Answer:
P(t) = 12e^1.3863k
Step-by-step explanation:
The general exponential equation is represented as;
P(t) = P0e^kt
P(t) is the population of the mice after t years
k is the constant
P0 is the initial population of the mice
t is the time in months
If after one month there are 48 population, then;
P(1) = P0e^k(1)
48 = P0e^k ...... 1
Also if after 2 months there are "192" mice, then;
192 = P0e^2k.... 2
Divide equation 2 by 1;
192/48 = P0e^2k/P0e^k
4 = e^2k-k
4 = e^k
Apply ln to both sides
ln4 = lne^k
k = ln4
k = 1.3863
Substitute e^k into equation 1 to get P0
From 1, 48 = P0e^k
48 = 4P0
P0 = 48/4
P0 = 12
Get the required equation by substituting k = 1.3863 and P0 = 12 into equation 1, we have;
P(t) = 12e^1.3863k
This gives the equation representing the scenario
Answer:
The answer is
Step-by-step explanation:
Plug in and solve the equation. We are trying to find the y-intercept:
We found the y-intercept, so now we plug it in it's right full spot in the formula.
Use Slader.com, Find the math book and look up the page. It will show you the answer and how to get it.
Answer:
a(n) = 13 - 2n
Step-by-step explanation:
The explicit formula variables are a(n) = a(1) + d (n - 1). The a(1) is your number you started out with, and the d is the common difference. From the recursive formula example, you see that your first number is 11 and your difference is -2.
1. Plug the numbers into the equation : a(n) = 11 - 2 (n - 1)
2. Distribute: a(n) = 11 - 2n + 2
3. Add like terms: a(n) = 13 - 2n
If you want to double check, you can plug 1 into n and see if you get 11. I did this, and I did so it should be correct. Hope this made sense! Have a great day :)
Shaded is 8.67
Circle A= pir^2
A= 3.14(4)(4)
A= 50.24
Hexagon
A= 1/2ap
1/2(4)(2sqrtof3)(6)
A= 41.569
50.24-41.569=8.671
