11. Let M = (3)(89,416.04) and N = 89,412 + 89,414 + 89,419. Which of the following is equal to 5M - 5N?
Answer: E
15.6
Calculating 5M - 5N results in 15.6. This is determined by first finding the values of M and N, and then performing the subtraction.
A) 5.12
This option is incorrect as it does not reflect the calculations of 5M - 5N. When carrying out the arithmetic, the result is significantly higher than 5.12, indicating that this choice misrepresents the outcome.
B) 5.2
Similar to option A, 5.2 is incorrect. The calculations lead to a number much larger than this value, which suggests that the calculations for M and N were not correctly understood if this option is selected.
C) 5.6
Option C is also incorrect. The calculations for 5M - 5N yield a result that exceeds 5.6, demonstrating that this choice is not valid given the context of the problem.
D) 15.2
While 15.2 is closer to the correct answer than the previous options, it still does not equal 15.6. This indicates that the arithmetic needed to arrive at the final answer was not performed accurately or completely.
E) 15.6
This is the correct answer as it accurately reflects the result of the calculation 5M - 5N. By evaluating both M and N, we can confirm that this value is indeed the result of the operations stated in the question.
Conclusion
The correct answer is 15.6, as it is the precise result of the expression 5M - 5N based on the provided values of M and N. Each of the other options fails to match this outcome, demonstrating a misunderstanding of the calculations involved.