I already found the answer but it wasn't on so i want to help by putting it here The athlete’s salary, in thousands, for year n can be represented by: an = 400(1.05)n-1. Find the first four terms, in thousands, of the geometric series. Round to the nearest thousand. a1 = ⇒ 400 a2 = ⇒ 420 a3 = ⇒ 441 a4 = ⇒ 463

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Rest of the assignment on Edge:

Which shows the partial sum, in thousands, of the first four terms in summation notation?

C: S4 = 4 E n = 1 400 (1.05)n-1

The approximate salary, in thousands, earned each year for the first five years is $400, $420, $441, $463, and $486. Explain how you can evaluate the fifth partial sum. What does the fifth partial sum represent?

One can evaluate the fifth partial sum by adding all five terms and using the formula for the fifth partial sum.

The fifth partial sum represents the total amount of money the athlete makes over the first five years.

The fifth partial sum, in thousands, is approximately:

$2,210

How much money will the athlete earn over the first five years?

$2,210,000

Would you use the same method to find the eighth partial sum as you used to find the fifth partial sum? Why or why not?

Yes because the partial sums increase by a constant rate of 1.05.

Which can be used to find the eighth partial sum?

C: 400(1-1.05^8/1 - 1.05)

Over the eight-year contract, the athlete would make approximately:

$3,820,000

A pro-athlete is offered an eight-year contract with a starting salary of $400,000. She will receive an annual increase of 5% for meeting certain goals. The athlete receives another offer of an eight-year contract with a starting salary of $425,000 and a 4% increase each year for meeting the same goals. Which offer should the athlete take? Explain.

The athlete should take the offer with a starting salary of $425,000 and a 4% increase each year because the overall increase will be $1,007.20 as opposed to $991.08 for the other offer.

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the answer is 489

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24

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