Answered

The number of slugs in a garden t days from now is p, where
Po = 100
P1+1= 1.06pt
Work out the number of slugs in the garden 3 days from now.

Answer :

MRROYALGO

The number of slugs in the garden 3 days from now is 119

How to determine the number of slugs?

The function is given as:

Po = 100

[tex]P_{t+1} = 1.06P_t[/tex]

When t = 0, we have:

[tex]P_{0+1} = 1.06P_0[/tex]

[tex]P_1 = 1.06 * 100\\[/tex]

[tex]P_1 =106[/tex]

When t = 1, we have:

[tex]P_2 = 1.06 * 106[/tex]

[tex]P_2 = 112.36[/tex]

When t = 2, we have:

[tex]P_3 = 1.06 * 112.36[/tex]

[tex]P_3 = 119.1016[/tex]

Approximate

[tex]P_3 = 119[/tex]

Hence, the number of slugs in the garden 3 days from now is 119


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