Answer:
46/100 = 23/50
Step-by-step explanation:
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Answer:
The initial value is $78
Step-by-step explanation:
Given

(weekly)
Required
Determine the initial value
The initial value is the amount he has in its bank account before making his weekly savings.
From the question, we have that his initial balance is $78.
Hence, the initial value is $78
However, his weekly balance can be expressed as:

Represent number of weeks with x; So, we have:


Answer:
Perimeter=25 units
Area= 43 units^2
Step-by-step explanation:
one side = 5 units so perimeter is 5x5=25
split into 5 equal triangles
base =5, height =3.44, formula for area=(base)(height)(0.5)
area of each triangle =(5)(3.44)(0.5)=8.6
entire area=5(8.6)=43
Replace x with π/2 - x to get the equivalent integral

but the integrand is even, so this is really just

Substitute x = 1/2 arccot(u/2), which transforms the integral to

There are lots of ways to compute this. What I did was to consider the complex contour integral

where γ is a semicircle in the complex plane with its diameter joining (-R, 0) and (R, 0) on the real axis. A bound for the integral over the arc of the circle is estimated to be

which vanishes as R goes to ∞. Then by the residue theorem, we have in the limit

and it follows that

A = 1/2h(b1 + b2)
2A = h(b1 + b2)
2A/h = b1 + b2
b1 = 2A/h - b2