Four circles, each with a radius of 2 inches, are removed from a square. What is the remaining area of the square? (16 – 4π) in.

Effective interest rate = Daily interest rate = Annual interest rate/number of days per year

Annual interest rate = 11.1%
Days in a year = 365

Thus,
Effective interest rate = 11.1/365 = 0.03%.

Response:

Dimensions of the rectangular fence:

x = 14 ft

w = 7 ft

A = 98 ft²

Detailed explanation:

Dimensions of the rectangular fence:

x = length, and w = width

Then x = 2*w ⇒ w = x/2

Perimeter is

p = 2*x + 2*w

p = 2*x + 2* x/2

p = 2*x + x

3*x = 42

x = 14 ft and w = 14/2  ⇒ w = 7 ft

Answer:

Approximately 59 stacked cups.

Step-by-step explanation:

We have the following measurements:

Height of one cup = 12.5 cm,

Height of two cups stacked = 14 cm,

Height of three cups stacked = 15.5 cm,

...and so on.

This situation can be described by an arithmetic sequence,

12.5, 14, 15.5,....

The first term is defined as a = 12.5,

with a common difference of d = 1.5 cm.

Thus, the height of x stacked cups is given by

As per the problem,

h(x) = 200

⇒ 1.5x + 11 = 200

⇒ 1.5x = 189

⇒ x = 59.3333333333 ≈ 59.

Therefore, you will need approximately 59 stacked cups.

No.
In order to conduct an analysis like this one, it is essential to select a RANDOM SAMPLE from the entire POPULATION involved in the study. For instance, Pete is attempting to gauge the overall satisfaction of his customers, therefore, he should distribute the surveys to a randomly chosen group of customers rather than only targeting those who have bought the most items. Doing so will yield results that are more REPRESENTATIVE of the overall customer satisfaction. If he limits the surveys to those customers who have purchased the most, he is likely to see inflated satisfaction levels, which would not truly reflect the general sentiment of all customers.

Let the number of years Brad has been on the soccer team be represented by x, and let y represent the number of years Scott has been on the same team.

From the information given, we formulate the equations:
5y - 2 = x -----(1)

x + y = 10 -----(2)

Now, substituting equation (1) into equation (2):
5y - 2 + y = 10
6y - 2 = 10
6y = 12
y = 2
Next, substituting this value back to find x:
x = 5×2 - 2
x = 8

So, Brad has spent a total of 8 years in the team.