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saul85 [17]
3 years ago
12

Two card are pulled from a normal deck of 52 cards, without replacement.

Mathematics
1 answer:
8090 [49]3 years ago
8 0

Answer:

The probability that both cards that are drawn are hearts is 1/17.

Step-by-Step-Explanation:

First off, know that there are 13 heart cards in the deck of 52 cards. Therefore, the chance of pulling a single heart card is 13/52. Let's say we do pull a heart card. Since there is no replacement for the heart card taken out of the deck, we now have 12 heart cards out of a deck of 51 cards. The chance of pulling out a heart card in now 12/51. To find the probability that both cards drawn out are hearts, multiply the two fractions together: (13/52)⋅(12/51)=156/2652=1/17.

<h2></h2><h2>So hence, your answer is 1/17</h2>

-----------------------------------——————---------------------------------------------------------

Thanks!

Answered by: FieryAnswererGT

#learnwithbrainly

Want to Thank me? JUST MARK ME BRAINLIEST! So simple!

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interest rate of 2.99% compounded monthly for a 4 year loan, find the regular monthly payments required to repay the loan.
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Using it's formula, considering a loan of $10,000, the regular monthly payments required to pay off the loan will be of $221.3.

<h3>What is the monthly payment formula?</h3>

It is given by:

A = P\frac{\frac{r}{12}\left(1 + \frac{r}{12}\right)^n}{\left(1 + \frac{r}{12}\right)^n - 1}

In which:

  • P is the initial amount.
  • r is the interest rate.
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In this problem, we have that the parameters are given as follows:

P = 10,000, r = 0.0299, n = 4 x 12 = 48.

Then:

r/12 = 0.0299/12 = 0.00249167.

Hence, the monthly payment will be given by:

A = P\frac{\frac{r}{12}\left(1 + \frac{r}{12}\right)^n}{\left(1 + \frac{r}{12}\right)^n - 1}

A = 10000\frac{0.00249167(1+0.00249167)^{48}}{(1+0.00249167)^{48} - 1}

A = 221.3.

More can be learned about the monthly payment formula at brainly.com/question/22846480

#SPJ1

8 0
2 years ago
Identify the constant of proportionality from the table.
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Answer:

Step-by-step explanation:

From the given information:

Let assume that the invested amount in the investment paying 8% interest is a

Now, since the total amount invested = $3000.

Then, the amount invested in the investment that will be paying 10% interest can be represented as:

= $(3000-a)

Income earned on $a that is being invested in 8% interest = $a × 8/100 = $0.08a

Income earned from $(3000-a)  in the 10% investment is:

= $(3000-a)× 10/100

= $(300 - 0.1a)

Since total income of the two investment = $290;

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0.08a + (300 - 0.1a) = 290

0.08a + 300 - 0.1a = 20-

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1.2424 as a fraction
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Answer:

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