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
Shawn: 14 1/2. In total, they earned $850 for the job. They put 15% of this amount into a joint savings account for future expenses. They then decided the rest of proportionally based on the number of hours worked.
All the other stuff, east/west, doesn't matter.
He drives 3 miles north, then later on he drives 4 more miles north:
3 + 4 = 7
The dog show is 7 miles north of his home.
Answer:
Most probably there should be 20 Boys.
x = 66° because both triangles are exactly equal to each other and angle CBA is opposite of x.
