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miskamm [114]
3 years ago
6

£3000 is invested at 4% compound interest per annum. What is the value of the investment after 3 years?

Mathematics
1 answer:
djverab [1.8K]3 years ago
4 0
£3000 x 0.4 to the power of 3= £192
£192 + £3000 = £3192
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Alex and bob are playing 5 chess games. Alex is 3 times more likely to win than bob. What is the probability that both of them w
givi [52]

Answer:

12.2%

Step-by-step explanation:

Lets firstly find out the probabilities for Alex and Bob. We know that the prb that Alex wins is 3 times the prob for Bob, so:

P(A) = 3P(B)

And, as these values are probabilities they must sum 1:

P(A) + P(B) = 1

Replacing the first equation in the second:

3P(B) + P(B) = 1

4P(B) = 1

Dividing both sided by 4:

4P(B)/4 = 1/4

P(B) =1/4

So, the probability for Bob is 1/4. Then the probability for Alex is 3*1/4 = 3/4

Now we have to find the probability that both win at least two games. Lets think about the possible combination of cases. As they play 5 games and both have to win at least to there is a remaining game that cane variate, this is, can be won by Alex or Bob. So, we can have:

AABBB

AABBA

Where A is "Alex win" and B is "Bob win" (here we do not pay attention to the order).

Thus, we have to find the probability that Alex wins 3 games and Bob 2 games, and the probability that Alex wins 2 games and Bob 3 games. As the games are independent, i.e., the result of one games does not affect the followings we can just multiply the probabilities:

P(3A and 2B) = (3/4)*(3/4)*(3/4)*(1/4)*(1/4) = 0.42*0.06 = 0.026

P(2A and 3B) = (3/4)*(3/4)*(1/4)*(1/4)*(1/4) = 0.56*0.016 = 0.096

So,

P (at least 2) = P(3A and 2B) + P(2A and 3B) = 0.026 + 0.096 = 0.122 = 12.2%

7 0
3 years ago
If K = {(x, y) | x - y = 5}, is Set K a function?
igomit [66]
Yes it is young master
6 0
3 years ago
Read 2 more answers
Can somebody please help me !!!!!!!!!47$4&
Andrews [41]

Answer:

30 celsius

Step-by-step explanation:

(86°F − 32) × 5/9 = 30°C

5 0
2 years ago
Read 2 more answers
Which of the following are the zeros of the function y= 3(x-a)(x+b) in terms of a and b? ​
frosja888 [35]

The correct answer is option 2.

3 = 0

x - a = 0

x = a

x + b = 0

x = -b

We do not multiply any of these values by 3 because in a way, 3 is acting as another "zero" of the equation. Though, as shown above, it does not equal 0, it still does not apply to any of the other equations solved above.

Hope this helps!! :)

7 0
3 years ago
Anyone know the answer to this
Vesna [10]

Answer:

Part A:

- angle ACB= 60° (ABC equilateral triangle.)

- Angle ECD=EDC= (180°-32°)/2= 148/2= 74° (sum of angles in a triangle is equal to 180, and triangle ECD is isosceles since it's given that CE=DE.

- x= 180°-(60°+74°)

   = 180°-134°

   = 46°

x= 46°

Part B:

120°

3 0
2 years ago
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