Answer:
Option (D).
Step-by-step explanation:
Initial population of the deer
= 4800
Decrease in the population of the deer after every 8 years = 
Decrease in population is an exponential process, so the expression representing population will be,

Where
is the population after 'x' slots of 8 years.
r = fraction of decrease in the population
x = 
By substituting the values of r and x in the expression,


Therefore, Sylvia should do few corrections in her expression.
(8) should be replaced by (
) and
should be replaced by
.
Option D. will be the answer.
<u>Answer:</u>
The range of the function y = 2cos x is -2 <y < 2 .
<u>Step-by-step explanation:</u>
We know that cos (0) = 1 and cos (π) = - 1 are the two extreme values which cos x assume when x ∈ R and it is also that cos (x) is a continuous periodic function with period 2π when x ∈ R ,
since ,
cos (x + 2π) = cos x
So, the range of the function y = 2cos x is -2 <y < 2 .
Answer:
Area = 27 cm²
Step-by-step explanation:
let L be the length of the rectangle
w the width
P the perimeter
A the area
<u>Formulas</u> :
P = 2×(L + w)
A = L × w
<u>We are Given</u> :
L = 3w
P = 2×(L + w)
⇔ 24 = 2×(3w + w)
⇔ 24 = 2×4w
⇔ 24 = 8w
⇔ w = 24/8 = 3
Then
L = 3w = 3×3 = 9
We obtain L = 9 and w = 3.
Then
A = L × w
= 9 × 3
= 27
After x years the population of a town is 3460*[(1.35)^x]