Gummy Bears

Front

What is the definition of volume in geometry?

Back

Volume is the amount of space occupied by a three-dimensional object, measured in cubic units.

Front

How do you calculate the volume of a cylinder?

Back

The volume of a cylinder can be calculated using the formula V = πr²h, where r is the radius and h is the height.

Front

What is an irrational number?

Back

An irrational number is a number that cannot be expressed as a simple fraction, meaning it cannot be written as a ratio of two integers.

Front

What is the square root of 120?

Back

The square root of 120 is approximately 10.95, and it is an irrational number.

Front

What does it mean to dilate a point in geometry?

Back

To dilate a point means to resize it from a center point by a certain scale factor, either enlarging or reducing its distance from the center.

Front

How do you perform a dilation of a point by a scale factor of 1/2?

Back

To dilate a point by a scale factor of 1/2, multiply the coordinates of the point by 1/2.

Front

What is simple interest?

Back

Simple interest is calculated on the principal amount only, and it can be found using the formula I = PRT, where I is interest, P is principal, R is rate, and T is time.

Front

How do you calculate the total amount to be paid back on a loan with simple interest?

Back

The total amount to be paid back is the sum of the principal and the interest: Total = Principal + Interest.

Front

What is the formula to calculate interest earned on a loan?

Back

The formula to calculate interest earned is I = PRT, where I is interest, P is principal, R is the annual interest rate (as a decimal), and T is time in years.

Front

If Emilio borrows $1200 at 8% interest for 2 years, how much interest will he pay?

Back

The interest paid will be I = 1200 * 0.08 * 2 = $192.