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3 years ago

Using sigma notation write the geographic series: 6+12+24+48+96

Mathematics

1 answer:

Alika [10]3 years ago

4 0

Answer:

$\sum_{n=1}^{5} 6(2^{n-1})$

Step-by-step explanation:

6 + 12 + 24 + 48 + 96 =

= 6 + 6 * 2 + 6 * 4 + 6 * 8 + 6 * 16

= 6 + 6 * 2^2 + 6 * 2^2 + 6 * 2^3 + 6 * 2 * 4

= 6 * 2^(n - 1)

$\sum_{n=1}^{5} 6(2^{n-1})$

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Suppose you paid 411⁄8 for 72 shares of Buzz stock and sold them at 491⁄4. The total brokerage fee was 1⁄8 dollar per share and

Alex777 [14]

A percentage is a way to describe a part of a whole. The amount of your profit is $29.86. The percent of profit, based on your investment is 58.12%.

<h3>What are Percentages?</h3>

A percentage is a way to describe a part of a whole. such as the fraction ¼ can be described as 0.25 which is equal to 25%.

To convert a fraction to a percentage, convert the fraction to decimal form and then multiply by 100 with the '%' symbol.

The cost of buying 72 shares is $(411/8) = $51.375

The cost of selling 72 shares is $(491/4) = $122.75

The total brokerage fees = $(1/8 × 72) = $9

All other charges amounted = $32.52

The profit is,

Profit = $122.75 - $51.375 - $9 - $32.52

= $29.855 ≈ $29.86

Hence, the amount of your profit is $29.86.

B.) The percent of profit, is based on your investment.

Since the investment is the cost of purchasing the share, therefore, the percent of profit, based on your investment can be written as,

Profit % = $29.86 /$51.375 × 100% = 58.12%

hence, The percent of profit, based on your investment is 58.12%.

Learn more about Percentages:

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2 years ago

Miguel measures 5kg of rice. One kilogram is approximately equal to 2.2 pounds. Which measurement is closest to the number of po

Angelina_Jolie [31]

Well since 1kg = 2.2 pounds and there are 5kg, 2.2 * 5 = 11

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3 years ago

How can you determine if a relation is a function?

Montano1993 [528]

Answer:

cause none of the x's will repeat

Step-by-step explanation:

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3 years ago

3 plus 27 divided by (4 plus 5) Find the sum 1/3 plus 2/5

dezoksy [38]

Answer:

4.) 6

5.) $\frac{11}{15}$

Step-by-step explanation:

PEMDAS

Parenthesis, Exponents, Multiplication, Division, Adition, Subtraction.

3 + 27 ÷ ( 4 + 5 )

Do the parenthesis first ( 4 + 5 )

3 + 27 ÷ 9

Do the division next ( 27 ÷ 9)

3 + 3

Now addition.....( 3 + 3)

__________________________________________________________

$\frac{1}{3} + \frac{2}{5}$

In order to find the sum between these 2 fractions, we need to find a common denominator, and in this case, it can be 15...

$\frac{1 * 5}{3 * 5} = \frac{5}{15}$

$\frac{2 * 3}{5 * 3} = \frac{6}{15}$

Now that we have a common denominator, we can add them up...

$\frac{5}{15} + \frac{6}{15} =\frac{11}{15} \\\\\frac{11}{15}$

$\frac{11}{15}$ is ur answer.

Hope this helped!

Have a supercalifragilisticexpialidocious day!

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3 years ago

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Zarrin [17]

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