Answer: the expected population of the city in 30 years is 5470781
Step-by-step explanation:
The population growth is exponential. The growth rate is exponential. We would apply the formula for exponential growth which is expressed as
A = P(1 + r)^t
Where
A represents the population after t years.
t represents the number of years.
P represents the initial population.
r represents rate of growth.
From the information given,
P = 3.5 × 10^6
r = 1.5% = 1.5/100 = 0.015
t = 30 years
Therefore,
A = 3.5 × 10^6(1 + 0.015)^30
A = 3.5 × 10^6(1.015)^30
A = 5470781
Answer:
-5/13
Step-by-step explanation:
sin theta = opp / hyp
sin theta = -12 /13
we can find the adj side by using the pythagorean theorem
adj^2 + opp ^2 = hyp^2
adj^2 +(-12)^2 = 13^2
adj^2 +144 =169
adj^2 = 169-144
adj^2 = 25
Taking the square root of each side
adj = ±5
We know that it has to be negative since it is in the third quad
adj = -5
cos theta = adj / hyp
cos theta = -5/13
Answer:60 male staff
Step-by-step explanation:
Ok, there are 96 female staff. The ratio of male to female is 3:4. We’re going to use a proportion which looks like this. 3/4 = x/96. X is a variable that takes the place of the male staff since we don’t know what it is. Now, the question is what do we do to get from 4 to 96. So 96/4 = 24, so 4 x 20 = 96. To keep this ratio equivalent whatever you do to the top you have to do to the bottom so 4 x 20 = 96 and 3 x 20 = 60. So there are 60 male staff.
Answer:
100
Step-by-step explanation:
16x + 19x + 5 = 180 {co-interior angles are supplementary}
Combine like terms;
35x + 5 = 180
Subtract 5 from both sides
35x = 180 - 5
35x = 175
Divide both sides by 35
x = 175/35
x = 5
19x + 5 = 19*5 + 5
= 95 + 5
= 100
Answer:
Step-by-step explanation:
<u>The scale factor is:</u>
Applied to the area we consider k² as the area is the product of two dimensions.
<u>Find the actual area:</u>
- 0.25 m² : (1/400)² =
- 0.25 m² * 160000 =
- 40000 m² =
- 40000 * 1/10000 hectares =
- 4 hectares