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MA_775_DIABLO [31]
3 years ago
6

What is the probability a King is chosen? Express your answer as a fraction, in simplest form.

Mathematics
1 answer:
Rama09 [41]3 years ago
5 0

Answer:

1/13

Step-by-step explanation:

In a deck of 52 cards, there are 4 kings

P(king) = number of kings / total cards

P (king) = 4/52

             = 1/13

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You deposit $10,000 in a money-market account that pays an annual interest rate of 4.4%. The interest is compounded quarterly. H
sergiy2304 [10]
Total = principal * (1 + rate/n)^n*years
where "n" is the number of compounding periods per year
Total = 10,000 * (1 + .044/4)^4*2
Total = 10,000 * (1<span>.011</span>)^8
<span><span>Total = 10,000 * 1.0914635699 </span>
</span><span><span>Total = </span> 10,914.64

</span> 
3 0
3 years ago
A 25-year, $1,000 par value bond has an 8.5% annual coupon. The bond currently sells for $875. If the yield to maturity remains
Whitepunk [10]

Given the current yield to maturity of the bond, the price of the bond five years for now is $883.10.

<h3>What is the price of the bond five years from now?</h3>

The first step is to determine the yield to maturity of the bond. The yield to maturity is the return on the bond if the bond is held to matuity.

Yield to matuity can be determined using a financial calculator:

Cash flow in year 0 = -875

Cash flow each year from year 1 to 25 = 85

Cash flow in year 25 = $1000

Yield to matuity = 9.86%

Future price of the bond: (coupon x future price factor) + [FV / (1 + YTM)^n)]

Future price factor = [1 - (1/YTM)^n] / YTM

= [1 - 1/0.0986^20] 0.0986 = 8.595555

[85 x 8.595555 ] + 152.478323 = $883.10

To learn more about yield to maturity, please check: brainly.com/question/26484024

4 0
2 years ago
An urn contains 5 red balls and 2 green balls. Two balls are drawn one after the other. What is the probability that the second
AleksAgata [21]

Answer:

<em>The probability that the second ball is red is 71%</em>

Step-by-step explanation:

<u>Probabilities</u>

We know there are 5 red balls and 2 green balls. Let's analyze what can happen when two balls are drawn in sequence (no reposition).

The first ball can be red (R) or green (G). The probability that it's red is computed by

\displaystyle P(R)=\frac{5}{7}

The probability is's green is computed by

\displaystyle P(G)=\frac{2}{7}

If we have drawn a red ball, there are only 4 of them out of 6 in the urn, so the probability to draw a second red ball is

\displaystyle P(RR)=\frac{5}{7}\cdot \frac{4}{6}=\frac{10}{21}

If we have drawn a green ball, there are still 5 red balls out of 6 in the urn, so the probability to draw a red ball now is

\displaystyle P(GR)=\frac{2}{7}\cdot \frac{5}{6}=\frac{5}{21}

The total probability of the second ball being red is

\displaystyle P(XR)=\frac{10}{21}+\frac{5}{21}=\frac{5}{7}=0.71

The probability that the second ball is red is 71%

7 0
3 years ago
Factorise x2-10x-24 plz help ​
Papessa [141]

Answer:

(х-4)(х-6)

Step-by-step explanation:

х¹= 4

х²=6

easy

7 0
3 years ago
Read 2 more answers
Do i need to reverse the inequality symbol when i add the same positive number to or subtract the same positive number from both
stira [4]
No, You only reverse the inequality symbol when you divide by a negative number.
6 0
3 years ago
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