£30 is divided between Sushil, Fiona & Pip so that Sushil gets twice as much as Fiona, and Fiona gets three times as much as Pip. How much does Sushil get?

£18

Step-by-step explanation:

Let Pip's share (p) =x

Fiona's share (f)=3p=3(x)

=3x

Sushil's share=2(f)

=2(3x)

=6x

x+3x+6x=£30

10x=£30

Divide both sides by 10

10x/10=£30/10

x=3

Pip get x= £3

Fiona get 3(x)=3(£3)=£9

Sushil get 6x=6(£3)=£18

k = 1

P(t) = (t + 20)²

Step-by-step explanation:

P' = k√P = k P⁰•⁵

To solve for k,

P' = 10 rabbits/month

P = 100 rabbits

10 = k √100

10 = 10k

k = 1

To solve for P(t)

P' = dP/dt

(dP/dt) = kP⁰•⁵

dP/P⁰•⁵ = k dt

P⁻⁰•⁵ dP = k dt

∫ P⁻⁰•⁵ dP = ∫ k dt

2P⁰•⁵ = kt + c

At t = 0, P = 100

2(100)⁰•⁵ = 0 + c

2 × 10 = c

c = 20

2P⁰•⁵ = kt + c

2P⁰•⁵ = kt + 20

Recall, k = 1

2P⁰•⁵ = t + 20

P⁰•⁵ = (t + 20)

P(t) = (t + 20)²