SOLUTION: Please help me to solve this question.
Question 1
Suppose a certain population grows according to the formula N = NoE^kt, where N is number of people (in millions) at time t (
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Question 1042662: Please help me to solve this question.
Question 1
Suppose a certain population grows according to the formula N = NoE^kt, where N is number of people (in millions) at time t (in years), No is the number of people (in millions) when an observation was first made, and k is a constant. Suppose the population increases from 2 million to 32 million in 80 years.
1.1 Use the given formula to determine the constant k (leave your answer in ln, if necessary).
1.2 Calculate the time in which the population will double.
Question 2
Suppose that an amount of $5000 is invested for 3 years, and the interest is compounded monthly at an annual rate of 10%. Write down a formula, simplified as far as possible, to represent the amount that the investment will be worth after 3 years.
Do not calculate the answer.
Thank for your help...
Found 3 solutions by Boreal, josgarithmetic, MathTherapy:
Answer by Boreal(15235) (Show Source): You can put this solution on YOUR website!
n=Noe^kt
80,000,000=2,000,000e^k*80
divide by 2000000
40=e^80t
ln of both sides
ln 40=80t
t=ln 40/80
-----------
doubling, n=2No
2No=Noe^kt
2=e^(ln40/80)*t
ln 2=[ln (40)/80]t
divide both sides by ln (40)/80. That inverts the denominator.
80[ln 2/ln40]=t
========
A=Ao{1+r/n}^nt
=5000{1+.10/12}^36
=5000(1.08333}^36
the exact answer is 5000{12.1/12)^36
Answer by josgarithmetic(39617) (Show Source): You can put this solution on YOUR website!
Question 1 looks like exponential growth, but you might want instead of the unknown E base, to use a more typical e base, approximately or close to 2.71828 something. Write a better shown equation format .
Your given data is population goes from 2 million to 32 million in 80 years.
Question first asks, find k.
OR
and you can use either of these to find a formula for k or for t.
TO get the value of k in question 1, make these substitutions after solving the formula for k:
.
Answer by MathTherapy(10552) (Show Source): You can put this solution on YOUR website!
Please help me to solve this question.
Question 1
Suppose a certain population grows according to the formula N = NoE^kt, where N is number of people (in millions) at time t (in years), No is the number of people (in millions) when an observation was first made, and k is a constant. Suppose the population increases from 2 million to 32 million in 80 years.
1.1 Use the given formula to determine the constant k (leave your answer in ln, if necessary).
1.2 Calculate the time in which the population will double.
Question 2
Suppose that an amount of $5000 is invested for 3 years, and the interest is compounded monthly at an annual rate of 10%. Write down a formula, simplified as far as possible, to represent the amount that the investment will be worth after 3 years.
Do not calculate the answer.
Thank for your help...
Population doubles in
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