Let M = (3)(89,416.04) and N = 89,412 + 89,414 + 89,419. Which of the following is equal to 5M - 5N?

Rationale

5M - 5N is equal to 15.6.

To solve for 5M - 5N, we first calculate M and N. M equals 3 times 89,416.04, resulting in 268,248.12. N, being the sum of its components, equals 89,412 + 89,414 + 89,419, which totals 267,245. Therefore, 5M - 5N equals 5(268,248.12) - 5(267,245), leading to 15.6.

A (5.12) YOUR ANSWER

This option is too low and does not reflect the correct calculation of 5M - 5N. The difference between M and N, when scaled by 5, results in a much larger value than 5.12.

B (5.2) YOUR ANSWER

Like option A, this value is also insufficient. The calculations yield a significantly greater outcome when applying the scaling to the difference between M and N, making 5.2 an incorrect choice.

C (5.6) YOUR ANSWER

While this option is closer, it still underestimates the result of 5M - 5N. The computations show that the actual difference is much larger than 5.6, confirming it as an incorrect answer.

D (15.2) YOUR ANSWER

This choice is also incorrect as it is slightly less than the computed result of 15.6. The calculations clearly show that the difference results in a value that exceeds 15.2.

E (15.6) CORRECT

This is the correct answer as it accurately reflects the final outcome of 5M - 5N based on the calculations performed.

Conclusion

The calculation of 5M - 5N demonstrates that understanding the relationship between M and N and applying basic arithmetic operations yields a precise answer. With M being derived from a multiplication factor and N from a straightforward sum, the final result of 15.6 effectively represents the difference scaled by five, affirming the accuracy of the computations involved.

Let M = (3)(89,416.04) and N = 89,412 + 89,414 + 89,419. Which of the following is equal to 5M - 5N?

5M - 5N is equal to 15.6.

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