Answer:
The probability of the spinner landing on A is 0.1111.
Step-by-step explanation:
The possible outcomes of a board game is that it can lead on any three of the regions, A, B and C.
The probability of all the outcomes of an event sums up to be 1.
According to the provided information:
P (B) = 3 P (A)
P (C) = 5 P (A)
Compute the probability of the spinner landing on A as follows:
Thus, the probability of the spinner landing on A is 0.1111.
Use the compound amount formula:
A = P(1+r)^t
Here, A = £2000 (1+0.03)^2 = <span>£2121.80 (answer)</span>
Answer:
The sequence diverges.
Step-by-step explanation:
A sequence 
converges when 
is a real number.
In this question, the sequence given is:
The cosine is always going to be between -1 and 1, so for the convergence of the sequence, we look it as: 
. So
Since the limit is not a real number, the sequence diverges.
Answer:
The hot dog are $2.63
Step-by-step explanation:
Hot Dogs = H
Drinks = D
2H + 2D = 4
Divide both sides by 2
H + D = 2
Subtract D from either side
H = 2 -D
3H + D = 4.50
Plug in 2 - D for H
3(2- D ) + D = 4.50
6 - 3D + D = 4.50
6 - 4D = 4.50
Add 6 to either side
-4D = 10.50
Divide either side by -4
D = -2 . 625
Answer:
937.5 packs of apples
Step-by-step explanation:
Note that:
100p = £1
80p = x
Cross Multiply
100x = 80p × £1
x = 80/100
x = £0.8
Jay sells 10 packs of apples for 80p.
Hence:
£0.8 = 10 packs of apples
£75 = x
Cross Multiply
£0.8 × x = £75 × 10 Packs
x = £75 × 10 Packs/£0.8
x = 937.5
Therefore, to make £75 at the end of the year, he has to sell 937.5 packs of apples
