Answer:
The exponential growth model for the population of the Tallahassee metropolitan area is
.
Step-by-step explanation:
The exponential formula is

Where b is initial population, r is growth rate, (1+r) is growth factor and t is time (in years) after the initial year.
The population of the Tallahassee metropolitan area was 382,627 at the end of 2017. The growth rate is 2.78%.
Here the initial year is 2017 and rate is 0.0278


Graph of the equation is shown below. The x-axis represents the number of years after 2017 and y-axis represents the total population.
Difference between 2025 and 2017 is 8 years. Put t=8



Therefore the projected population in 2025 is 476479.
Answer:
The cost of producing the article is -3500 (Negative cost)
Step-by-step explanation:
The given parameters are
The ratio of the profit to material cost to production labor = 5:7:13
The amount of the material cost = 840 + Labor cost
Let the total cost = X
Therefore, we have;
The fraction of the total cost that is material cost = 7/(5 + 7 + 13) = 7/25
Therefore, the material cost = 7/25 × X
The fraction of the total cost that is labor cost = 13/(5 + 7 + 13) = 13/25
Therefore, the labor cost = 13/25 × X
However, the amount of the material cost = 840 + Labor cost, which gives;
7/25 × X = 13/25 × X + 840
7/25 × X - 13/25 × X = 840
-6/25 × X= 840
X = 840/(-6/25) = 840×(-25/6) = -3500
The cost of producing the article = -3500.
He sold one half of the pie because if you do it in your head split one half into 3 and get one sixth, then that slit in two is 1 twelfth so if he sold six pieces and six is one half of twelve then you get one half.
none of the above, -90 and 270 are the same position on the unit circle
(3,367/18,500)=0.182 which is <em>18.2%</em>