What will the final value of the counter be in the loop that increments from 0.01 to 1.0?

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Prepare for the Arizona State University CSE110 Exam 1. Study with flashcards and multiple choice questions, each question has hints and explanations. Get ready for success!

To determine the final value of the counter that increments from 0.01 to 1.0, we need to analyze the process of incrementing.

Assuming that the loop is structured to start at 0.01 and increases by 0.01 on each iteration, you would continue this process until you reach or exceed 1.0. The incrementing process can be stated mathematically; if you start at 0.01 and add 0.01 each time, you can represent the value of the counter after each increment as:

  • First increment: 0.01
  • Second increment: 0.02
  • Third increment: 0.03
  • ...
  • Up to the final increment which would lead to 1.0.

To calculate how many increments are needed to reach 1.0, you can use the formula:

Final value = Start value + (Number of increments) * Increment size

Setting this up gives:

1.0 = 0.01 + (Number of increments) * 0.01.

Subtracting 0.01 from both sides leads to:

0.99 = (Number of increments) * 0.01.

Now, dividing both sides by

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