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Ebony’s bank balance first reached $400 on Day 4. The last day her balance was $400 was Day 8.

(a) Determine
B B B 5 , 6 , and 7     
. Explain how you determined these amounts.
(b) Estimate
B B B 1 , 2 , and 3     
. Explain how you determined these amounts.
(c) Jade said that the amount of money Ebony took out of her account each day between Day 8 and Day
12 was the same amount of money she put into her account each day between Day 0 and Day 4.
Recall that Day 12 is when the balance first reached $0. Without doing any calculations, how could
you show Jade why that cannot be true?

User Sarimin
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2 Answers

6 votes

Final answer:

To determine the amounts, we use the given information. On days 5, 6, and 7, Ebony's bank balance would be $400. To estimate the amounts on days 1, 2, and 3, we assume a constant rate of increase or decrease. We can show that Jade's statement is not true because Ebony's balance was increasing between Day 0 and Day 4, while it was decreasing between Day 8 and Day 12.

Step-by-step explanation:

(a) To determine the amounts on days 5, 6, and 7, we can use the fact that Ebony's bank balance reached $400 on Day 4 and the last day her balance was $400 was Day 8. This means that between Day 4 and Day 8, Ebony's bank balance remained constant at $400. Therefore, on Day 5, Day 6, and Day 7, Ebony's bank balance would also be $400.

(b) To estimate the amounts on days 1, 2, and 3, we can assume that Ebony's bank balance increases or decreases at a constant rate. Since her balance reached $400 on Day 4, we can estimate that her balance on Day 3 would be $300, on Day 2 would be $200, and on Day 1 would be $100.

(c) Without doing any calculations, we can show Jade that her statement is not true. Since Ebony's balance reached $0 on Day 12, it means that between Day 8 and Day 12, she was consistently withdrawing money. However, between Day 0 and Day 4, her balance was increasing.

Therefore, the amount of money she was putting into her account each day between Day 0 and Day 4 could not have been the same as the amount of money she was taking out each day between Day 8 and Day 12.

User Kantianethics
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10 votes

Answer: Answer:Step-by-step explanation:a) On day 4, her balance = $400on day 5, her balance = $0on day 6, her balance = $400on day 7, her balance = $0on day 8, her balance = $400From the above illustration, Ebony withdraws all the money and deposits the same amount, each every other days.c) I do not think so, perhaps, she must have been doing that previously, between day 4 and day 8, but have changed her way of withdrawals and savings between day 8 and day 12.

Step-by-step explanation:

User David Maust
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