Answer:
112,547.095 million
Step-by-step explanation:
Data provided in the question
Population of a city in 2005 = 18,000
In the year 2010, the city population = 45,000
Now to find out the projected population for 2015 we use the exponential model
where
P(0) = Initial population
r = growth rate
t = time
e = natural log
So,
So
r ≈ 0.1833
Now
= 112,547.095 million
B, a rectangle is Always a parallelogram but a parallelogram is not always rectangular
Answer:
First we need to solve the linear equation for y because we need to get the slope. Once we have the slope we need to convert it to its negative reciprocal, this means to just change the sign of the slope and flip it. The negative reciprocal is always perpendicular to the original slope.
2y = - 6x + 8
y = (-6x/2) + 8/2
y = - 3x + 4
The current slope is -3 or -3/1
The negative reciprocal is 1/3
Step-by-step explanation:
sorry for the rough handwriting but that's that
∠1 ≅∠3 = 130º
1) Gathering the data, accordingly to what's been told we can write:
∠1 + ∠50º = 180º <em>Definition of two supplementary angles</em>
∠50 +∠3 = 180º
2) Then we can evaluate:
∠1 + ∠50º = 180º <em>Subtract ∠50º from both sides</em>
∠1 = 180º -50º
∠1 = 130º
∠50 +∠3 = 180º
∠3 = 180º-50º
∠3 = 130º
3) Hence ∠1 ≅∠3 = 130º because the definition of supplementary angles is the same.