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2 years ago

An oil painting that originally cost $2500 increases at an annual rate 2%. what is the value of the painting 10 years

1 answer:

7 0

Value after 10 years = 2500 ( 1+ 0.02)¹⁰ = $3047.49 (nearest hundredth)

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Answer: The value of the painting is $3047.49
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The drama club is selling short sleeved shirts for $5 each and long sleeved shirts for $10 each. They hope to sell all of the sh

Gala2k [10]

Answer:

150 short sleeves ordered

100 long sleeves ordered

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2 years ago

Which equation is the inverse of (x minus 4) squared minus two-thirds = 6y minus 12?

mario62 [17]

Answer:

The correct option is option B.

Step-by-step explanation:

The given function is

$(x - 4)^{2} - \frac{2}{3} = 6y - 12$

We can rearrange the function as

$(x - 4)^{2} - \frac{2}{3} = 6y - 12$

⇒ 3(x - 4)² - 2 = 18y - 36

⇒ 3(x - 4)² = 18y - 34

⇒ $(x - 4)^{2} = 6y - \frac{34}{3}$

⇒ $x - 4 = \pm \sqrt{6y - \frac{34}{3}}$

⇒ $x = 4 \pm \sqrt{6y - \frac{34}{3}}$

Therefore, the inverse function will be, $y = 4 \pm \sqrt{6x - \frac{34}{3}}$

Therefore, the correct option is option B. (Answer)

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2 years ago

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The newest model of smart car is supposed to get excellent gas mileage. A thorough study showed that gas mileage (measured in mi

Leokris [45]

Answer:

75.

Step-by-step explanation:

If the mean is 75 miles per gallon and the standard deviation is of 10 miles per gallon, it means that most values will fall between 65 and 85 miles.

The percentile 50 falls in the middle of this range, therefore, the value that represents the 50th percentile will be:

(65 +85) / 2 = 150 / 2 = 75.

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2 years ago

Elliot has a total of 26 books. He has 12 more fiction books than nonfiction books. Let x represent the number of fiction books

Marta_Voda [28]

Given:

Elliot has a total of 26 books. He has 12 more fiction books than nonfiction books.

To Find:

A system of linear equations represents the situation.

Answer:

$x+y=26\\\\x=y+12$

Step-by-step explanation:

We are given that x represents the number of fiction books and y is the number of non-fiction books.

We are also given that the total number of books Elliot has is 26 which includes both fiction and non-fiction. So, we may write

$x+y=26$

Next, we are given that there are 12 more fiction books than non-fiction books. This means, the fiction books are more in number and so, we may write

$x=y+12$

So, the total system of equations can be represented as

$x+y=26\\\\x=y+12$

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2 years ago

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ALGEBRA 2/ TRIG QUESTION ATTACHED Please help ❤️❤️

ss7ja [257]

Let's calculate the value of angle A and B

sin(A) =-4/5 → sin⁻¹(- 4/5) = A → A = - 53.13

cos(B) = -5/13 → cos⁻¹ (- 5/13) = B → B = 112.62

tan (A+B) = sin(A+B)/cos(A+B) with A+B = -53.13 + 112.62 = 59.49

tan (A+B) = sin(59.49)/cos(59.49) = 0.86154/0.507688 = 1.6969.

(Answer H = 56/33 = 1.6969)

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2 years ago