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leonid [27]
3 years ago
10

The length of the rectangle is 5 cm more than its width. The perimeter is 82 cm.

Mathematics
2 answers:
saveliy_v [14]3 years ago
7 0

for two variables you need two equations but first, what you know

P = 82 cm

now the two eq.s

P = 2a + 2b

82 = 2a + 2b (you plugged in what you know)

a = b + 5

and now you put one in the other

82 = 2(b + 5) + 2b

82 = 2b + 10 + 2b

82 - 10 = 4b

4b = 72 /:4

b = 18

and now plug in b in the equation for a

a = b + 5

a = 18 + 5

a = 23

now check your work

P = 2a + 2b

82 = 2*23 + 2*18

82 = 46 + 36

82 = 82

Leto [7]3 years ago
4 0

The width is 18 because if you take 82 and subtract 10 for the 2 lengths ( because we are using perimeter) you come out with 72. 72 divided by 4 is 18, the lengths are five more because we took away that 5 in the beginning.

W=18cm

L=23cm

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Answer:

Step-by-step explanation:

e simplest type of interest is called, appropriately, “simple interest.” If you were to loan a friend $1000 to start a business and you both agreed that in one year, the friend would repay you $1060, you would earn $60 interest on that investment.

You would earn $60 simple interest. Simple interest is calculated as a percentage of the initial amount borrowed and does not include any additional earnings.

The percentage of the original loan amount that is paid as simple interest is called the interest rate. In our example, the interest rate on a $1000 loan that requires a $60 interest payment in one year is:

The simple interest rate on this loan would be 6%.

Interest Rate = The amount earned on an investment or charged on a loan (% of the principal)

Principal = The original amount of money borrowed for a loan or placed into an investment

Video Source (06:53 mins) | Transcript

The following video shows another example of simple interest and explains how this works with a little more detail.

Video Source (03:44 mins) | Transcript

There are two perspectives on interest. Someone is the lender, and someone is the borrower. From the viewpoint of the lender, interest is great. It allows them to make money on their investment. From the perspective of the borrower, interest can be a big problem. In addition to paying back the original amount of the loan, the borrower must also pay the interest.

The higher the interest rate, the greater the interest payment will be.

Interest Equation: I = Prt

I = Interest

P = Principle

r = Rate (using the decimal form of the %)

t = Time

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Additional Resources

Khan Academy: Intro to Simple Interest (02:45 mins, Transcript)

Khan Academy: Finding Simple Interest for One Year (05:22 mins, Transcript)

Khan Academy: Finding Simple Interest for Many Years (08:03 mins, Transcript)

Practice Problems

What is the definition for each of the variables in the simple interest formula (I=Prt)?

How much interest will you earn if you invest $500 for three years at a simple interest rate of 4% annually?

How much interest will you earn if you invest $1000 for seven years at a simple interest rate of 8% annually?

What is the total amount of money that you will have at the end of the four years if you invest $2000 for four years at a simple interest rate of 8% annually?

What is the total amount of money that you will have at the end of the six years if you invest $900 for six years at a simple interest rate of 7% annually?

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