Answer:
Step-by-step explanation:
The exponential growth function compounded continuously is equal to
where
A is the final population
P is the initial population
r is the rate of growth in decimal
t is Number of years
e is the mathematical constant number
we have
substitute in the function above
simplify
Take natural log of both sides
![ln(4)=ln[(e)^{0.09t}]](https://tex.z-dn.net/?f=ln%284%29%3Dln%5B%28e%29%5E%7B0.09t%7D%5D)
Answer:16.7
Step-by-step explanation:
Answer:
g(-3) = -4
Step-by-step explanation:
g(-3) = 2(-3) + 2
g(-3) = -6 +2
g(-3) = -4
1) Set up an equation for the total, with T representing Trevor and M representing Marissa:
T + M = 26
2) Use the provided information related Marissa's t-shirts to Trevor's to solve for one variable at a time (in this case, T):
M = T-6
3) Substitute M with this equation into the initial, first equation:
T + (T-6) = 26
4) Combine like terms and isolate T:
T+T = 26 + 6
2T = 32
T = 16
5) Therefore, you now know that Trevor has 16 t-shirts. To find the number of t-shirts that Marissa has, simply plug in this amount for T into the equation that was already set up for M:
M = T - 6
M = 16 - 6
M = 10
Therefore, Trevor has 16 t-shirts and Marissa has 10 t-shirts.
Hope this helps, and don't forget to mark my answer as the Brainliest! :)
We can always split a regular polygon with 
sides into triangles, whose base is the side of the polygon and whose height is the apothem of the polygon. So, the sum of the areas of all these triangles is
where is the number of sides, 
is the side length, and 
is the apothem length.
So, you just need to plug you values in: in your case, you have 
So, the formula becomes
