Answer:

Step-by-step explanation:
we know that
The simple interest formula is equal to
where
I is the Final Interest Value
P is the Principal amount of money to be invested
r is the rate of interest
t is Number of Time Periods
in this problem we have
substitute in the formula above
solve for t

Answer:
The correct answer is A. 9.4 inches.
Step-by-step explanation:
Given that the volume of a boys' basketball is 434 cubic inches, and Dan would like to get a ball with half the volume for his son, to determine what is the diameter of the ball that Dan will buy for his son, the following calculation has to be done, knowing that the volume of a sphere is four thirds multiplied by pi multiplied by the radius cubed:
4/3 x 3.14 x X ^ 3 = 434
4.186 x X ^ 3 = 434
X ^ 3 = 434 / 4.186
X = 3√ 103.662
X = 4.7
In turn, since the radius of a sphere is equal to half its diameter, the diameter of the basketball is 9.4 inches (4.7 x 2).
Answer: you need 5000 more
Step-by-step explanation: 70000 + 5000= 75000
Step-by-step explanation:
- Light reflects from a smooth surface at the same angle as it hits the surface. For a smooth surface, reflected light rays travel in the same direction. This is called specular reflection. For a rough surface, reflected light rays scatter in all directions.
Answer:
Third option: x=0 and x=16
Step-by-step explanation:

Isolating √(2x+4): Addind √x both sides of the equation:

Squaring both sides of the equation:

Simplifying on the left side, and applying on the right side the formula:


Isolating the term with √x on the right side of the equation: Subtracting 4 and x from both sides of the equation:

Squaring both sides of the equation:

This is a quadratic equation. Equaling to zero: Subtract 16x from both sides of the equation:

Factoring: Common factor x:
x (x-16)=0
Two solutions:
1) x=0
2) x-16=0
Solving for x: Adding 16 both sides of the equation:
x-16+16=0+16
x=16
Let's prove the solutions in the orignal equation:
1) x=0:

x=0 is a solution
2) x=16

x=16 is a solution
Then the solutions are x=0 and x=16