$q,$

Country$-$X

$---$ Country$-Y$

$30$ years

$$1,811\mathrm{.}36$

$$1,$

Instructions: Modify the settings in the interactive tool as needed to answer the questions below.

Suppose country $x$ currently produces $$1000$ of goods and services per year with a constant growth rate of $2\mathrm{.}0\%$ per year. Country Y$\text{'}$s production is currently $$800$ with growth of $3\mathrm{.}0\%$ per year.

Using the rule of $72,$ how long does it take for country $x_{ij}^i$ production to double? $q,$ years

Using the rule of $72,$ how long does it take for country Y$\text{'}$s production to double? $$ years

After how long will the two countries have the same level of production? $$ years

Estimate the level of production when the two countries produce the same amount. $ $$