The population of a town is 12,000 and it grows at a rate of 5% per year. what will the population be in 4 years

After 4 years the population of the town will be 14,586.1

Step-by-step explanation:

12,000 x 5%=  600   > 600 + 12,000 = 12,600                  1 years = 12,600

12,000 x .05 = 600   ^

12,600 x 5% = 630   >  630 + 12,600 = 13,230                2 years = 13,230

12,600 x .05 = 630   ^

13,230 x 5% = 661.5   > 661.5 + 13,230 = 13,891.5        3 years = 13,891.5

13,230 x .05 = 661.5 ^

13,891.5 x 5% = 694.6 > 694.6 + 13,891.5 = 14,586.1     4 years = 14,586.1

13,891.5 x .05 = 694.6 ^

the solution of the equation is 2.23 ⇒ answer b

step-by-step explanation:

* lets revise the meaning of exponential function

- the form of the exponential function is y = ab^x, where a ≠ 0, b > 0 ,  

  b ≠ 1, and x is any real number

- it has a constant base b

- it has a variable exponent x

- to solve an exponential equation, take the log or ln of both sides,  

  and solve for the variable

* lets solve the problem

∵

- the base is 7 and the exponent is x

- insert ㏑ in both sides

∴

- use the rule

∴ x ㏑(7) = ㏑(77)

- to find x divide both sides by ㏑(7)

∴

* the solution of the equation is 2.23 to the nearest 2 decimal places