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3 years ago

8

EB 11) Is this a valid argument?

2 answers:

Sergio039 [100]3 years ago

7 0

I see your text but i cannot see your picture try reuploading

tangare [24]3 years ago

7 0

Answer:

yes, this argument uses the law of syllogism.

Step-by-step explanation

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Nikolai has a jar filled with 120 marbles. he has 72 red marbles, 17 blue marbles, 13 green marbles, and 18 purple marbles. what

asambeis [7]

To find the probability of both of these occurring, you will multiply the probability of choosing a blue marble by the probability of choosing a purple marble (with no replacement after the first one).

Probability of choosing a blue marble: 17/120
Probability of choosing a purple marble: 18/119

17/120 x 18/119 = 3/140

You will have a 3/140 chance of both of these occurring.

4 0

3 years ago

When the effective interest rate is 9% per annum, what is the present value of a series of 50 annual payments that start at $100

ser-zykov [4K]

Answer:

$1,109.62

Step-by-step explanation:

Let's first compute the <em>future value FV.</em>

In order to see the rule of formation, let's see the value (in $) for the first few years

<u>End of year 0</u>

1,000

<u>End of year 1(capital + interest + new deposit)</u>

1,000*(1.09)+10

<u>End of year 2 (capital + interest + new deposit)</u>

(1,000*(1.09)+10)*1.09 +10 =

$\bf 1,000*(1.09)^2+10(1+1.09)$

<u>End of year 3 (capital + interest + new deposit)</u>

$\bf (1,000*(1.09)^2+10(1+1.09))(1.09)+10=\\1,000*(1.09)^3+10(1+1.09+1.09^2)$

and we can see that at the end of year 50, the future value is

$\bf FV=1,000*(1.09)^{50}+10(1+1.09+(1.09)^2+...+(1.09)^{49}$

The sum

$\bf 1+1.09+(1.09)^2+...+(1.09)^{49}$

is the <em>sum of a geometric sequence </em>with common ratio 1.09 and is equal to

$\bf \frac{(1.09)^{50}-1}{1.09-1}=815.08356$

and the future value is then

$\bf FV=1,000*(1.09)^{50}+10*815.08356=82,508.35564$

The <em>present value PV</em> is

$\bf PV=\frac{FV}{(1.09)^{50}}=\frac{82508.35564}{74.35572}=1,109.616829\approx \$1,109.62$

rounded to the nearest hundredth.

5 0

2 years ago

If you wanted to create a sidewalk from your front door to the street, how much cement would you need if your sidewalk were goin

jek_recluse [69]

It’s simple you just multiply all three numbers 20*3*4=240

6 0

2 years ago

Which expression is the prime factorization of 180X²Y? *

muminat

C, i dont know dont use my answer unless you know

8 0

2 years ago

At the movie theatre, child admission is $5.20 and adult admission is $8.60. On Sunday, 132 tickets were sold for a total sales

xxMikexx [17]

Answer:

60 tickets for children were sold

Step-by-step explanation:

Let x be the number of sold children's tickets and let y be the number of adult tickets sold, then we can pose the following equations.

$x + y = 132$ (i) Because 132 tickets were sold in total

$5.20x + 8.60y = 931.20$ (ii) because the total of $ obtained by sales was 931.20.

We must clear x. Then we substitute (i) in (ii)

$5.20x +8.60(132-x) = 931.20$

$5.20x + 1135.2 - 8.60x = 931.20$

$-3.4x = -204$

$x = 60$

60 tickets for children were sold

7 0

2 years ago

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