A^2 + b^2 = c^2
1^2 + b^2 = (sqrt(2))^2
1 + b^2 = 2
b^2 = 1
b = 1
4 groups of 3 girls and 3 boys. Then there would be an extra three girls
Answer:
20 degrees
Step-by-step explanation:
Angles on the edge of the circle are equal to 1/2 of the arc it forms, so that means angle z is one half of 40 degrees. 1/2 * 40 = 20 degrees.
The first step to determining the answer to this item is to calculate for the effective interest using the equation,
ieff = (1 + i/m)^m - 1
where ieff is the effective interest, i is the given interest and m is the number of compounding period.
Part A: m in this item is equal to 12.
Substituting,
ieff = (1 + 0.10/12)^12 - 1 = 0.1047
The amount of money after n years is calculated through the equation,
An = A(1 + ieff)^n
If An/A = 2 then,
2 = (1 + 0.1047)^n
The value of n is 6.96 years
Part B: For the continuously compounding,
An = Ae^(rt)
An/A = 2 = e^(0.10t)
The value of t is equal to 6.93 years.
Hence, the answers:
<em>Part A: 6.96 years</em>
<em>Part B: 6.93 years</em>
Answer:
option D
Step-by-step explanation:
