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Bond [772]
3 years ago
9

Star bought a new pair of Ray Ban sunglasses, originally priced at $109.99, on sale for 25% with a 5% tax. How much does Star pa

y for the sunglasses?
Mathematics
1 answer:
Hitman42 [59]3 years ago
8 0

Answer:

$22

Step-by-step explanation:

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Answer:

\$843.67

Step-by-step explanation:

Let's break the price changes down:

Initial price: $896

On sale for 12%, meaning the computer will be 100-12=88% of the original price:

New sale price \implies896\cdot 0.88=\$788.48

Now a 7% tax is added to this, meaning the final price will be 107% of this new sale price.

Final price \implies 788.48\cdot 1.07\approx \boxed{\$843.67}

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3 years ago
Prove the following identi<br> v 1-cos2A/sin2A=tanA
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Answer:

 1-cos2A/sin2A

=(1-cos^2 A+sin^2 A)/(2sinAcosA)

=(sin^2 A+sin^2A)/2sinAcosA

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=tanA

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3 years ago
The weekly sales of Honolulu Red Oranges is given by q = 896 − 20p.(A) Calculate the price elasticity of demand when the price i
vitfil [10]

Answer with Step-by-step explanation:

Since we have given that

q = 896-20p

p = $32

.(A) Calculate the price elasticity of demand

As we know that

e=-\dfrac{dq}{dp}\times \dfrac{p}{q}\\\\e=-(-20)\times \dfrac{32}{896-20p}\\\\e=\dfrac{20\times 32}{896-20p}\\\\e=\dfrac{640}{896-20p}\\\\e=\dfrac{640}{896-640}\\\\e=\dfrac{640}{256}=2.5

(B) The demand is going down with increase in 15 increase in price at that price level, as we know that there is inverse relationship between price and quantity demanded.

(C)  Also, calculate the price that gives a maximum weekly revenue.

R=pq\\\\R=p(896-20p)\\\\R=896p-20p^2

We first find the first derivative:

R'(p)=896-400p

So, it becomes,

896-40p=0\\\\40p=896\\\\p=\dfrac{896}{40}=\$22.4

R=-40<0, so, it will give maximum revenue.

(D) Find this maximum revenue.

Maximum revenue would be R=pq\\\\R=22.4(896-20\times 22.4)\\\\R=\$10035.2

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3 years ago
A genetic test is used to determine if people have a predisposition for thrombosis, which is the formation of a blood clot insid
IceJOKER [234]
Idk mane but uh I just don’t know
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3 years ago
Suppose that from a group of 9 men, 1 will be randomly chosen for a dangerous assignment, and suppose that the chosen man will b
tangare [24]

Answer:

1/54

Step-by-step explanation:

1/9 x 1/6

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