What is the greatest common divisor of $1665,$ $4554,$ $1683,$ and $4050$?

Answer:

The equation is:
f(x) = 2x² - 44x + 185
f(x) = 2(x² - 22x + 121 - 121) + 185 =
= 2(x² - 22x + 121) - 242 + 185 =
= 2(x - 11)² - 57
Conclusion:
The vertex is located at (11, -57) and the vertex form is: f(x) = 2(x - 11)² - 57

Events A and B are termed independent when

if not, events A and B are classified as dependent.

The events A, B and A∩B are:

• A - Jane plans to attend a ballgame on Monday;
• B - Kate intends to go to a ballgame on Monday;
• A∩B - Both Kate and Jane will be at the ballgame on Monday.

Answer: events A and B are dependent

This scenario is similar to a compound interest problem where the following formula is utilized:

Here:

C is the principal amount

j stands for the interest rate

n represents the number of periods

M is the total amount

By applying this formula to our issue, we establish:

C equals the initial population

j indicates the annual growth rate

n corresponds to the years elapsed

M signifies the final population

Let's proceed with the calculations...

C = 14000

j = 3% = 3/100 = 0.03

n = 6

M =?

Substituting the known values and calculating gives us:

M = C.

M = 14000.

M = 14000.

M = 14000. 1.19

M = 16,716.7

Thus, the result is 16,717

:-)