Answer:
Approximately 107years
Step-by-step explanation:
Given the population of Mathloversville modelled by the equation P=38e^0.095t where t is the number of years from now.
To find the time it will take the population to reach 1million from now, we will substitute P = 1,000,000 into the equation given
1,000,000 = 38e^0.095t
Dividing both sides by 38
1,000,000/38 = e^0.095t
Taking the ln of both sides
ln(1,000,000/38) = ln e^0.095t
ln26,315.79 = 0.095t
10.18 = 0.095t
t = 10.18/0.095
t = 107.16years
It will take approximately 107years for the population to reach 1million
Answer:
93x36
Step-by-step explanation:
1+1+2
In order to confirm which of the given above is an identity, what we are going to do is to check them each. By definition, an identity<span> is an equality relation A = B.
After checking each options, the answers that are considered as identities would be options C and D. So here is how we proved it. Let's take option C.
</span><span>cos^2(3x)-sin^2(3x)=cos(6x)
cos^2(3x)-sin^2(3x)=cos(2*3x)
cos^2(3x)-sin^2(3x)=cos(3x+3x)
cos^2(3x)-sin^2(3x)=cos(3x)cos(3x)-sin(3x)sin(3x)
cos^2(3x)-sin^2(3x)=cos^2(3x)-sin^2(3x)
</span>So based on this, we can conclude that <span>cos^2 3x-sin^2 3x=cos6x is an identity.
This is also the same process with option D.
Hope this answer helps.</span>
