Portland's population in 2007 was about 568 thousand, and had been growing by
about 1.1% each year.
a. Write a recursive formula for the population of Portland
b. Write an explicit formula for the population of Portland
c. If this trend continues, what will Portland's population be in 2016?
d. If this trend continues, when will Portland’s population reach 700 thousand?

Step-by-step explanation:

a. Given that the population starts at 568000 and grows at 1.1% each years.

-The recursive formula for the population takes the form:

Where:

is the population at the nth year.

is the rate of growth

is the population a year before the nth year.

Hence, the recursive formula is given by

b. The explicit formula of a population growth takes the form:

-Given that r=1.1% and the initial population is 568000

Hence, the explicit formula is

c. The population in 2016 can be determined using the explicit formula.

-We substitute the growth rate and initial population as follows:

Hence, the population in 2016 will be approximately 626,771

d. Given that the population after n years will be 700000.

#We substitute this value in the explicit formula to solve for n then add it to the initial year, 2007;

Hence, the population will get to 700000 after 19.10 years or in February the year 2027

7.25

step-by-step explanation:

we know that 7 equals to 7.0. we also know that 1/4=0.25. so we can add the two together and we get 7.25

the total estimated nappy use.=10,500,000

step-by-step explanation:

given that on an average the average baby uses 3528 napkins.

in a particular year 2014, the number of births were 299697 in new south wales.

rounding off the number of births to the nearest hundred thousand we have

no of birtsh = 300000

also rounding off the average usage to nearst thousand we get

average use of a baby = 3500

hence total number of nappy estimated to be used = 3500x300000

= 10,500,000

answer is 10,500,000 nappies