Answer:
The mean, μ is 2.5063 and
The standard deviation, σ = 2.0499 × 10⁻²
Step-by-step explanation:
Here we have

and
10% have length < 2.48 in while
5% have length > 2.54 in
and
From the z score table
Critical z at 10% to the left = -1.282
Critical z at 5% to the right = 1.645
Therefore, the equations become
-1.282σ = 2.48 - μ → μ -1.282σ = 2.48
1.645σ = 2.54 - μ → μ + 1.645σ = 2.54
Solving the above equations gives
The mean, μ = 2.5063 and
The standard deviation, σ = 2.0499 × 10⁻².
5.5% as a multiple is 0.055
So 700 x 0.055= $38.50 in commission
475 (standard pay) + 38.50 (commission) = $513.50 in that week
We can always split a regular polygon with
sides into
triangles, whose base is the side of the polygon and whose height is the apothem of the polygon. So, the sum of the areas of all these triangles is

where
is the number of sides,
is the side length, and
is the apothem length.
So, you just need to plug you values in: in your case, you have 
So, the formula becomes

Answer:
it is 69.5
Step-by-step explanation:
Answer:
FV= $712.88
Step-by-step explanation:
Giving the following information:
Initial investment (PV)= $500
Number of periods (n)= 12 years
Interest rate (i)= 3% compounded annually
<u>To calculate the future value, we need to use the following formula:</u>
FV= PV*(1+i)^n
FV= 500*(1.03^12)
FV= $712.88