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Damm [24]
3 years ago
6

What is the distance between 78,2 and 78,103 along the y-axis on a coordinate grid?

Mathematics
2 answers:
Zolol [24]3 years ago
8 0
The distance is 101.

The only coordinate that changes is the y-coordinate; it goes from 2 to 103:
103-2=101
Diano4ka-milaya [45]3 years ago
4 0

The points are (78,2) and (78,103) .

Now we have to find the distance between these two points

So we can use the distance formula

So let's use the distance formula between these two points

d= \sqrt{(x_2 - x_1 )^2 + ( y_2 - y_1)^2}

d= \sqrt{(78 - 78 )^2 + ( 103 - 2)^2}

d= \sqrt{(0 + 101^2}= \sqrt{101}

d= 10.05

So distance is 10.05 units

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An investor has an account with stock from two different companies. Last year, her stock in Company A was worth $6750 and her st
pantera1 [17]

Answer:

3.5%

Step-by-step explanation:

1. calculate starting total

6750 + 4210=10960

starting amount = $10,960

2. calculate stock    A2's value

  • decreased by 18%

to make the percentage usable in this equation we need to divide it by 100 to get it in decimal form. ⇒ \frac{18}{100} = 0.18

  • multiply stock A1 by perctage decimal to get the amount decreased

6750(0.18)=1215 ($1,215)

  • subtract stock A1 by decreased amount to get stock A2's value

6750-1215=5535

A2 = $5,535

3. calculate stock    B2's value

  • increased by 20%

to make the percentage usable in this equation we need to divide it by 100 to get it in decimal form. ⇒ \frac{20}{100} = 0.20

  • multiply stock B1 by perctage decimal to get the amount increased

4210(0.20)=842 ($842)

  • add stock B1 with increased amount to get stock B2's value

4210+842=5052

B2 = $5,052

4. get new amount of account

5052+5535=10587

new amount = $10,587

5. find percentage decrease of starting amount to new amount

  • divide starting amount by the new amount

\frac{10960}{10587} = 1.03523188816

  • then subtract by 1

1.03523188816-1 =0.03523188816

  • multiply by 100 to convert to percentage form

0.03523188816(100) =3.523188816

  • and round to <u>nearest tenth</u>

answer is ≈ 3.5%

::: (\_(\ Hope

*: (=' :') this

•.. (,('')('') helped :)

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