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Mathematics

1 answer:

Alik [6]3 years ago

3 0

Input each points. (x,y) for each equation to find out if the system of equations are equivalent.

Point (-3,4) is a solution of this system of equations.

Point (-2,-6) isn't a solution of this system of equations.

Point (-4,3) is a solution of this system of equations.

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the largest of these five squares has side length 27 units, and each additional square's side length is 2/3 as large as the one

RoseWind [281]

The total area is 1289.41 units².

The total perimeter is 281.32 units.

<h3>What is the total area and perimeter?</h3>

The first step is to determine the side lengths of the other squares:

Length of the second square = 2/3 x 27 = 18
Length of the third square = 2/3 x18 = 12
Length of the fourth square = 2/3 x 12 = 8
Length of the fifth square = 2/3 x 8 = 5.33

Area of a square = length²

Perimeter of a square = 4 x length

Area of the first square = 27² = 729
Area of the second square = 18² = 324
Area of the first square = 12² = 144
Area of the first square = 8² = 64
Area of the first square = 5.33² = 28.41

Total area = sum of the areas of the 5 squares = 1289.41 units²

Perimeter of the first square = 4 x 27 = 108 units
Perimeter of the second square = 4 x 18 = 72
Perimeter of the third square = 4 x 12 = 48
Perimeter of the fourth square = 4 x 8 = 32
Perimeter of the fifth square = 4 x 5.33 = 21.32

Total perimeter = 281.32 units

To learn how a square, please check: brainly.com/question/9030544

#SPJ1

4 0

2 years ago

Question 2

choli [55]

%6 of the sixth graders are left handed

8 0

3 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 person's hourly pay rate, r, is found by dividing the total amount

marishachu [46]

Translating the words into formula, we have

$r = \dfrac{p}{w}$