Answer: 
Step-by-step explanation:
To determine time "t", we know that:
Where "d" denotes distance, "r" signifies rate, and "t" means time.
Now isolating the time "t":
Initially, we convert miles into feet.
Since 
, thus
Recognizing that:
We substitute these values into to find time in seconds:
Given:
The resulting time in minutes is:
Answer: Macy's pre-tax shirt price is $5.63
Step-by-step explanation:
Details:
Original cost = 20
sale price drops by 25% every month it remains unsold.
First markdown month:
20 * (100%-25%) = 20 * 75% = 15
Second markdown month:
15 * 75% = 11.25
Macy, being an employee, enjoys a 50% discount on the current price.
11.25 * 50% = 5.625
11.25 - 5.625 = 5.625 or rounded to 5.63
Hope this helps!:)
The expression is 4*sqrt(30). Work Shown: Let's define circles P and Q with P representing the area of the circle with a radius of 19 and Q for a radius of 29. By using A = π*r², P calculates to 361π and Q to 841π. The resultant shaded area between circles P and Q is R = Q - P, which amounts to 480π. To ascertain the radius of a new circle S that would equal this area, we simplify R = 480π to find r = sqrt(480) leading us to r = 4*sqrt(30).
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
