In 2010, the population of a town is 8500. the population decreases by 4.5% each year. write an equation to find the population of the town t years after 2010. in what year will the population of the town be 7000.

in 2014

Step-by-step explanation:

Given that in 2010,  the population of a town is 8500. the population decreases by 4.5% each year.

Hence equation for population would be

It is required to find out the year in which the population will be 7000.

Take log to get

t log 0.955 = log 0.8235

t=

=4.237 year

i.. in 2014 year the population will become 7000

b: |12 – x| ≤ 0.25

step-by-step explanation:      

let x be the possible lengths in inches, of the ribbons jaime cut.

we have been given that jaime is cutting strips of ribbon for a project. he tries to cut each piece to be 12 inches long, but sometimes he cuts it too long or too short by as much as 0.25 inch.  

we can represent this information in an inequality as:

by the definition of absolute value function we will get,

upon combining our inequalities we will get,

therefore, the inequality   describes all the possible lengths (x), in inches, of the ribbons jaime cut.

step-by-step explanation: