14 country f has a cbr of 31 and a cdr of 25. what is the countrys growth rate, assuming no immigration or emigration?
15 in the u.s, deaths were at 3,390,029 in 2019, but spiked 19% in 2020 due to covid. what was the cdr of the us in 2020? (you must memorize the population of the united states!)
16 country g is an island with no immigration or emigration. they have a total population of 3,476. last year, 450 babies were born and 311 people died. what is their population growth rate?
17 country h is a highly developed and sought - after place to live. they have quite a large population at 200,559,351 people. last year there were 2,677,900 births and 1,430,670 deaths. a total of 11,859,457 people immigrated and 2,014,003 people emigrated. what is the national growth rate?
18 country g is plagued by socio - political strife. their population has shrunken from 5,300,983 people to 2,749,883 people in just 3 years. what is their national growth rate expressed as a percent?
19 how long will it take country f to double?

Question

Accepted Answer

### Question 14
# Explanation:
## Step1: Calculate natural increase (CBR − CDR)
$ 31 - 25 = 6 $ (per 1000 people)
## Step2: Convert to percentage growth rate
Growth rate $ = \frac{6}{10} = 0.6\% $ (since per 1000, divide by 10 to get percentage).

# Answer:
0.6%

### Question 15
# Explanation:
## Step1: Calculate 2020 deaths (19% increase from 2019)
$ 3,390,029 \times 1.19 = 4,034,134.51 $ (approx 4,034,135).
## Step2: Recall US population (e.g., 331,449,281).
## Step3: Calculate CDR ($ \frac{\text{deaths}}{\text{population}} \times 1000 $)
$ \frac{4,034,135}{331,449,281} \times 1000 \approx 12.2 $.

# Answer:
Approximately 12.2 (per 1000)

### Question 16
# Explanation:
## Step1: Calculate natural increase (births − deaths)
$ 450 - 311 = 139 $.
## Step2: Calculate growth rate ($ \frac{\text{natural increase}}{\text{initial population}} \times 100 $)
$ \frac{139}{3476} \times 100 \approx 4.0\% $.

# Answer:
Approximately 4.0%

### Question 17
# Explanation:
## Step1: Calculate natural change (births − deaths)
$ 2,677,900 - 1,430,670 = 1,247,230 $.
## Step2: Calculate net migration (immigration − emigration)
$ 11,859,457 - 2,014,003 = 9,845,454 $.
## Step3: Total population change (natural + migration)
$ 1,247,230 + 9,845,454 = 11,092,684 $.
## Step4: Calculate growth rate ($ \frac{\text{total change}}{\text{initial population}} \times 100 $)
$ \frac{11,092,684}{200,559,351} \times 100 \approx 5.5\% $.

# Answer:
Approximately 5.5%

### Question 18
# Explanation:
## Step1: Calculate total population change
$ 2,749,883 - 5,300,983 = -2,551,100 $.
## Step2: Use compound growth formula $ P_f = P_i (1 + r)^n $
$ 2,749,883 = 5,300,983 (1 + r)^3 $.
## Step3: Solve for $ r $
$ \frac{2,749,883}{5,300,983} = (1 + r)^3 \implies 0.5187 = (1 + r)^3 $.
Take cube root: $ 1 + r \approx 0.803 \implies r \approx -0.197 $ (or -19.7%).

# Answer:
Approximately -19.7%

### Question 19
# Explanation:
## Step1: Recall Country F’s growth rate (0.6% from Q14).
## Step2: Apply Rule of 70 ($ T = \frac{70}{r} $)
$ T = \frac{70}{0.6} \approx 116.67 $ years.

# Answer:
Approximately 117 years (or 116.7 years)

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QUESTION IMAGE

Question

Explanation:

Question 14

Step1: Calculate natural increase (CBR − CDR)

Step2: Convert to percentage growth rate

Step1: Calculate 2020 deaths (19% increase from 2019)

Step2: Recall US population (e.g., 331,449,281).

Step3: Calculate CDR (\( \frac{\text{deaths}}{\text{population}} \times 1000 \))

Step1: Calculate natural increase (births − deaths)

Step2: Calculate growth rate (\( \frac{\text{natural increase}}{\text{initial population}} \times 100 \))

Answer:

Question 15