Alan deposited $300 into a savings account. At the end of the first year the amount of money in the account had increased to $336. At the end of the second year he had $420. Find a percent increase in the amount of money in the savings account at the end of the first year.

Answers

Answer 1
Answer: 12%. You take 336-300 and you get 36. Then you divide 36 with 300 and get .12 which is 12%.
Answer 2
Answer:

Answer:

12%

Step-by-step explanation:


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A rectangle is divided into 8 equal parts.two parts are shaded.what fraction is equivalent to the shaded area of the rectangle

Answers

The total shaded area must be 2/8 = 1/4 of the whole area.

Final answer:

A rectangle divided into 8 parts, with 2 parts shaded, represents the fraction 2/8, which can be simplified to 1/4 or expressed as a decimal, 0.25.

Explanation:

The student's question is related to the concept of fractions in mathematics. In this case, a rectangle is divided into 8 equal parts and the two of these parts are shaded. The fraction that represents the shaded area of the rectangle is therefore 2/8.

However, it's important to note that fractions can be simplified to their lowest terms. Both the numerator (the top number) and the denominator (the bottom number) of the fraction 2/8 can be divided by the common factor of 2. When you do this, you get 1/4.

So, the fraction that is equivalent to the shaded area of the rectangle is 1/4 or 0.25, when expressed as a decimal.

Learn more about Fractions here:

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Find the equation of the line

Answers

Answer:

y=2/3x+4

Step-by-step explanation:

Use rise over run to find slope, then find where the line touches the y-axis to find the y-intercept

Three more than four times a number is 15

Answers

You can model this with the equation 4x+3=15 since it is a number (x) times 4 with 3 added and equals 15.
Subtract 3 from both sides
4x=12
Divide both sides by 4
x=3
4x +3=15 is the equation ..... You do not have to solve it

8.21 as a mixed number

Answers

Hey there, 8.21 as a fraction is 8210/1000, the numerator is 8210 because 8.21*1000=8210 and the denominator is out of 100. The fraction 8210/100, can be simplified to 821/100, 821/100 as a mixed number is 8 21/100. Therefore, 8.21 as a mixed number is 8 21/100.
ok to get a mix number you divide the  numerator by the denominator in this case which is 21 into 100 can only go into 100 4 times so 21 into 100 is 8 4/16 reduced would be 8 1/2

A baseball diamond has an area of 3600 feet to the second power. what is the distance between each base? .

Answers

The base ball diamond has the dimensions of a square. See the diagram in the attachment.

Therefore the area is given by the formula

Area= {l}^(2)

We were given the area to be 3600 feet squared. We just have to substitute this value into the formula to obtain;

3600 = {l}^(2)

Taking the positive square root of both sides gives;

√(3600) = \sqrt{ {l}^(2) }

Thus implies that;

60 = l

We can also rewrite this as;

l = 60

The distance between each base is how far one side is from the other. This is equal to the perpendicular distance between them and this is the same as the length of the sides.

<b>Therefore the distance between each base is 60 feet.</b>
A diamond is the same thing as a square. So the side lengths are all the same. Multiplied length by width you get area. So square the area (3600) and you get 60 feet side length. The bases are 60 feet away from each other.

a musician's hair was originally 3 inches long she asked the hairdresser to cut 5/6 of it off how many inches did she have cut off?

Answers

It would be half an inch long because there is 6 halves in 3 so 5/6 of it would be half an inch