Answer:
Step-by-step explanation:
initial population, n0 = 18000
rate of growth, r = 6% = 6/100 = 0.06
a) The function that models the population t years after 2013 would be
n(t) = 18000e0.06t
b)In 2018, the number of years, t = 2018 - 2013 = 5 years
The population would be
n(t) = 18000e0.06 × 5
n(t) = 18000e0.3
n(t) = 24297
c) n(t) = 24000
Therefore
24000 = 18000e0.06t
24000/18000 = e0.06t
1.33 = e0.06t
Take ln on both sides of the equation, it becomes
0.285 = 0.06t
t = 0.285/0.06
t = 4.75 years
Step-by-step explanation:
360 one gon 18 therefore 18*20=360
Irrational number: Any real number that cannot be written in fraction form is an irrational number.
Edit: 33% is not

, therefore my solution is wrong. The correct answer is 0.33 x 496, which is $163.68
The following is the original solution, which is incorrect.
33% =

. Multiply the bonus of $496 by

to get the solution of

, or 165 and

Therefore the solution is $165.33
The middle point of BC is (0,2), the midpoint of CD is (1,0)
to prove two lines are parallel, prove their slopes are the same.
slope of BD: m=rise/run=4/-2=-2 (the run is negative because to get to B from D on the grid, you have to move from right to left, then upward. If the horizontal move is from left to right, the run is positive)
slope of EG: m=rise/run=2/-1=-2
EG and BD have the same slope, so they are parallel.