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DochEvi [55]
3 years ago
9

Please help I will increase the amount of points for every question answered

Mathematics
1 answer:
Rasek [7]3 years ago
8 0

Answer:

<em>Rate of Change = 4</em>

Step-by-step explanation:

The starting point (x=0) is (0, -2)

The ending point (x=2) is  (2, 6)

The distance between the two points in rise over run terms is 8/2

\frac{8}{2} =4=rate

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8:24 in simplest form
Mamont248 [21]

Answer:

1/3

Step-by-step explanation:

4 0
3 years ago
Matthew invested $3,000 into two accounts. One account paid 3% interest and the other paid 8% interest. He earned 4% interest on
boyakko [2]

<u>Answer:</u>

<em>Mathew invested</em><em> $600 and $2400</em><em> in each account.</em>

<u>Solution:</u>

From question, the total amount invested by Mathew is $3000. Let p = $3000.

Mathew has invested the total amount $3000 in two accounts. Let us consider the amount invested in first account as ‘P’

So, the amount invested in second account = 3000 – P

Step 1:

Given that Mathew has paid 3% interest in first account .Let us calculate the simple interest (I_1) earned in first account for one year,

\text {simple interest}=\frac{\text {pnr}}{100}

Where  

p = amount invested in first account

n = number of years  

r = rate of interest

hence, by using above equation we get (I_1) as,  

I_{1}=\frac{P \times 1 \times 3}{100} ----- eqn 1

Step 2:

Mathew has paid 8% interest in second account. Let us calculate the simple interest (I_2) earned in second account,

I_{2} = \frac{(3000-P) \times 1 \times 8}{100} \text { ------ eqn } 2

Step 3:

Mathew has earned 4% interest on total investment of $3000. Let us calculate the total simple interest (I)

I = \frac{3000 \times 1 \times 4}{100} ----- eqn 3

Step 4:

Total simple interest = simple interest on first account + simple interest on second account.

Hence we get,

I = I_1+ I_2 ---- eqn 4

By substituting eqn 1 , 2, 3 in eqn 4

\frac{3000 \times 1 \times 4}{100} = \frac{P \times 1 \times 3}{100} + \frac{(3000-P) \times 1 \times 8}{100}

\frac{12000}{100} = \frac{3 P}{100} + \frac{(24000-8 P)}{100}

12000=3P + 24000 - 8P

5P = 12000

P = 2400

Thus, the value of the variable ‘P’ is 2400  

Hence, the amount invested in first account = p = 2400

The amount invested in second account = 3000 – p = 3000 – 2400 = 600  

Hence, Mathew invested $600 and $2400 in each account.

3 0
3 years ago
Read 2 more answers
Rachel and her friends eat 5/4 pizzas. How can you write the amount of pizza they ate as a mixed number?
andrew-mc [135]
Divide 5 by 4 and the left over Is the top of the fraction then your divisor is on the bottom so it would be 1 and 4/5.
6 0
3 years ago
Read 2 more answers
Easy 20 points please tell me if I got it right and if not please tell me the right answer
mash [69]

Answer:

No, you are not correct.

It should look like this:

                              Prefer colorful decorations      Prefer neutral decorations

Pay attention                           20                                                  25

to fashion

Do not pay

attention to                              72                                                      33

fashion

Step-by-step explanation:

33 is 22% of 150. In the question it states that 70% of people do not pay attention to fashion. We need to find the other 48% here. In order to do that we multiply .48 by 150. That gets us 72. To check that answer you can add both 72 and 33 and then divide by 150, which gets 70%.

To get the amount of people that prefer neutral decorations and pay attention to fashion we need to add up 20 + 72 + 33 and that equals 125. Next, we take 150 and minus 125 of it to get 25.

<em>Hope this helps!!</em>

<em>- Kay :)</em>

3 0
2 years ago
Evaluate the expression.<br> 4.2°
Mariana [72]

Answer:

4.2°

Step-by-step explanation:

The result can be shown in <u>m</u><u>u</u><u>l</u><u>t</u><u>i</u><u>p</u><u>l</u><u>e</u> forms.

Exact Form: 4.2°

Decimal Form: 4.2

I hope this helps!

4 0
2 years ago
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