If you invested $500 at 5% simple interest for 2 years, how much interest do you earn? show work and answer in complete sentences to earn full credit.

if you invest $500 at 3% compounded monthly for 2 years, how much interest you do earn? show work and answer in complete sentences to earn full credit.

which would you rather do?

Step-by-step explanation:

Let's assume the cup is a cylinder. The pencil length is simulates a diagonal (hypothenuse), which forms a right triangle with the height of the cylinder and the diameter at the bottom. So, we apply Pythagorean's Theorem.

Solving for , we have

Therefore, the diameter of the cylinder is 8 centimeres, which means its radius is 4 centimeters by definition.

The volume of a cylinder is defined as

Where is the radius and is the height. Replacing values, we have

Therefore, the cup can hold 240π cubic centimeters of water.