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Ahat [919]
3 years ago
8

What is an equation of the line that passes through the point (-6,-3) and is parallel to the line 5x-3y=9?

Mathematics
1 answer:
irina [24]3 years ago
6 0

Answer:y=5x/3 +7

Step-by-step explanation:

First, we find the slope of the line parallel. That is clearly, by rearranging, -3y= -5x + 9, and then dividing by -3, the slope is 5/3 .

Now, we know our equation is in the form of y = 5x/3 + b. Plugging in (-6,-3), we have -3 = -10 + b, so b = 7. Therefore, our equation is y= 5x/3 +7.

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Orlando invests $1000 at 6% annual interest compounded daily and Bernadette invests $1000 at 7%
Montano1993 [528]

Answer:

6 Years

Step-by-step explanation:

Orlando invests $1000 at 6% annual interest compounded daily.

Orlando's investment = A=1000(1+\frac{0.06}{365})^{(365\times t)}

Bernadette invests $1000 at 7% simple interest.

Bernadette's investment = A = 1000(1+0.07×t)

By trail and error method we will use t = 5

Bernadette's investment will be after 5 years

1000(1 + 0.07 × 5)

= 1000(1 + 0.35)

= 1000 × 1.35

= $1350

Orlando's investment after 5 years

A=1000(1+\frac{0.06}{365})^{(365\times 5)}

   = 1000(1+0.000164)^{1825}

  = 1000(1.000164)^{1825}

  = 1000(1.349826)

  = 1349.825527 ≈ $1349.83

After 5 years Orlando's investment will not be more than Bernadette's.

Therefore, when we use t = 6

After 6 years Orlando's investment will be = $1433.29

and Bernadette's investment will be = $1420

So, after 6 whole years Orlando's investment will be worth more than Bernadette's investment.

8 0
3 years ago
Need help plese! The polygons in each pair are similar. Solve for x. *
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Answer:

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Step-by-step explanation:

8 0
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Write two word sentences for the equation of r/0.2=40.
VikaD [51]

Answer:

1) The quotient of r and 0.2 is equal to 40.

2) r divided by 0.2 is equal to 40.

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