Des Moines’ population in 2005 was about 610 thousand, and had been growing by about 1.2% each year.
a) Write a recursive formula for the population of Des Moines
b) Write an explicit formula for the population of Des Moines
c) If this trend continues, what will Des Moines’ population be in 2017?
d) If this trend continues, when will Des Moines’ population hit 750 thousand?

(a) Recursive formula is

(b) Explicit formula is

(c) The population in 2017 will be 703876

(d) The population of 750, 000 will reach in 17 years and 4 months

Explanation:

Given:

Population in 2005 = 610,000

Rate of increase = 1.2%

(a) Recursive formula = ?

Let n be the number of years:

So, population increase in n years =

Thus, recursive formula is

(b) Explicit formula = ?

In one year, the population increase will be

Thus, the explicit formula is

(c)

Number of years between 2005 to 2017 = 12 years

So, population increase in 12 years is

P =

P = 703876

Thus, the population in 2017 will be 703876

(d)

When will the population hit 750,000

Time, t = ?

Thus, the population of 750, 000 will reach in 17 years and 4 months

45

step-by-step explanation:

1. sometimes

2.   never

3   .08c = 7.50+.05c   250 pages

step-by-step explanation:

1.   sometimes

the theoretical probability of rolling a 1 is 1/6.   perhaps you got really lucky and never rolled a 1   in those 60 times.   your experimental probability is 0.   or perhaps you rolled a 1   20 times.   your experimental probability is 20/60 is 1/3.     it really just depends on how you rolled in that experiment.

2.   never

the probability of the event occurring is 1.   that is being 100 % sure it will happen.   that is the maximum amount of confidence we have.

3.   no customer card cost:   .08 times number of pages

customer card cost:   7.50 + .05 times number of pages

we want to find when it costs the same amount, so we will set these equal

let c = number of pages

.08c = 7.50+.05c

subtract .05c from each side

.08c-.05c = 7.5+.05c-.05c

.03c=7.5

divide each side by .03

.03c/.03 = 7.5/03

c =250  

the cost is the same at 250 pages