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wlad13 [49]
3 years ago
6

The function in Exercise represents the rate of flow of money in dollars per year. Assume a 10-year period at 8% compounded cont

inuously and find the following: (a) the present value; (b) the accumulated amount of money flow at t=10.
f(t)=1000t-100t^2

Mathematics
1 answer:
QveST [7]3 years ago
8 0

Answer:

Please see attachment

Step-by-step explanation:

Please see attachment

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The coordinates of the three vertices of the triangle are A (x1, y1), B (x2, y2), C (x3, y3).
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Answer:

Step-by-step explanation:

Using the section formula, if a point (x,y) divides the line joining the points (x  

1

​

,y  

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) and (x  

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,y  

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​

) in the ratio m:n, then  

(x,y)=(  

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1

​

 

​

,  

m+n

my  

2

​

+ny  

1

​

 

​

)

The vertices of the triangle are given to be (x  

1

​

,y  

1

​

),(x  

2

​

,y  

2

​

) and (x  

3

​

,y  

3

​

). Let these vertices be A,B and C respectively.  

Then the coordinates of the point P that divides AB in l:k will be

(  

l+k

lx  

2

​

+kx  

1

​

 

​

,  

l+k

ly  

2

​

+ky  

1

​

 

​

)

The coordinates of point which divides PC in m:k+l will be  

⎩

⎪

⎪

⎪

⎨

⎪

⎪

⎪

⎧

​

 

m+k+l

mx  

3

​

+(k+l)  

(l+k)

lx  

2

​

+kx  

1

​

 

​

 

​

,  

m+k+l

my  

3

​

+(k+l)  

(l+k)

ly  

2

​

+ky  

1

​

 

​

 

​

 

⎭

⎪

⎪

⎪

⎬

⎪

⎪

⎪

⎫

​

 

⇒(  

m+k+l

kx  

1

​

+lx  

2

​

+mx  

3

​

 

​

,  

m+k+l

ky  

1

​

+ly  

2

​

+my  

3

​

 

​

)

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