Answer: In 2008 the population was 21,525,144
Step-by-step explanation:
You need to use the following formula for Exponential decay:

Where
is the initial population in the year 0,
is the rate of decay and
is the time.
In this case, you can identify that:

Therefore, substituting these values into the formula for Exponential decay, you get:

Then, in 2008 the population was 21,525,144
Answer:
6
Step-by-step explanation:
Total number of subsets is given as

But the subset of a set consists of the proper subsets, an empty set and the set itself.
Total number of subsets are 64
Therefore,


Comparing both sides

Answer:
The principal investment required to get a total amount of $ 1,000,000.00 from compound interest at a rate of 6% per year compounded 12 times per year over 45 years is $ 67,659.17.
Step-by-step explanation:
Given
- Accrued Amount A = $1000000
- Interest rate r = 6% = 0.06
- Compounded monthly n = 12
To determine:
Using the formula


substituting A = 1000000, r = 0.06, t = 45, and n = 12


$
Therefore, the principal investment required to get a total amount of $ 1,000,000.00 from compound interest at a rate of 6% per year compounded 12 times per year over 45 years is $ 67,659.17.
Answer:
(1/3)⁷
Step-by-step explanation:
negative exponents work like this:
x⁻²=(1/x)²
Apply this theory to this equation:
3⁻⁷=
(1/3)⁷
Answer:
1/9
Step-by-step explanation:
3^-2 = 1/3^2
1/3^2 = 1/9