At what annual rate of return compounded monthly would your investment grow from $7500 to $10000 in 20 years

Mathematics

1 answer:

harina [27]3 years ago

7 0

Answer:

Using the attached formula:

exp = log (total/principal) / n * years

exp = log (10,000 / 7,500) / 12 * 20

exp = log (1.3333333333) / 240

exp = 0.1249387366 / 240

exp = 0.000520578069166667

rate = (10^exp -1) * n

rate = (10^0.000520578069166667 -1) * n

rate = 1.00119939400018 -1 * n

rate = .00119939400018 * 12

rate = 0.014392728

OR rate = 1.4392728 % Compounded Monthly

OR rate = 1.448805264762% Compounded Annually

Step-by-step explanation:

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Pablo wants to build a rectangular pen for the pig he is raising in his agriculture class. Pablo only has 36 feet of fencing. Wh

Ratling [72]

Answer:

Area of the rectangular pen is: $18 \,x-x^2$

Step-by-step explanation:

We need to specify that the perimeter of the rectangular area of side x adds to the amount of fence Pablo has (36 feet). Recall as well that the opposite sides of a rectangle are equal, so if there is a side of length x, there must be another one of this size as well (a total of 2 x in the perimeter),let's assume that the perpendicular sides to x are of length y, then:

Perimeter= 2 x + 2 y = 36

so, 2 (x+y) = 36 then (x+y) = 18

and therefore the side y should be:

y = 18 - x

Now we can write the formula for representing the area of the rectangle (product of both quantities: x * y

$Area=x\,*\,y = x\,(18-x) =18 \,x-x^2$