Hector is deciding how much he should invest each year. The Automatic Method multiplies the average income by 10%, where the average income is $50,000 for an employee that has been at the same company for 10 years or less and $60,000 for an employee that has been at the same company for more than 10 years. The Exact Method multiplies the exact income by 7.5%. Suppose Hector has been at the same company for 12 years and his income last year was $75,000. Find the amount Hector should invest using both methods.

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joaobezerra joaobezerra · Answer 1 · 2021-10-05T01:04:43+02:00

Using proportions, it is found that:

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By the Automatic Method, an employee that has been on the company for more than 10 years invests $60,000 multiplied by 10% = 0.1.

Thus:

[tex]60000 \times 0.1 = 6000[/tex]

Using the Automatic Method, Hector should invest $6,000.

By the Exact Method, it's his exact income, which is $75,000 multiplied by 7.5% of it, that is, 0.075.

Thus:

[tex]75000 \times 0.075 = 5625[/tex]

Using the Exact Method, Hector should invest $5,625.

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