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1 answer:
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Answer:
The Final Investment Value is
The interest earned is
Step-by-step explanation:
The compound interest formula is equal to
where
A is the Final Investment Value
P is the Principal amount of money to be invested
r is the rate of interest in decimal
t is Number of Time Periods
n is the number of times interest is compounded per year
in this problem we have
substitute in the formula above
Find the interest earned
After evaluation, The value of the integral is -3.
Calculation:
The triangular region R with vertices (0,0), (2, 1) and (1,2)
And also the transformation is x = 2u+v, y= u+2v
The sketch of the region with vertices A(0,0), B(2,1), and C(1, 2) is as follows:
The straight line passing through P(x₁,y₁) and Q(x₂,y₂) is
The line R₁ passes through points A(0,0) and B(2,1)
So, the equation of the line R₁ is
⇒
The line R₂ passes through points B(2,1) and C(1,2).
So, the equation of the line R₂ is
y=3-x
The line R₃ passes through the points C(1,2) and A(0,0): So, the equation of the line R₃ is
y=2x
The transformation of R₁ is x=2u+v,y=u+2v
v=0 ------- (1)
The transformation on R₂ is x=2u+v,y=u+2v
x+y=3
(2u+v)+(u+2v)=3
u+v=1 ---------(2)
The transformation on R₃ is x=2u+v,y=u+2v
y=2x
u+2v=2(2u+v)
u=0 -------(3)
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