A colony of insects grows exponentially from 100 to 146 in one week. How many DAYS does it take for the population to reach 1300?

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A colony of insects grows exponentially from 100 to 146 in one week. How many DAYS does it take for the population to reach 1300?

Mathematics
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At vero eos et accusamus et iusto odio dignissimos ducimus qui blanditiis praesentium voluptatum deleniti atque corrupti quos dolores et quas molestias excepturi sint occaecati cupiditate non provident, similique sunt in culpa qui officia deserunt mollitia animi, id est laborum et dolorum fuga. Et harum quidem rerum facilis est et expedita distinctio. Nam libero tempore, cum soluta nobis est eligendi optio cumque nihil impedit quo minus id quod maxime placeat facere possimus, omnis voluptas assumenda est, omnis dolor repellendus. Itaque earum rerum hic tenetur a sapiente delectus, ut aut reiciendis voluptatibus maiores alias consequatur aut perferendis doloribus asperiores repellat.

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146/100 = 1.46; so it inceases at 146% in 7 days eh....
or is that 46% :)
You do something similar with the ozone one let me just leave the formula since amistre can help you with the concept\[N_t = N_0(1.46)^{t/7}\]

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Other answers:

7 days = 1/2x{0} + x{0} = x{n+1} x{1} = 100(1.5) = 150 x{2} = 150(1.5) = ......is that what i was missing last time the 1?
...... good job yuki :)
Ok, so the equation should look like 1300= 100(1.46)^(t/7).....right?
yes
moving on, I should get to (log 13/log 1.46) = t/7.......right?
Which gives me 47.44, so the answer is c?
c is 47, sorry I forgot its not on here
remidia, since I don't know what the answer choices are I cannot say this by 100%, but it takes exactly 7*ln13/ln1.46 days to reach 1300. Which means that if it is any less than that you still haven't reached 1300. so, if there, by any chance, were two solutions 47 days or 48 days, make sure to pick 48 days, ok ?
Ok, thank you!

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