William wants to invest $30,000 in a mutual fund.
1 answer:
Answer:
He will have $39,750 at the end of five years.
Step-by-step explanation:
This is a simple interest problem.
The simple interest formula is given by:
In which E is the amount of interest earned, P is the principal(the initial amount of money), I is the interest rate(yearly, as a decimal) and t is the time.
After t years, the total amount of money is:
In this question:
Interest earned:
Total amount:
He will have $39,750 at the end of five years.
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Answer:
A'(-1, 1), B'(-2, 1), C'(-2, 2) and D'(-1, 3).
Step-by-step explanation:
Transformation is the movement of a point from its initial location to a new location. Types of transformation is reflection, rotation, translation and dilation.
Rotation is the turning of an object about a point. If a point A(x, y) is rotated 90 degrees counterclockwise about the origin, the new point would be A'(-y, x)
From the image attached, the coordinates of polygon ABCD is A(1, 1), B(1, 2), C(2, 2), D(3, 1). If polygon ABCD is rotated 90 degrees counterclockwise about the origin, the new vertices would be at A'(-1, 1), B'(-2, 1), C'(-2, 2) and D'(-1, 3).
1. The surface that will be exposed to the rain is the lateral surface of the cylinder and the hemisphere.
2. The lateral area of the cylinder is a rectangle with height equal to the height of the cylinder and width equal to the circumference of the base of the cylinder.
3. the circumference of the base = 2
r=2**5=10
so the lateral area = 10*h=10*40=400 (
)
4. The surface area of a sphere is
so the surface of the hemisphere =
()
5. Total area exposed = 450
2. The lateral area of the cylinder is a rectangle with height equal to the height of the cylinder and width equal to the circumference of the base of the cylinder.
3. the circumference of the base = 2
so the lateral area = 10
4. The surface area of a sphere is
so the surface of the hemisphere =
5. Total area exposed = 450