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2 years ago

Find the weighted average of these values

2 answers:

7 0

I am pretty sure that the main thing that we should do to solve this task is to do this : $5(0.75)+6(0.15)+7(0.10)$ $3.75+0.9+0.7


5.35$ which is weighted average as it only can be found by adding <span>the products of each corresponding value. Hope everything is clear! Regards!</span>

mina [271]2 years ago

3 0

Answer:

Weighted Average = Σwx / Σw = 5.35 / 1 = 5.35

Step-by-step explanation:

The Formula for calculating the Weighted Average of a data set is;

Weighted Average = Σwx / Σw

Where

Σwx - Is the sum of the product of each weight, and its value

Σw - Is the sum of each weight

In this case,

Σwx = (5.00 * (75.0 / 100)) + (6.00 * (15.0 / 100)) + (7.00 * (10.0 / 100))

= (5.00 * 0.75) + (6 * 0.15) + (7 * 0.10)

= 3.75 + 0.90 + 0.70

= 5.35

Σw = (75.0 / 100) + (15.0 / 100) + (10.0 / 100)

= 0.75 + 0.15 + 0.1

= 1

Hence, Weighted Average = Σwx / Σw = 5.35 / 1 = 5.35

Read more about set of numbers at:

brainly.com/question/4735895

5 0

2 years ago

James wants to invest $12,000. He can invest the money at 7.2% simple interest for 30 yr or he can invest at 6.8% with interest

Sever21 [200]

Over time, compound interest at any rate will outperform simple interest. When the rates are nearly equal to start with, compound interest will be greater in very short order. Here, it takes less than 1 year for compound interest to give a larger account balance.

In 30 years, the simple interest will be

... I = P·r·t = 12,000·0.07·30 = 25,200

In 30 years, the compound interest will be

... I = P·(e^(rt) -1) = 12,000·(e^(.068·30) -1) ≈ 80,287.31

_____

6.8% compounded continuously results in more total interest

4 0

2 years ago

Nikki drew a rectangle with a perimeter of 18 units on a coordinate grid. Two of the vertices were (4, –3) and (–1, –3). What co

Talja [164]

Answer:

There are two possible solutions for the other two vertices of the rectangle:

(i) (4, 1), (-1, 1), (ii) (4, -7), (-1, -7)

Step-by-step explanation:

Geometrically speaking, the perimeter of a rectangle ( $p$ ) is:

$p = 2\cdot b + 2\cdot h$ (1)

Where:

$b$ - Base of the rectangle.

$h$ - Height of the rectangle.

Let suppose that the base of the rectangle is the line segment between (4, -3) and (-1, -3). The length of the base is calculated by Pythagorean Theorem:

$b = \sqrt{[(-1)-4]^{2}+[(-3)-(-3)]^{2}}$