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On the first day you withdraw $600 from an account. Each day after that, you withdraw 45% of the amount you withdrew the previous day. You continue daily withdrawals each day that the withdrawal remains at least $1. What is the total amount you withdraw?

A $1089.07
B $1090.08
С $1327 19
D $1090.91

User Ben Creasy
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1 Answer

4 votes

Final answer:

To find the total amount you withdraw, use a recursive formula. The total amount you withdraw is $1089.07.

Step-by-step explanation:

To find the total amount you withdraw, you can use a recursive formula. Let's break it down:

  1. On the first day, you withdraw $600.
  2. On the second day, you withdraw 45% of $600 = $270.
  3. On the third day, you withdraw 45% of $270 = $121.50.
  4. Continue this pattern until your withdrawal is less than $1.
  5. Add up all the amounts you withdrew to find the total.

Using this method, the total amount you withdraw is $1089.07.

User Derek Evermore
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