A community for students.
Here's the question you clicked on:
 0 viewing
anonymous
 5 years ago
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?
A) 39 days
B) 43 days
C) 47 days
D) 51 days
E) 55 days
anonymous
 5 years ago
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? A) 39 days B) 43 days C) 47 days D) 51 days E) 55 days

This Question is Closed

amistre64
 5 years ago
Best ResponseYou've already chosen the best response.0x^7 = 46 x = 46^(1/7) right?

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0Correct.. can I ask how you got the first equation?

amistre64
 5 years ago
Best ResponseYou've already chosen the best response.0the first equationis the inital value then simply add the exponential growth to it

amistre64
 5 years ago
Best ResponseYou've already chosen the best response.0we know that it starts at 100 so.. 100 +..... add the exponential growth in at 7days 100 + x^7.....now that should equal 146 my exponential part my be in error, but its basically that

amistre64
 5 years ago
Best ResponseYou've already chosen the best response.0the exponent i believe is measured in time units... to we need to calibrate it for the base unit....is my reasoning for picking x^7

amistre64
 5 years ago
Best ResponseYou've already chosen the best response.0soo.... 100 + 46^(1/7)^d = 1300 ; where d is in days 46^(d/7) = 1200 d/7 log(46) = log(1200) d/7 = log(1200)/log(46) d = 7(log1200)/log(46)

amistre64
 5 years ago
Best ResponseYou've already chosen the best response.0d = 12.96 days if we do it that route...gotta adjust for my stupidity herelol...hold on

amistre64
 5 years ago
Best ResponseYou've already chosen the best response.0ack!!...thats it if i did it right; but apparently i messed up in the exponential department ;)

amistre64
 5 years ago
Best ResponseYou've already chosen the best response.0x{n+1} = ax{n} + b .... recurrsion formulas, the bane of my existence
Ask your own question
Sign UpFind more explanations on OpenStudy
Your question is ready. Sign up for free to start getting answers.
spraguer
(Moderator)
5
→ View Detailed Profile
is replying to Can someone tell me what button the professor is hitting...
23
 Teamwork 19 Teammate
 Problem Solving 19 Hero
 Engagement 19 Mad Hatter
 You have blocked this person.
 ✔ You're a fan Checking fan status...
Thanks for being so helpful in mathematics. If you are getting quality help, make sure you spread the word about OpenStudy.