SOLUTION: A plant is 2 feet high when planted. if grow 2.5 feet during the first year. each subsequent year the plant grows 3/4th of the previous year's growth. what is the maximum height of

Question 1140399: A plant is 2 feet high when planted. if grow 2.5 feet during the first year. each subsequent year the plant grows 3/4th of the previous year's growth. what is the maximum height of the plant.
Answer by Boreal(15235) (Show Source): You can put this solution on YOUR website!
It is 2 feet tall and grows 2.5 feet in the first year. The total height above the two feet will be
2.5+2.5*.75^1+2.5*.75^2+...
This sum is a/1-r, where a is 2.5 and r=0.75
the sum is 2.5/0.25 or 10 feet (the limit).
Added to the 2 feet when planted, it will be a maximum of 12 feet.
RELATED QUESTIONS
a tree grows 1.5 meters during the first year of planting. During each subsequent year,... (answered by josgarithmetic)

A 3-foot tree is planted, and it grows 4 feet per year. If another 3-foot tree is planted (answered by ankor@dixie-net.com)

Part A: A�tree is planted on a farm. The tree was 5 feet tall when it was planted. �The... (answered by solver91311)

A tree is 7 feet tall when it is planted write a formula for the height H(t) of the... (answered by math_tutor2020)

You buy 5 seeds with a guarantee that 80% of all seeds will bud. Assuming that the... (answered by stanbon,ewatrrr)

A pine tree is currently 9 feet tall and grows 6 inches every year. You plant a new... (answered by ankor@dixie-net.com,macston)

A person plans to plant 3 ferns hoping to grow them successfully. If success is... (answered by ewatrrr)

a pine sapling was 3 meters tall when it was first planted. in its first year, it grew 1... (answered by greenestamps)

A plant grows 1.67 cm in its first week. Each week it grows by 2% more than it did the... (answered by ikleyn)