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2 years ago

The perimeter of a square park is 108m. find the length of the side of the park.

1 answer:

8 0

The length of the side of the park is 27m because the perimeter is 108m and a square has 4 sides that are even in length you simply need to divide the perimeter by 4.

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A company has two factories, factory A and factory B. The cost per item to produce q items in factory A is 200 + 3q q . The cost

Serhud [2]

Answer:

100

Step-by-step explanation:

200+3qq+400+q3q

200+3q²+400+3q²

3q²-3q²+400-200

q²=200

q²=200/2

q²=100

7 0

3 years ago

What kind of number is -2

makvit [3.9K]

Is a number negative

5 0

2 years ago

Step by step please ASAP

fenix001 [56]

Answer:

-2x^2 - 2

Step-by-step explanation:

(6x^2 + 3) - (5 + 8x^2)

-2x^2 + 3 - 5

-2x^2 - 2

3 0

2 years ago

A total of $12,000 is invested in two corporate bonds that pay 7.5% and 9% simple interest. The invest wants an annual interest

nlexa [21]

Answer:

$13,200

Step-by-step explanation:

You need to use the simple interest formula

I = P * r * t

I = Interest accrued

P = Principal amount invested

r = Interest rate you need to divide by 100 to get it in decimal form

t = time, in years if you are given a partial year, divide the months by 12

P = $12,000

r = 7.5% = .075

t = 1

But, because we want I to equal $990 then I is

I = $990

So we ignore our P and instead solve for the P that will give us the desired result.

I = P * r * t

$990 = P * .075 * 1

$990 = P.075 Divide each side by .075

$990/.075 = P.075/.075

$990/.075 = P

$13,200 = P

So, to earn an annual interest income of $990, $13,200 will have to be invested in the 7.5% bond.

6 0

2 years ago

Which of the following is the standard equation of the ellipse with vertices at (1,0) and (27,0) and an eccentricity of 5/13?

Dovator [93]

The equation of the elipse is given by:

$\frac{(x - 14)^2}{169} + \frac{y^2}{144} = 1$

The equation of an elipse of center $(x_0, y_0)$ is given by:

$\frac{(x - x_0)^2}{a^2} + \frac{(y - y_0)^2}{b^2} = 0$

Values a and b are found according to the <u>vertices and the eccentricity</u>.

It has vertices at (1,0) and (27,0), thus:

$x_0 = \frac{27 + 1}{2} = 14$

$y_0 = \frac{0 + 0}{2} = 0$

$a = \frac{27 - 1}{2} = 13$

$a^2 = 169$

It has eccentricity of $\frac{5}{13}$ , thus:

$\frac{5}{13} = \frac{c}{a}$

$\frac{5}{13} = \frac{c}{13}$

$c = 13$

Thus, b is given according to the following equation:

$c^2 = a^2 - b^2$

$b^2 = a^2 - c^2$

$b^2 = 169 - 25$

$b = \sqrt{144}$

$b = 12$

The equation of the elipse is:

$\frac{(x - 14)^2}{169} + \frac{y^2}{144} = 1$

A similar problem is given at brainly.com/question/21405803

3 0

2 years ago