Population growth. port st. lucie, florida, had the united states fastest growth rate among cities with a population of 100,000 or more between 2003 and 2004. in 2003, the population was 103, 800 and increasing at a rate of 12% per year. in what year should the population reach 209,000 ? (let t = 0 correspond to 2003.) apply the formula n = n0 e^rt, where n represents the number of people. round your answer to one desimal place. t = .the tolerance is ±2%

In 2009

Step-by-step explanation:

Since, the formula of population after t years,

Where,

r = rate of growing per year,

Here, r = 12% = 0.12,

So, the population formula would be,

If the population is estimated since 2003,

i.e. for 2003, t = 0,

We have N = 103, 800 for 2003,

Thus, the function that shows the population after t years,

If N = 209,000,

Taking ln on both sides,

∵ 2003 + 6 = 2009

Hence, in 2009, the population should reach 209,000.

x = 17

step-by-step explanation:

in the given figure, two triangles are inscribed in a circle where ∠bae ≅ ∠dae which makes the side be and de equal so we can write it as:

3x - 24 = x + 10

solving this equation for x to get:

3x - x = 10 + 24

2x = 34

x = 34/2

x = 17

therefore, the value of x = 17.