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Oksi-84 [34.3K]
3 years ago
9

Country A has a growth rate of 3.4​% per year. The population is currently 4,118​,000, and the land area of Country A is 29​,000

,000,000 square yards. Assuming this growth rate continues and is​ exponential, after how long will there be one person for every square yard of​ land?
Mathematics
1 answer:
Eduardwww [97]3 years ago
7 0

Answer:

time period is 260.57 years

Step-by-step explanation:

given data

growth rate = 3.4 % = 0.034

population = 4118000

area  P = 29000000000 square yard

to find out

time period that one person for every square yard of​ land need

solution

we will apply here population growth formula that is

total population P  = initial population × e^{rt}    ..............1

here r is rate of growth and t is time period and

we consider here initial population is current population

so put value in equation 1 to get t

29000000000 = 4118000 × e^{0.034t}

take ln both side

ln 7042.25 = ln e^{0.034t}

8.8596 = 0.034 t

t = 260.57

so time period is 260.57 years

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