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ozzi
3 years ago
14

Mr. Carr paid $64 interest for a two-year loan at 8% simple interest

Mathematics
1 answer:
Alenkasestr [34]3 years ago
3 0

Answer:

$400

Step-by-step explanation:

The formula for simple interest is i = p * r * t, where r is the annual interest rate as a decimal fraction, p is the principal and t is the time in years.

Here we want to determine what the principal was.  Solving the above equation for p, we get:

           i            $64

p = --------- = -------------- = $400

        r * t       (0.08)(2)

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Sketch the region enclosed by y=3x and y=x^2 . Then find the area of the region.
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Answer:

A=4.5u^2

Step-by-step explanation:

The integral of a function gives you the area under the curve, the subtraction of one of the areas from the other will give you the area in between.

The limits of integration are the points where the curves intersect each other(take the curves has a system of equation and solve for x and y):

y=3x, y=x^2\\3x=x^2\\x^2-3x=0\\x(x-3)=0\\x_1=0\\x-3=0\\x_2=3

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\int\limits^3_0 {3x-x^2} \, dx =\left\frac{3x^2}{2}-\frac{x^3}{3}\right|^3_0=\frac{3(3)^2}{2}-\frac{(3)^3}{3}-\left(\frac{3(0)^2}{2}-\frac{(0)^3}{3}\right)\\\int\limits^3_0 {3x-x^2} \, dx =\frac{27}{2}-\frac{27}{3} =13.5-9=4.5u^2

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ivanzaharov [21]

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50√3 square units.

Step-by-step explanation:

Let the two sides of the triangle given be 'a' and 'b'.

Let the angle between them be θ

From the question given above, the following data were obtained:

Side a = 20 units

Side b = 10√3

Angle (θ) = 30°

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A = 50√3 square units

Therefore, the area of the triangle is 50√3 square units

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