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Elis [28]
3 years ago
6

Help ASAP I’ll mark you as brainlister PLEASE!!’

Mathematics
1 answer:
Alex17521 [72]3 years ago
8 0

Answer:

A = 76.8 yd²

Step-by-step explanation:

The area (A) of a regular polygon is calculated as

A = \frac{1}{2} pa ( p is the perimeter and a the apothem )

Here p = 8 × 4 = 32 yd and a = 4.8 yd , then

A = \frac{1}{2} × 32 × 4.8 = 16 × 4.8 = 76.8 yd²

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Answer:

The value of  annuity is  P_v  =  \$ 7929.9

Step-by-step explanation:

From the question we are told that

    The periodic payment is  P  =  \$ 250

     The  interest rate  is   r =  5\%  =  0.05

     Frequency at which it occurs in a year is  n = 4 (quarterly )

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The  value of the annuity is mathematically represented as

             P_v  =  P *  [1  - (1 + \frac{r}{n} )^{-t * n} ] * [\frac{(1 + \frac{r}{n} )}{ \frac{r}{n} } ] (reference EDUCBA website)

 substituting values

             P_v  = 250 *  [1  - (1 + \frac{0.05}{4} )^{-10 * 4} ] * [\frac{(1 + \frac{0.05}{4} )}{ \frac{0.08}{4} } ]

             P_v  =  250 *  [1  - (1.0125 )^{-40} ] * [\frac{(1.0125 )}{0.0125} ]

             P_v  =  250 *  [0.3916 ] * [\frac{(1.0125)}{0.0125} ]

            P_v  =  \$ 7929.9

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Step-by-step explanation:

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