163k views
0 votes
a population of insects increases at a rate of 1.5% per day about how long will it take to double A)2.5 days b) 5.0 days c) 46.6 days or d) 66.7 days

User Cansu
by
8.6k points

2 Answers

7 votes
D) 66.7 days
Because .015 (1.5%) multiplied by 66.7 is equal to 1.0005 or approximately 100% which would be double the population.
User Michael Ressler
by
8.3k points
5 votes

We can use population formula


P(t)=P_0(1+r)^(t)

we are given

interest rate is 1.5% per day

so,


r=0.015

now, we can plug values


P(t)=P_0(1+0.015)^(t)


P(t)=P_0(1.015)^(t)

we are given

P(t)=2Po

we can plug it


2P_0=P_0(1.015)^(t)

we can solve for t


2=(1.015)^(t)


t=46.55

so,

number of days is 46.5..........Answer


User Lorz
by
8.5k points

No related questions found