The sequence is the Fibonacci sequence!
It works like this.
1+2=3
2+3=5
3+5=8
5+8=13
8+13=21
and so on.
For this case we have the following function:

Where,
A0: initial population
K: rate of change
t: time in years
Substituting values we have:

For the year 2015 we have:
Answer:
the predicted population in 2015 is:
19,807
Answer:
0.9940
Step-by-step explanation:
P(at least 1) = 1 − P(zero)
P(at least 1) = 1 − (1 − 0.64)⁵
P(at least 1) = 1 − (0.36)⁵
P(at least 1) = 0.9940
Answer:
a. $1251.5
b. $1254.64
c. 15.4 years
d. 30.56 years
Step-by-step explanation:
Given the information:
- Principle (P) = $800
- Interest = 4.5%
As we know, the formula to find the future value of Jackie deposit with interest is compounded monthly, quaterly, ..is
where:
- P = initial balance
- r = interest rate (decimal)
- n = number of times compounded annually
- t = time
Hence:
a. If the interest is compounded quarterly how much money will Jackie have in 10 years?
<=>
<=> A = $1251.5
d. If Jackie's money is compounded monthly, how long will it take her money to triple?
<=>
<=>
<=>
<=> t = 30.56 years
As we know, the formula to find the future value of Jackie deposit with interest is compounded continuously
A = P*
where e is the mathematical constant approximated as 2.7183.
b. If the interest is compounded continuously how much money will Jackie have in 10 years?
<=> A = 800*
<=> A = $1254.64
C. If Jackie's money is compounded continuously, how long will it take her money to double?
<=> P*
= 2*800
<=> 800*
= 1600
<=>
= 2
<=> t = 15.4 years