the height of a tree increases by 1/8 times each year if the present height of tree is 64 cm. therefore 2 years, what will be its height
Answers
Answer:
=> Present height = 64 cm .
=> Let growth = 1/8 = 0.125
=> Height after 1 St year = 64 + (64×1/8) = 72cm .
=> Height after 2nd year = 72 +(72 × 1/8) = 81 cm .
( we were not knowing frist year height when we find it so in second year we have + 72 and × it with 1/8).
Formula
=>Height after n years = h(1+g)^2
=>Height after 2 years = 64(1+1/8)^2
=>64(1.125)^2
=>64(1.265625) = 81 cm
Key concept
Height :- The measurement of someone or something from from head to foot or from base to top.
Answer:
Height after 2 years = 81cm
Step-by-step explanation:
We Have :-
Present height of tree = 64cm
Increase in height = 1/8 each year
To Find :-
Height After 2 years
Solution :-
Present height ( a ) = 64 cm
Let growth ( b ) = 1/8 = 0.125
Height after 1st year = 64+ (64*1/8) = 72 cm
Height after 2nd year = 72+(72*1/8) = 81 cm
Height after n years = a(1+b)ⁿ
Height after 2 years = 64(1+1/8)²
=64(1.125)²
=64(1.265625)
=81 cm