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Usimov [2.4K]
3 years ago
6

X2 + 4x - 9 = 5x + 3 O A. 4 O B. -3 O C. -7 O D. 5 E. -2 F-4

Mathematics
1 answer:
elena-14-01-66 [18.8K]3 years ago
7 0

Answer:

{x}^{2}  + 4x - 9 = 5x + 3 \\  {x }^{2}  - x - 12 \\  {x}^{2}  - 4x + 3x - 12 \\ x(x - 4) + 3(x - 4) \\ (x - 4)(x + 3) \\ x = 4 \: and - 3

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Kabul’s bookshop marks up all books by 40 percent of their cost. The overhead rate is 16 percent of the selling price. What is t
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Answer:

The net profit rate on the book is 5.41

Step-by-step explanation:

Given as :

The marks up percentage of book = m = 40%

The overhead rate is 16% of selling price

The cost price of book = c.p = $18.10

Let The profit = $p

Let The selling price = s.p

<u>Now, According to question</u>

mark up percentage = \dfrac{s.p - c.p}{c.p}

I.e 40% =  \dfrac{s.p - 18.10}{18.10}

Or, \dfrac{40}{100} + 1 = \dfrac{s.p}{18.10}

Or, \dfrac{140}{100} =  \dfrac{s.p}{18.10}

Or, s. p = \dfrac{140\times 18.10}{100}

∴ s.p = $25.34

So, selling price of book = s.p = $25.34

Now, The overhead percentage = 16%

i.e overhead rate = \dfrac{\textrm estimated cost}{\textrm estimated total base unit}

Or, estimated cost = 16% × 25.34

I,e estimated cost = 0.16 × 25.34

∴ estimated cost = $4.05

Now,

Profit = selling price of book - estimated book cost

I.e p = $25.34 - $4.05

∴ p = $21.29

So, The profit rate% = \dfrac{\textrm profit}{\textrm estimated cost}

I.e The profit rate% = \dfrac{21.29}{4.05}

∴ profit rate %= 5.41

So, The profit rate = p = 5.41

Hence, The net profit rate on the book is 5.41  Answer

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3 years ago
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Step-by-step explanation:

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