Can anyone help me with this question please!???!??

initial population : 89

after 9 years : 676

Step-by-step explanation:

no need for panic. this is just plain calculator mechanics. yes, we need to do some more complicated typing and use e, but it is still only typing.

the initial population is P(0). or t = 0.

simply when there were 0 years since the fish were added.

that is simple.

we get (as -0.42×0 = 0)

800 / (1 + 8e⁰) = 800 / (1+8×1) = 800 / 9 ≈ 89

now, after 9 years we have to calculate P(9). or t=9.

let's pre-calculate : -0.42×9 = -3.78

e to the power of -3.78 = 0.022822691...

8 times this is 0.182581531...

and plus 1 is 1.182581531...

800 / 1.182581531... = 676.486127 ≈ 676

d

step-by-step explanation:

by observation, we can see that the the graph is simply the graph of y = |x| that has been shifted 4 units downwards and 3 units to the left.

we can recognize in choice d :

y = | x + 3 |   - 4 (rewriting in general form)

y = | x - (- 3) |   - 4

the "-4 " term means   that the graph has been shifted by 4 units in the negative y direction

the "-3 " term means   that the graph has been shifted by 3 units in the negative x direction

this matches our observation of the graph described above.

distance covered by pamela in 9 l of fuel = 99km

let us apply unitary method here.

distance covered by pamela in 1 l of fuel =99/9 =11 km

now let us find distance covered by pamela if she has 12 l of fuel.

distance covered in 12 l = distance covered in 1 l of fuel * 12

we know that distance covered by here in 1 l is 11 km.

so distance covered in 12 l of fuel = 11*12 = 132 km.