SOLUTION: The population of a colony of mosquitoes obeys the law of uninhibited growth. If there are 1000 mosquitoes initially and there are 1400 after 1​ day, what is the size of the

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Question 1089272: The population of a colony of mosquitoes obeys the law of uninhibited growth. If there are 1000 mosquitoes initially and there are 1400 after 1​ day, what is the size of the colony after 44 ​days? How long is it until there are 90,000 ​mosquitoes?
What is the size of the colony after 4 ​days?  
Approximately __3842____ mosquitoes.
​(Do not round until the final answer. Then round to the nearest whole number as​ needed.)
How long is it until 90,000 mosquitoes are in the​ colony?
________ days.  
​(Do not round until the final answer. Then round to the nearest tenth as​ needed.)
I got the first but I need help with the second answer
Answer by josgarithmetic(39614) About Me  (Show Source):
You can put this solution on YOUR website!
y=p%2Ab%5Ex
y, population
p, initial population
x, time in days
b, base related to growth rate


1.4=1%2Ab%5E1
b=1.4

MODEL: y=p%2A%281.4%29%5Ex



The Second Question:
system%28x=what%2C+y=90000%2Cp=1000%29
1000%2A%281.4%29%5Ex=90000
1.4%5Ex=90
log%28%281.4%5Ex%29%29=log%28%2890%29%29
x%2Alog%28%281.4%29%29=log%28%2890%29%29
x=log%28%2890%29%29%2Flog%28%281.4%29%29

x=13.373

x=13
to nearest whole number of days