Country a has a growth rate of 2.2% per year. the population is currently 5,667,000, and the land area of country a is 31,000,000,000 square yards. assuming this growth rate continues and is exponential, after how long will there be one person for every square yard of land?

It will be 290 years until there be one person for every square yard of land.

Step-by-step explanation:

We are looking for when the country's population is equivalent to its area in square yards: 31,000,000,000.

Write an equation for the situation: (Trickiest part)

p(x) = (5,667,000)(1 + 0.022)ˣ   <= Can modify compound interest equation

31,000,000,000 = (5,667,000)(1 .022ˣ)

Started rounding off numbers

547.056  = 1 .022ˣ   <=

Solve using log.

x = 2.738 / 0.00945  <= log(547.056) / log(1.022)

x = 289.7  <= Round up because rate is annual. Before the 290th year, the population is less than the number of square yards.

x = 290

Total amount with annual compound interest equation applied to this problem:

 (Principle is starting investment)

Population = (Starting population)(1 + growth rate)^(time)

true !

step-by-step explanation:

hiking down a winding trail.

step-by-step explanation: