P(t)=500(1+4t/(50+t^2 ))
P'(t) = 500 [(50+t^2).4 - 4t.2t]/(50+t^2)^2
by the quotient rule
500 (-4t^2 + 200)/(t^2 + 50)^2
Hence
P'(2) = 500 . (-16 + 200)/54^2 ~= 31.6
Answer:
The amount of change will be £7.99
Step-by-step explanation:
Here, we want to calculate the amount of change that Mehvish should get
1/2 kg carrots at 50 p per kg will be;
1/2 * 50 = 25 p
3 kg potatoes at 64 p per kg will be
3 * 64 = p 192
2 kg onions at 42 p per kg
2 * 42 p = 84 p
1 1/2 kg chicken at £6 per kg will be:
since £1 is 100 p
1.5 * 6 = £9 (9 * 100 p = 900p)
since £1 is 100 p
£20 will be;
20 * 100 = 2,000 p
So let us make the subtraction as follows;
2,000- 900 - 84-192 - 25 = 799 p
In pounds, this is divided by 100
we have this as 799/100 = £7.99
1. 1/3 for 14 3/4+ 1/6= 15 6/12 now 17 -15 6/12 =1 6/12 which is the same as 1 1/3
If you think about it, an octagon is made up of 8 triangles. So you first find the area of one triangle then multiply it by 8 for the total area:
A=1/2bh
A=1/2(9.9)(12)
A=59.4
59.4 x 8= 475.2
Therefore the total area for the octagon should be 475.2 units^2
Hope this helps !
