Answer to Question #300872 in Algebra for kac

Question

Aaron wants to plant an orchard of apple trees. Based upon what he has studied, he can expect that 90% of the trees he plants will survive the first year. Of those that survive the first year, he can expect that 95% will survive permanently. If he is going to plant 300 trees this spring and another 500 the following spring, how many trees should he expect to have in his orchard permanently?

Answer 1

Aaron is going to plant 300 trees this spring.

He can expect that $300(90/100)=270$ trees he plants will survive the first year.

He can expect that $270(95/100)=256.5$ trees he plants will survive permanently.

Aaron is going to plant 500 trees the following spring.

He can expect that $500(90/100)=450$ trees he plants will survive the first year.

He can expect that $450(95/100)=427.5$ trees he plants will survive permanently.

$$256.5+427.5=684$$

He expect to have 684 trees in his orchard permanently.