All triangles are 30-60-90, therefore the short legs (2) are half as much as the hypotenuse. Therefore the hypotenuse is 4. Because its a rhombus, all sides are congruent, so you have the length and width and can multiply them to get 16 square units.
The formula to be used here is:
F = P(1+i)ⁿ
where
P = 40000
n = 6 1/4 years
Let's find i first which has to be converted to compounded annually.
i = (1 + r/m)^m - 1
where m = 4 because there are 4 quarters in 1 yr; and r is the given 0.14.
i = (1 + 0.14/4)⁴ - 1 = 0.1475
Thus,
F = (40000)(1+0.1475)^(6 1/4)
<em>F = $94,517.96</em>
Answer:

Step-by-step explanation:
Given that the Martian Colonies elect their government through a lottery. There are 100,000 people living on Mars
every year, a council of 99 co-equal leaders is randomly selected from the population.
Since these are members, order of selection of not important
So combinations woul dbe used here.
Total number of persons avaiiable = 100,000
No of persons to be selected = 999
No of ways this can be done =
999 out of 100,000
= 