SOLUTION: ok, complete question is a gardener has been given the task to digging an area of 800 square meters. it is expected that he will dig 10 square meters on the first day and on e

Question 210039: ok, complete question is
a gardener has been given the task to digging an area of 800 square meters. it is expected that he will dig 10 square meters on the first day and on each successive day he will dig 1.2 times more than the area he dug on the previous day. find the number of days the gardener will take to complete the task?
Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
a gardener has been given the task to digging an area of 800 square meters.
it is expected that he will dig 10 square meters on the first day and on each
successive day he will dig 1.2 times more than the area he dug on the previous day.
find the number of days the gardener will take to complete the task?
:
Let x = no. of days to accomplish this:
:
10(1.2^x) = 800
;
divide both sides by 10
1.2^x =
1.2^x = 80
:
use logs
log(1.2^x) = log(80)
;
log equiv of exponents
x*log(1.2) = log(80)
:
.07918x = 1.90309
x =
x = 24 days to dig 800 sq/meters
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