Question

1) Please write clearly.

Country A has a growth rate of 3.2% per year. The population is currently 5,147,000, and the land area of Country A is 36,000,000,000 square yards. Assuming this growth rate continues and is exponential, after how long will there be one person for every square yard of land? This will happen in year(s). (Round to the nearest integer.)

Answer 1

Q If there be one person for every square yard then Total population became 36 000000000 So The formula Plt) = Aert 0 P(1) - Population became after 7 years. A = current population - 5147000 R = Rate of growth per year. 3.27. 3.2 0.032. 100 in year became population one person per square yard. t= time taking So from o 36 000000000 0.032 t 5147000 e 0.0324. e 36000000000 5147000 e 0.0322 36000000 5147 we get faking loge both side 0.032t Togeo 36000000 5147 0.0324 logela loge 36 000000 5147 0.0327 loge 36000000 5147

so t = logo 5147 36000000 5147 e 0.032 ta 8.8528602 0.032 + t = 276.65 t = 277 ( Fake nearest whole year) Ansi Aher 277 years there be one person bor every Square yard ob Jand.
Ans: After 277 years there be one person for every square yard of land....