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denis23 [38]
3 years ago
9

Triangles & Angle Bisectors! Can someone help me with this problem? Find X & Y.

Mathematics
1 answer:
kozerog [31]3 years ago
8 0

Answer:

I think it's x= 2.67cm

y=6cm

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Find the sum of a finite geometric sequence from n=1 to n=8, using the expression -2(3)^n-1
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\sum\limits_{n=1}^{8}~-2(3)^{n-1}~~
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If a club charges dues of $200 a year, it will have 50 members. For each $5 it raises its dues, it loses a member. USE AN EQUATI
Vikentia [17]

Answer:

The value is      y  =  \$ 225

Step-by-step explanation:

From the question we are told that

   The amount charge per year is  k  =  \$ 200

   The  number of members it will have at this amount is  n  =  50

   The amount amount increase that will lead to the loss of a single member is   z =  \$ 5

        Generally the total amount the club would obtain from  its members is mathematically represented as

      I  =  Amount \  due\ paid *  Number \  of members

Now let x denote the number of member lost

Hence

      I  =  (k + zx) (n-x )

=>    I  =  (200 + 5x) (50-x )

=>  I  = 10000+50x-5x^2

Thus the number of members that be removed to  give the maximum  income from dues is obtained by differentiating the above equation and equating it to zero

           \frac{dI}{dx}  =  50-10x

=>         x   =  5

So from  I  =  (200 + 5x) (50-x ) we have

          I  =  (200 + 5 (5)) (50-5 )

           I  = \$ 10125

So the amount the club should charge is    

         y  =  \frac{10125}{50 - 5}

         y  =  \$ 225

         

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Add 8 5/9 + 3 5/6 + 6 4/9
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18.8333333333is the answer
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