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lutik1710 [3]
4 years ago
12

"Bailey Broker leases a property to Susie Smiley for 5 years. Bailey will receive a 5% commission. The rent for the property is

$300 per month for the first year, with a $50-per-month increase each succeeding year. Knowing this, what will Bailey's commission be?
Mathematics
1 answer:
Y_Kistochka [10]4 years ago
8 0

Answer:

  $1200

Step-by-step explanation:

On an annual basis, Susie will be paying ($300×12) = $3600 the first year, and ($50×12) = $600 more each year after. The average rent over the 5-year period will be the rent in year 3, or $3600 +2×600 = $4800.

Susie's total rent for the period is ...

  $4800×5 = $24,000

and Bailey's total commission will be ...

  0.05 × $24,000 = $1200

_____

The sequence of annual rents is an arithmetic sequence with first term 3600 and common difference 600. The total of n terms of an arithmetic sequence will be ...

  sum = (2·a1 +d(n -1))×(n/2)

  = (2·3600 +600(5-1))(5/2) = 24000 . . . for n=5

This is the average term multiplied by the number of terms. When the number of terms is odd, the average term is the middle one (term 3 when there are 5 terms).

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A die with six faces has the number 1 painted on three of its faces, the number 2 painted on 2 of its faces, and number 3 on one
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Answer:

a) S = {1, 2, 3}

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c) No

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Step-by-step explanation:

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7 0
3 years ago
Point B ∈ AC. Find the length of segments AB and BC if AC = 20 cm and: AB:BC = 3:7
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Answer:

Length of AB  = 6 cm

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Step-by-step explanation:

Here, B is a point on a segment AC.

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and the length of the segment BC = 7x =  7 x 2 =  14 cm

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