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Vikentia [17]
3 years ago
10

Amount of payment $12000.00 Payment payable semiannually 8Years Interest 7% Value of annuity

Mathematics
1 answer:
san4es73 [151]3 years ago
5 0

Answer:

$992.227

Step-by-step explanation:

We have given amount of payment =$12000

Total time =8 years, as payment is payable semiannually so total period = 8×2=16 period

Rate of interest =7% annually so 3.5% semiannually

Present value annuity factor for 16 period at rate of 3.5%

=\sum \frac{1}{(1+3.5)^1}+\frac{1}{(1+3.5)^2}+\frac{1}{(1+3.5)^3}+----------------\frac{1}{(1+3.5)^{16}}=12.094

So annuity =\frac{total\ payment}{present\ value\ annuity\ factor}=\frac{$12000}{12.094}=$992.227  

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Find the measurements (the length L and the width W) of an inscribed rectangle under the line with the 1st quadrant of the x &am
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The question is incomplete. Here is the complete question.

Find the measurements (the lenght L and the width W) of an inscribed rectangle under the line y = -\frac{3}{4}x + 3 with the 1st quadrant of the x & y coordinate system such that the area is maximum. Also, find that maximum area. To get full credit, you must draw the picture of the problem and label the length and the width in terms of x and y.

Answer: L = 1; W = 9/4; A = 2.25;

Step-by-step explanation: The rectangle is under a straight line. Area of a rectangle is given by A = L*W. To determine the maximum area:

A = x.y

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To maximize, we have to differentiate the equation:

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So, the measurements are x = L = 1 and y = W = 9/4

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A = 1 . 9/4

A = 9/4

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