Let an integer be chosen at random from the integers 1 to 30 inclusive. Find the probability that the integer chosen is not even

To isolate C in the equation

start by subtracting P from both sides:

Then, add C to both sides to get:

Answer:

Step-by-step explanation:

This formula is applied when compounding isn’t continuous or occurs less frequently than annually:

where P represents the initial amount invested, r signifies the interest rate as a decimal, n indicates the frequency of compounding per year, and t denotes the duration in years. For our scenario:

P = 5200,

r = 0.046,

n = 365, and

t = 11

Consequently,

A(t) = 5200(1.658408042) leads to

A(t) = $8623.72

Answer:

Here’s the response provided

Step-by-step explanation:

Referring to the flask diagram, the diameter of the cylinder measures 1 inch and its height (h) is 3 inches. Thus, the radius of the cylinder (r) = diameter / 2 = 1/2 = 0.5 inch

The volume of the cylinder can be calculated as πr²h = π(0.5)² × 3 = 2.36 in³

As for the sphere, its diameter is 4.5 in. Hence, the radius of the sphere R = diameter / 2 = 4.5/2 = 2.25 in

The volume of the sphere is calculated as 4/3 (πR³) = 4/3 × π × 2.25³ = 47.71 in³

The total volume of the flask = Volume of the cylinder  + Volume of the sphere = 2.36 + 47.71 = 50.07 in³

The new volume for the cylinder = πr'²h' = π(0.25)² × 1.5 = 0.29 in³

For the sphere, the new radius is R' = 2.25 / 2 = 1.125 in.

The new volume of the sphere = 4/3 (πR'³) = 4/3 × π × 1.125³ = 5.96 in³

Thus, the new volume of the flask = The new volume of the cylinder  + The new volume of the sphere = 0.29 + 5.96 = 6.25 in³