The seller of a certain piece of real estate received the following two offers from prospective purchasers: Offer 1: The payment for the first year is $24,000, and the payment for nine years thereafter there is an annual increase of $1800 in the payments.
Offer 2: The payment for the first six months is $12,000, and for the second six months is $12,450. For nine years thereafter there is a semiannual increase of $450 in the payments.
Which offer will give the seller more money over a ten year period and how much more?

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Answer:

Offer 1. $18,600(#1) vs. $154,800(#2)

Step-by-step explanation:

Opt 1:

24000 + 9(1800)

24000 + 16200

18,600

Opt 2:

6(12000) + 6(12450) + 9(450 • 2)

72000 + 74700 + 8100

72000 + 82800

154,800