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nordsb [41]
2 years ago
9

What is the compound interest on investing $600 for 3 years at 7% per annum? ​

Mathematics
1 answer:
Marysya12 [62]2 years ago
5 0

Answer:

About $735.03

Step-by-step explanation:

The compound interest formula is A=P(1+r/n)^nt

P is the original amount (principal)

r is the rate

n is the number of times compounded (1 for this one since it is annual)

and t is the time compounded

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A rectangular field on a farm is to be fenced in using the wall of the barn for one side and 200 meters of fencing for the other
vitfil [10]

Answer:

Rectangular area as a function of x :   A(x)  = 200*x  + 2*x²

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Step-by-step explanation:

"x" is the length of the perpendicular side to the wall of the rectangular area to be fenced, and we call "l" the other side (parallel to the wall of the barn) then:

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P = 2*x + 2*l   but we won´t use any fencing material along the wll of the barn therefore

P  =  2*x + l       ⇒   200 = 2*x  + l      ⇒   l  = 200 - 2*x      (1)

And the rectangular area as a function of x is:

A(x)  = x * ( 200 - 2*x)  ⇒  A(x)  = 200*x  + 2*x²

Taking derivatives on both sides of the equation we get:

A´(x)  =  200 - 4*x     ⇒   A´= 0

Then    200 - 4*x  = 0     ⇒   4*x =  200   ⇒  x  = 50 m

We find the l value, plugging the value of x in equation (1)

l  = 200 - 2*x     ⇒ l = 200 - 2*50   ⇒  l = 100  m

A(max)  =  100*50

A(max)  = 5000 m²

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3 years ago
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Answer:
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