Answer: 162 sq. yds.
Step-by-step explanation:
Given : A square that is 5yd on a side is placed inside a rectangle that has a width of 11yd and a length of 17 yd.
Then , Area of rectangle = length x width
= 11 yd x 17 yd = 187 sq. yds.
Area of square = (side)²
= (5 yd)² = 25 sq. yds.
Now , the area of the region inside the rectangle that surrounds the square will be Area of rectangle - Area of square
= 187 sq. yds.- 25 sq. yds.
=162 sq. yds.
Hence, the area of the region inside the rectangle that surrounds the square is 162 sq. yds. .
A positive times a negative will always be negative
9 x -1 = -9
-9, Hope this helps!
Slope is 3/1 (3 simplified)
(b) To have no winner within the first 6 tosses means that there must be 3 tails and 3 heads tossed. So we count how many ways can that happen. The number of ways to choose 3 heads (or tails, doesn't matter) from 6 tosses is

so 20 ways winthin the 6 tosses. but the question was "how many ways among the 128 of 7 tosses" so we need to add the 7th toss by multiplying by another 2 possibilities for the outcome of the 7th toss, giving us the answer: among the 128 there are 40 games that are tied and need the 7th toss.
(c) The probability is the number of tied games (after 6 tosses) divided by the total number of possible configurations among 6 tosses:

Answer:
$10579.49
Step-by-step explanation:
The formula for amount gotten after a period of time (in years) on a principal which is compounded continuously is given as:

where P = principal (amount borrowed)
r = interest rate
t = number of years
Peter accumulated $7,500 in credit card debt with interest rate as 3.5% per year and he does not make any payments for 10 years.
Therefore, his debt is:

A = $10579.49
He will owe $10579.49 after 10 years