1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Helen [10]
3 years ago
11

Ethan is saving money in his piggy bank for his upcoming trip to Disney World. On the first day, he put in $12 and plans to add

seven more dollars each day.
Part A: Write an explicit formula that can be used to find the amount of money saved on any given day.
Part B: How much money will he have on the 18th day?
Part C: The Disney trip is in 187 days from the day he started saving. How much money will he have on the 187th day?
Mathematics
1 answer:
Rudik [331]3 years ago
3 0

Answer:

Part A: S_{n} = 12 + 7(n - 1)

Part B: $131

Part C: $1314

Step-by-step explanation:

Ethan is saving money in his piggy bank for his upcoming trip to Disney World. On the first day, he put in $12 and plans to add seven more dollars each day.

Part A:

On the first day, he puts $12 in the piggy bank.

On the second day, he deposited $7 in it. So, after second day he has (12 + 7) = $19.

On the third day, he deposited $7 more in it. So, after third day he has (19 + 7) = $26.

In this way, the savings in the piggy bank are growing in an arithmetic sequence with first term $12 and a common difference $7.

Therefore, the explicit formula that can be used to find the amount of money saved on any given day is given by  

S_{n} = 12 + 7(n - 1)

Part B:

Putting n = 18, we get the money that he will have on the 18th day, is given by S_{18} = 12 + (18 - 1) 7 = 131 dollars.

Part C:  

The Disney trip is in 187 days from the day he started saving. Then he will have after 187 days S_{187} = 12 + (187 - 1)7 = 1314 dollars. (Answer)

You might be interested in
What is f(x) = 2x + 2^4
Jlenok [28]

Answer:

f(x) = 2x + 2^4 is a function.

7 0
3 years ago
What i the product ? (2x-1)(x+4)​
kogti [31]

Answer:

2x^2+7x-4

3 0
3 years ago
Read 2 more answers
Ok guys I would love to show you a pic of this but can't stupid phone not enough storage i deleted like a ton of stuff but I nee
Leokris [45]
I would think that this would be an example of what you are looking for. By the way, you are so pretty! :) Sorry if I am wrong, I will try again if you don't think it is right. 


8 0
3 years ago
In three to five sentences, explain the importance of sentence structures in good writing.
jenyasd209 [6]

Answer:

Sentence structure needs to simple, standalone, Grammarly justified and able enough to convey the writer thoughts and feelings clearly

Step-by-step explanation:

Sentence structure is very essential to convey the idea of the writer clearly. It is just like the skeleton of a write up and hence its framework needs to be clear and able enough to express the real sense. The structure of sentence needs to be complete with adequate grammar and punctuations. A good sentence must be able to express a complete idea  on its own.

4 0
2 years ago
Deborah has 4 unread emails in her inbox. She has 36 emails all together in her inbox. What is the ratio of unread emails to rea
Tasya [4]

Answer:

1:9

1 unread email for every 9 read

5 0
3 years ago
Other questions:
  • How do i find the perimeter of a polygon<br><img src="https://tex.z-dn.net/?f=8%20%2B%208%20%2B%2010" id="TexFormula1" title="8
    11·1 answer
  • X -7 &lt; -12<br><br> Solve and graph the inequality
    10·1 answer
  • When rolling a fair dice numbered 1-6 what is the probability of getting an even number
    8·2 answers
  • Each rectangle has its area written inside and the expression mod
    10·1 answer
  • Why do some numbers from perfect squares and others do not? <br> 3,5,6,8
    9·1 answer
  • A spinner has
    15·2 answers
  • Find the axis of symmetry.
    15·1 answer
  • Will GiVE BRAINLIEST!!!!
    10·1 answer
  • It took 5 builders 3 and a half hours to build a wall
    12·2 answers
  • Who is farther? a a Briel and Daniela are siblings. One day, Briel decided to go on a mountain climbing but Daniela went to the
    13·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!