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Fittoniya [83]
3 years ago
6

Debra wants to net $100,000 on her house. Her closing costs will be 15,000 plus a 6% commission. She owes $310,000 on her loan.

What is the minimum listing price that Debra can agree to?
Mathematics
1 answer:
andriy [413]3 years ago
8 0

Answer:

$452,128

Step-by-step explanation:

Profit after selling = $100,000

Closing cost = $15,000

Debra owes $310,000 on loan

Sellers gross net = profit after sales + closing cost + loan

= $(100,000 + 15,000 + 310,000)

= $425,000

Since the commission is 6% , the sellers percentage = 100 -6

= 94%

= 0.94

Minimum listing price = 425,000/0.94

= $452,127.66

= $452,128

The minimum listing price Debra can agree to is $452,128

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-1,4,-7,10,...  neither

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Given:

sequences: -1,4,-7,10,...

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To find: which of the given sequence forms arithmetic progression, geometric progression or neither of them

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A sequence forms an arithmetic progression if difference between terms remain same.

A sequence forms a geometric progression if ratio of the consecutive terms is same.

For -1,4,-7,10,...:

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\frac{4}{-1}=-4\\\frac{-7}{4}=\frac{-7}{4}\\\frac{10}{-7}=\frac{-10}{7}\\So,\,\,\frac{4}{-1}\neq \frac{-7}{4}\neq \frac{10}{-7}

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So, -1,4,-7,10,... is neither an arithmetic progression nor a geometric progression.

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As ratio of the consecutive terms is same, the sequence forms a geometric progression.

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-18-(-25)=-18+25=7\\-11-(-18)=-11+18=7\\-4-(-11)=-4+11=7\\So,\,\,-18-(-25)=-11-(-18)=-4-(-11)

As the difference between the consecutive terms is the same, the sequence forms an arithmetic progression.

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