Question

2. There are 25,000 trees in a forest. If the target rate for growth in the number of trees
is 10% per year, what will their number be after 3 years?
​

Answer 1

Answer:

33275

Step-by-step explanation:

After 1 years:

No. of trees = 25000 + 10% of 25000

                    = 25000 + 2500

                    = 27500

After 2 years:

No. of trees = 27500 + 10% of 27500

                    = 27500 + 2750

                    = 30250

After 3 years:

No. of trees = 30250 + 10% of 30250

                    = 30250 + 3025

                    = 33275

Or directly, use:

No. of trees = 25000 x (1 + r)ⁿ

                    = 25000 x (1 + 10/100)³

                    = 33275

Answer 2

Given,

• There are 25000 trees in a forest.
• The rate for growth in Number of trees is 10% per year.

To Find,

• The Number of trees after 3 years.

Solution,

The Number of trees = 25000 trees

The rate of growth in Number of trees is 10% per year.

After First Year,

→ 10% of 25000 + 25000

→ 10/100 × 25000 + 25000

→ 2500 + 25000

→ 27500 trees

After Second Years,

→ 10% of 27500 + 27500

→ 10/100 × 27500 + 27500

→ 2750 + 27500

→ 30250 trees

After 3 Years,

→ 10% of 30250 + 30250

→ 10/100 × 30250 + 30250

→ 3025 + 30250

→ 33275 trees

Required Answer,

The Number of trees After 3 years is 33275 trees.