The answer is 39
Hope this helps
The other 6 books can be arranged in 6 ways
= 6*5*4*3*2*1 = 720 ways answer
Answer going from left to right, top to bottom
47,77,20,31,78
84,60,72,11,47
60,96,99,11,19
14,39,76,93,77
Answer:
Sam will get £30 while Bethan will get £24.
Step-by-step explanation:
The total ratio shared by Sam and Bethan is 5+4 = 9
1 share ratio is the total amount involved divided by the total ratio
That is, £54/9 = £6
if 1 share ratio is £6,
Sam with 5 share ratio will get £6*5 = £30
while Bethan with ratio 4 wiill get £6*4 = £24
A growth rate equation has a general form of:
f(x) = P (1 + r)^x
Where,
P = present value
r = rate of growth
x = number of years
If we write the given equation on that form, it would be:
f(x) = 4 (1 + 3)^x
Therefore we can see that the population’s growth rate is
300% per year. To make this formula to an equivalent of three times a year (3x),
we have to find the new r.
f(x)_3 = 4 (1 + r)^3x
To calculate this, we must take note that the expression or
value of (1 + r)^x must be constant. Therefore equate this with 4^x.
(1 + r)^3x = (4)^x
Taking the logs of both sides:
3x log (1 + r) = x log 4
Cancelling x:
3 log (1 + r) = log 4
3 (1 + r) = 4
1 + r = 4/3
r = 0.33
Therefore the new growth rate is 0.33 or 33%. (ANSWER)
And, the new correct function is:
f(x)_3 = 4 (1 + 0.33)^3x
or
f(x)_3 = 4 (1.33)^3x (ANSWER)
