Answer:
RS 44,000
Step-by-step explanation:
The compound interest formula is FV = PV(1 + r)ⁿ. Where FV = Future value, PV = present value, r = rate and n = no of years.
Since Purnima loans RS 100,000, PV = 100,000. Which is the amount she lends to her friend. She lends to her friend at a rate of 10% compound half yearly which equals r = 10% ÷ 1/2 year = 20% per year = 0.2. Since she lends her friend for two years, n = 2.
So, FV = PV(1 + r)ⁿ = 100,000(1 + 0.2)² = 100,000(1.2)² = 144,000
So, her profit is FV - PV = 144,000 - 100,000 = RS 44,000
Answer:
2,973
Step-by-step explanation:
The black bear population B(t), in the park is modeled by the following function:

Where t is the time(in years) elapsed since the beginning of the study.
We want to determine the black bear population in 25 years time, t=25.

There will be 2,973 black bears in 25 years time.
Answer: 
Step-by-step explanation:
We know that:

Where "d" is distance, "r" is rate and "t" is time.
Solved for the time "t":

The first step is to convert the distance from miles to feet.
Since
, we get:

Knowing that:

We can substitute values into
in order to find the time in seconds:

Since:

The time in minutes is:

A = {1, 2, 5, 6, 8}
{1} U {2, 5, 6, 8}
{2} U {1, 5, 6, 8}
{5} U {1, 2, 6, 8}
{6} U {1, 2, 5, 8}
{8} U {1, 2, 5, 6}
{1, 2} U {5, 6, 8}
{1, 5} U {2, 6, 8}
{1, 6} U {2, 5, 8}
{1, 8} U {2, 5, 6}
{1, 2, 5} U {6, 8}
{1, 2, 6} U {5, 8}
{1, 2, 8} U {5, 6}
{1, 5, 6} U {2, 8}
{1, 5, 8} U {2, 6}
{1, 6, 8} U {2, 5}
The answer is 15 distinct pairs of disjoint non-empty subsets.