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9966 [12]
3 years ago
9

Mr. Brown owned a house, which he rented for $60 a month. The house was assessed at $9000. In 1975 the rate of taxation was incr

eased from $25 to $28 per $1000 assessed valuation. By what amount should the monthly rent have been raised to absorb the increase in that year's taxes?
Mathematics
1 answer:
Alexandra [31]3 years ago
5 0
We first calculate the percentage increase on the tax

Old value = 25×9 = 225 ⇒ The value 9 represents the 9 lots of thousands of the house's value
New value = 28×9 = 252

Increase in tax = 252 - 225 =27  
Percentage increase = (27÷225) ×100 = 12%

The amount of yearly rent would be then increased by 12%

Monthly rent = $60
Yearly rent = 60×12 = $720
Increase by 12% = 720×1.12 = 806.4 ⇒ The value 1.12 is the multiplier, obtained from 100%+12%=112%=1.12

The monthly rent is 806.4÷12 = $67.20 which is an increase of $7.20 per month
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Let us assume base of the window = b feet.

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We know formula for area of a triangle:

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Plugging values in formula, we get

20 = \frac{1}{2} b \times (b-3)

\mathrm{Multiply\:both\:sides\:by\:}2

40=b\left(b-3\right)

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Factoring quadratic, we get

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<h3>Therefore, base of the triangle = 8 feet and height = 8 -3 = 5 feet.</h3>
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Which of the following arguments correctly justifies the second step of the flow proof of the triangle angle sum theorem below
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Answer:

c(2) = -10

Step-by-step explanation:

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