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2 votes
A tree grows in height by 21% per

year. it is 2m tall after one year.
After how many more years will the
tree be over 20m tall

User AGill
by
8.4k points

1 Answer

4 votes

Answer:

12.08 years

Explanation:

to overcome this problem we will have to use the exponential growth formula A = P(1+r)^t

where a is the final amount

where p is the initial amount

where r is the rate per year

where t is the number of years

we can say

20= 2(1+0.21)^t

solve the equation for t

20/2 = 2(1.21)^t/2

10 = 1.21^t

take the log of both sides we get that

t = 12.08 years

User Ardian
by
8.7k points