$\therefore \: \frac{n}{2} = \frac{8}{2} = 4 \\ \\\&\:\: \frac{n}{2} + 1 = 4 + 1 = 5 \\ \\ hence \: \\ median = \frac{ {4}^{th} term + {5}^{th} term}{2} \\ \\ \therefore \: 49 = \frac{x - 1 + x + 1}{2} \\ \\ \therefore \: 49 = \frac{2x}{2} \\ \\ \therefore \: 49 = x \\ \\ \huge \purple { \boxed{\therefore \: x = 49}}$

4 0

3 years ago

A town has a population of 12000 and grows at 4% every year. To the nearest tenth of a year, how long will it be until the popul

ch4aika [34]

Answer:

11.0 years

Step-by-step explanation:

The exponential function describing the population growth can be written ...

population = (initial population)×(1 +growth rate)^years

If t represents the number of years, we can fill in the values to get ...

18500 = 12000×1.04^t

Dividing by 12000 gives ...

18500/12000 = 1.04^t

Taking logarithms, we have ...

log(18500/12000) = t×log(1.04)

t = log(185/120)/log(1.04) ≈ 11.037 ≈ 11.0

It will be 11.0 years until the population reaches 18,500.

7 0

3 years ago