Answer:
P(t) = 1000e^(0.01155)t
Step-by-step explanation:
Let the population of barangay be expressed according to the exponential formula;
P(t) = P0e^kt
P(t) is the population of the country after t years
P0 is the initial population
t is the time
If barangay has 1000 initially, this means that P0 = 1000
If the population doubles after 60years then;
at t = 60, P(t) = 2P0
Substitute into the formula
2P0 = P0e^k(60)
2 = e^60k
Apply ln to both sides
ln2 = lne^60k
ln2 = 60k
k = ln2/60
k = 0.01155
Substitute k = 0.01155 and P0 into the expression
P(t) = 1000e^(0.01155)t
Hence an exponential model for barangay's population is
P(t) = 1000e^(0.01155)t
The answer would be that Brook measured the distance between L and M
Angle 4 equals 34 degrees since angle 2 and 4 are opposite angles and opposite angles are congruent
Answer:
SD = 7588.09
Step-by-step explanation:
Check the distribution table attached to for the step by step solution:
The formula for the mean, 

The variance , 

Standard Deviation,

SD = 7588.09
<span>Given the question "If 9i is a root of the polynomial function f(x), which of the following must also be a root of f(x)?" The correct answer is -9i.
Given a polynomial with a complex root, then the conjugate of the complex root must also be a root to that polynomial function.
The conjugate of a complex number is the number with equal real part and imaginary part but with the sign between the real part and the imaginary part opposite. For example, the complex conjugate of 3 + 4i is 3 − 4i.
Therefore, given that 9i is a root to a polynomial function f(x), the conjugate of 9i = -9i will also be a root to the equation.</span>