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hodyreva [135]
3 years ago
6

Use the Zero Product Property to solve the equation. (3y − 9)(12y + 2) = 0

Mathematics
1 answer:
alexandr402 [8]3 years ago
5 0

Answer:

Exact form would be like this, y=3, -1/6

Decimal form would be like this, y=3, -0.16666666666666666666666 and keep adding 6's.

Step-by-step explanation:All you do is isolate the variable by dividing each side by factors that don't contain the variable. Sorry I took so long I'm trying to answer multiple problems at once. Hope this helps you out.    :   )

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3 ( 2m - 1 ) - 5m ≤ -1 Please help
Rudiy27

3 ( 2m - 1 ) - 5m ≤ -1

6m-3-5m≤ -1

m-3≤ -1

m ≤ 2

6 0
3 years ago
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The area of South America is approximately 1.78 × 107 square kilometers. Its population is approximately 3.50 × 108 people. What
stepladder [879]

Answer:

<u>A) 19.66 people/km²</u>

Step-by-step explanation:

<u>Given</u>

  • Area of the continent = 1.78 x 10⁷ km²
  • Population = 3.5 x 10⁸ people

<u>To Find</u>

  • Population Density

<u>Solving</u>

  • population density is the number of people per unit area
  • pd = people / area
  • pd = 3.5 x 10⁸ / 1.78 x 10⁷
  • pd = 1.966 x 10
  • pd = <u>19.66 people/km²</u>
6 0
2 years ago
Estes Park Corp. pays a constant $6.95 dividend on its stock. The company will maintain this dividend for the next 12 years and
Brrunno [24]
The present value of an annuity of n periodic payments of P at r% where payment is made annually is given by:

PV=P \left[\frac{1-(1+r)^{-n}}{r} \right]

Given that <span>Estes Park Corp. pays a constant dividend of P = $6.95 on its stock. The company will maintain this dividend for the next n = 12 years and will then cease paying dividends forever. If the required return on this stock is r = 10 % = 0.1.

Thus, the current share price is given by:

Current \ share \ price=6.95 \left[\frac{1-(1+0.1)^{-12}}{0.1} \right] \\  \\ =6.95\left[\frac{1-(1.1)^{-12}}{0.1} \right] =6.95\left(\frac{1-0.3186}{0.1} \right)=6.95\left(\frac{0.6814}{0.1} \right) \\  \\ =6.95(6.813)=\bold{\$47.36}

Therefore, the current share price is $47.36
</span>
5 0
3 years ago
A Bicycle has listed a price of $871.99 before tax. if the sales tax rate is 8.75% find the total cost of the bicycle with sales
rewona [7]

Answer:JJJJJJJJJJJJJJJJJJJJJJJJJJJJJJJHHHHHHHHH

CJJJJJJJJJJJJJJJJJJJJJJJJJJJJJJJJJJJJJJJJJJJJJJJJJJJJJJJJJJJJJJJJJJJJJJJJJJJJ

Step-by-stepJJJJJJJJJJJJJJJJJJJJJJJJJJJJJJ explanation:JJJJJJJJJJJJJJJJJJJJJJJJJJJJJJJJJJJJJJJJJJJJJJJJJJJJJJJJJJJJJJJJJJJJJJJJJJJJJJJJJJJJJJJJJJJJJJJJJJJJJJJJJJJJJJJJJJJJJJJJJJJJJJJJJJJJJJJJJJJJJJJJJJJJJJJJJJJJJJJJJJJJJJ

5 0
3 years ago
The coordinates of the point 3/10 of the way from A to B are
nikitadnepr [17]

Answer:

(0, -\frac{32}{13})

Step-by-step explanation:

If a point (x, y) that divides a line segment having extreme ends (x_1,y_1) and (x_2,y_2) into the ratio of m : n,

x = \frac{mx_2+nx_1}{m+n}

and y = \frac{my_2+ny_1}{m+n}

From the picture attached,

Extreme ends of a segment are A(-3, -5) and B(10, 6).

Let a point (x, y) divides this segment divides this segment in the ratio of 3 : 10,

x = \frac{3\times 10+10\times (-3)}{3+10}

  = 0

y = \frac{3(6)+10(-5)}{3+10}

  = \frac{18-50}{13}

  = -\frac{32}{13}

Therefore, (0,-\frac{32}{13}) is a point which divides AB in the ratio of 3 : 10.

8 0
3 years ago
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