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2 years ago

Kendra has a painting canvas that is 22 inches wide by 38 inches high. She painted a red rose, which covered 30% of the canvas.

Mathematics

1 answer:

Wittaler [7]2 years ago

7 0

Given: 

Breadth of canvas is 22 inches.
Length of canvas is 38 inches.

To Find:

If kendra covered 30% of the canvas by painting red rose, what will be the area of canvas covered by red rose?

Solution: 

To find the area of red rose, first we have to find the area of canvas.

★ Area of Rectangle = Length × Breadth

➝ 22 × 38

➝ 836 in²

So, Area of canvas is 836 inches².

★ Area of red rose:-

➝ 30% of 836 in²

➝ 0.30 of 836

➝ 250.8

Hence, Area covered by the red rose is 250.8

<h2> ____________________</h2><h3>Additional Information: </h3>

★ Triangle => ½bh

★ Rectangle => Length × Breadth

★ Circle => πr²

★ Square => Side × Side

★ Parallelogram => Base × Height

★ Sphere => 4πr²

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Kenneth loaned $1,200 to his niece to buy a computer. Two years later, she paid him back the $1,200 along with an interest of $9

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Answer:

The annual interest rate was 4%

Step-by-step explanation:

1. Let's review the data given to us for solving the question:

Loan to Kenneth's niece to buy a computer = US$ 1,200

Duration of the loan = 2 years

Niece paid back to Kenneth = US$ 1,296

Annual interest rate = x%

2. Let's find the annual interest rate after 2 years, using the following formula:

FV = PV * (1 + x)

PV = Loan to Kenneth's niece to buy a computer = US$ 1,200

FV = Niece paid back to Kenneth = US$ 1,296

rate (r) = x

Replacing with the real values:

1,296 = 1,200 * (1 + x)

1.296/1.200 = (1 + x) (Dividing by 1,200 at both sides)

1.08 = 1 + x

1.08 - 1 = x (Subtracting 1 at both sides)

0.08 = x

This is the interest rate for two years, for finding the annual interest rate we divide it by 2, this way:

0.08 / 2 = 0.04 * 100 = 4%

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Suppose that the populations of the United States and China both increase by 12 million people in one year. What would be the re

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Question:

Suppose that the populations of the United States and China both increase by 12 million people in one year. What would be the relative change for each country? Answer to the nearest tenth of a percent (1 decimal place). Make sure that you fill in each answer area before checking "How Did I Do?".

If you assume that the U.S. population is about 300 million, an increase of 12 million would result in a relative change of Number %.

If you assume that China has about 1 billion people, an increase of 12 million would result in a relative change of Number %.

Answer:

The relative change of the United States and China is 4% and 1.2%, respectively.

Step-by-step explanation:

Given

Represent population with p. So, we have:

United States

$\triangle p = 12\ million$