population of a small town of $10,800 2002 the population has decreased at a rate of 2.5% each year write an exponential function to model the situation then find the population of the town of 2020​

The population of the town of 2020 is approximately 6847

Step-by-step explanation:

The given population of the small town is 2002, P₀ = 10,800

The annual percentage decrease in the population, r = 2.5%

The date at which the new population,'P', is required = 2020

Therefore;

The number of years over which the population changes, 't', is given as follows;

t = 2020 - 2002 = 18

The number of years over which the population changes, t = 18 years

Given that the population is decreasing, we get;

The general formula for exponential decay is given as follows;

Therefore, the population, 'P', of the town of 2020 which is in t = 18 years, is given as follows;

Given that the population is given in whole numbers, we round down to the nearest whole number population of people as follows;

The population of the town of 2020, P ≈ 6847.

4 and 5)16.97 or 12√2

6)15.59 or 9√3

7)y = 15.59 or 9√3     x =27

8)17.80

"it's not the heat, it's the humidity".   that's a partly valid phrase you may have heard in the summer, but it's actually both.   the heat index, also known as the apparent temperature, is what the temperature feels like to the human body when relative humidity is combined with the air temperature.   this has important considerations for the human body's comfort.   when the body gets too hot, it begins to perspire or sweat to cool itself off.   if the perspiration is not able to evaporate, the body cannot regulate its temperature.   evaporation is a cooling process.   when perspiration is evaporated off the body, it effectively reduces the body's temperature.   when the atmospheric moisture content (i.e. relative humidity) is high, the rate of perspiration from the body decreases.   in other words, the human body feels warmer in humid conditions.   the opposite is true when the relative humidity decreases because the rate of perspiration increases.   the body actually feels cooler in arid conditions.   there is direct relationship between the air temperature and relative humidity and the heat index, meaning as the air temperature and relative humidity increase (decrease), the heat index increases (decreases).

step-by-step explanation: