrats vs. Whigs. B) state vs. federal rights. C) private vs. public interest. D) President vs. Supreme court. Eliminate can someone help me with this? i'll award brainiest :D The lowest energy state of an atom is itsA. Highest-occupied energy level.B. Principle quantum number.C. Electron configuration.D. Ground state. What component of Earths atmosphere exists entirely as a result of photosynthesis?oxygen gaswater vapornitrogen gascarbon dioxide gas what is the fraction for 0.457(repeating) In Newtons second law, if the net force acting on object doubles. The objects Will also double The value of the x-intercept for the graph of 4x - 5y = 40 is What is one way that Emperor Qian Long responds to King George III'smessengers?A. He says that China has everything it needs, which means Britainhas nothing to offer.B. He ridicules the king's gifts and tells his servant to destroy them.C. He immediately slads the British messengers home and refuses ameeting with the British ambassador.D. He plans a trip to Britain to create trade agreements with KingGeorge III. Moses led an exodus of Hebrews from Egypt to Canaan because ofA. droughtB. diseaseC. persecutionD. famine Which complaint was set forth in the Declaration of Independence?Group of answer choicesThe King ignored the wishes of the British House of Commons.The King repeatedly dissolved colonial legislatures.The King allied with France against the colonists.The King never personally visited the colonies. Write your diary entry in the space below. Be sure to include factual details as you would if you were actually there.200 worlds Can someone help me with the equation please? Solve9x - 19 = 2x - 5 HELP tHIS IS TIMEDwhat is the degree of 4a^5b^2+2ab^3A - 5B - 7C - 10D - 11 the quotient of 9 3/4 and 5/8 The Feds use of open market operations affects banks A.interest rates. B.money available to lend. C.lending practices. D.stability. Who demanded the bill of rights to be added to the constitution? Why?