Answer: I used to, but it got boring
Step-by-step explanation:
Yes initial amount is 2044 (in millions)
Since the function is from 2000 then you can set it up as
B(t)=2044*a^t
To solve for "a" use the second number given, 3846, and since this value is 5 years after 2000 t=5
so we plug in these values
3846=2044*a^5
we now solve for a
first, divide by 2044
3846/2044=a^5
next, we take the 5th root
<span>5sqrt(3846/2044) = a
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We have been given the expression to be 
Since we need to find the tangent at a point, we will have to find the derivative of 
as the slope of the tangent at a given point on the curve is always equal to value of the derivative at that point.
Thus, we have to find 
We will use the product rule of derivatives to find 
Thus, 
(using the product rule which states that 
)
Taking the common factors out we get:
Thus, 
at 
is given by:
=Slope of the tangent of y at x=4=
Thus, 
Now, the equation of the tangent line which passes through 
and has slope m is given by:
Thus, the equation of the tangent line which passes through 
and has the slope 185 is
Which can be simplified to 
Thus, 
This is the required equation of the tangent.
