Answer:
We can now write this is a function of time in years leading to
f
(
x
)
=
200
(
.94
)
x
f
(
5
)
≈
147
Explanation:
Firs you should consider that if its exponential then it has some form similar to
3
x
. Where we have some known part (3) and the unknown part (
x
) that we are trying to find out. Mathematically we can say it has the form
a
x
. In this case we know what the
a
is and that is the entire population that was given to us. We know over time it will change but why are we even using the exponential model.
Well it turns out that if you multiply some value over and over again it has this form. Example we multiply
2
⋅
2
⋅
2
⋅
2
=
2
4
. So if something doubled over time then this is what would happen.
Now the problem is that it will continue to decrease at the same rate leading to
a
⋅
(
.94
)
because only
94
%
of the population remains each year. After two years
a
⋅
(
.94
)
⋅
(
.94
)
. We can now write this is a function of time in years leading to
f
(
x
)
=
200
⋅
(
.94
)
x
f
(
5
)
≈
147
Step-by-step explanation:
you can use long division to do this:-
a + 3 ) a^2 + 2a + 3
= a - 1 remainder 6 or you can write it as a - 1 + 6 / (a + 3)
The value of y would be C) 38 degrees because if the floor and the top of the stair are parallel, then that makes the diagonal line a transversal, therefore the 38 degree angle and y are alternate interior angles.
The value of csc theta is 
<h3>How to determine the value</h3>
It is important to note that the ratio for cot is given as;
Cot theta = adjacent/opposite
cosec theta = hypotenuse/opposite
If cot theta = 3/2, then
Adjacent = 3
Opposite = 2
Using Pythagoras theorem, we have
Hypotenuse square = opposite + adjacent square



Cosec theta = 
Thus, the value of csc theta is 
Learn more about trigonometric ratio here:
brainly.com/question/13276558
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All you’re doing is adding 14 to each
1+14=15
15+14=29
29+14=42
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