Alma was given some money as a gift and deposited it into a savings account. She makes a withdrawal of the same amount at the end of each month. At the end of the 5th month, her balance was $442. At the end of the 13th month, her balance was $226. what is the input? what is the output? what are the two points described in the real-world scenario?
Answers
Answer:Here, It is Given that
Input = $ 577 and Output = $ 226
Step to step explaination:
Answer:
Let the amount drawn between the 5th month and the 13 th month be x.
From the 5th to 13 th month are 8 months.
Therefore, the difference will be 442− 226 = $ 216
This amount is distributed over 8 months so each month Alma withdraws: \frac{$216}{8} = $ 27.00
In the meantime, the 5th month, the money withdrawn will be: 442 + (5×442+(5× 27.00) = $ 577.00
The output will be $ 216. This is the amount remaining after all the withdraws
Given: Alma's balance at the end of the 5th month = $ 442.
Her balance at the end of the 13th month = $ 226.
To find: The input and the output
Solution: The difference between the balance at the end of the 13 month and the 5th month = $ 442 - $ 226 = $ 216.
Since she makes a withdrawal of the same amount at the end of each month, we can say that there was a total withdrawal of $ 216 evenly spread across 8 months.
Hence, the withdrawal amount per month = $ 216/8 = $ 27.
Therefore, the input
= the balance at the end of the 5th month + $ 27 × 5
= $ 442 + $ 135
= $ 577
The output = $ 226
Answer: $ 577, $ 226