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2 years ago

11

Elizabeth’s aunt started a college savings account for her with $6,000. What is the balance of the account after 5 years if the

simple interest rate is 2.5%

1 answer:

vaieri [72.5K]2 years ago

7 0

Answer:

6750

Step-by-step explanation:

simple interest = P×r%×t

P = $6000

r = 2.5%

t = 5 years

I = 6000 × 2.5/100 × 5

= 750

6000 + 750 = $6750

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3 years ago

Which of the following shows that ABCD is a parallelogram for x=6 and y =8? (20 points)

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Answer:

AB = CD = 44 and BC = AD = 31 ; so ABCD is a parallelogram

Step-by-step explanation:

A parallelogram should have two pairs of parallel sides meaning the length of side AB should be the same as the length of side CD and the length of side AD should be the same as the length of side BC.

<u>First, lets see if line AB is parallel to line CD.</u>

Let's start by finding out the length of line AB.

Since we know x = 6 we will replace x with 6 in the expression:

7(6) + 2 = 42 + 2 = 44

Now that we know the length of line AB is 44, lets find the length of line CD by replacing x with its value of 6:

9(6) - 10 = 54 - 10 = 44

Now that we know the length of line CD is 44, we can see that line AB is parallel to line CD since they both have the same length of 44.

<u>Now, lets see if line BC is parallel to line AD.</u>

Let's start by finding out the length of line BC.

Since we know y = 8 we will replace y with 8 in the expression:

3(8) + 7 = 24 + 7 = 31

Now that we know the length of line BC is 31, lets find the length of line AD by replacing y with its value of 8:

5(8) - 9 = 40 - 9 = 31

Now that we know the length of line AD is 31, we can see that line BC is parallel to line AD since they both have the same length of 31.

<u>Conclusion</u>

ABCD is a parallelogram because it contains two parallel sides.

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