Answer:
Step-by-step explanation:
Simple interest is given as
S.I = PRT/100
Where
S.I is simple interest
R is rate in %
P is the principal
And T is time in years
So, given that
Principal (P)=£1500
Rate(R) =2%
Time(T)= 3years
Then, we are asked to find amount after 3years
S.I=PRT/100
S.I=1500×2×3/100
S.I= £90
This is the interest Brian will receive
So, the money will amount to
Amount=Principal + interest
Amount = 1500+90
Amount = £1590.
So Brian will have £1590 after 3years
The sample of the population is 100 students since they acquired answers from students from middle school and high school, having 50 students each school. 50 + 50 = 100 students as the sample. The total population for either or both of the schools is/are undetermined.
Answer:
Part 1) 
Part 2) 
Part 3) 
Part 4) 
Part 5) 
Part 6) 
Step-by-step explanation:
Part 1) we know that
The shaded region is equal to the area of the complete rectangle minus the area of the interior rectangle
The area of rectangle is equal to

where
b is the base of rectangle
h is the height of rectangle
so



Part 2) we know that
The shaded region is equal to the area of the complete rectangle minus the area of the interior square
The area of square is equal to

where
b is the length side of the square
so



Part 3) we know that
The area of the shaded region is equal to the area of four rectangles plus the area of one square
so



Part 4) we know that
The shaded region is equal to the area of the complete square minus the area of the interior square
so



Part 5) we know that
The area of the shaded region is equal to the area of triangle minus the area of rectangle
The area of triangle is equal to

where
b is the base of triangle
h is the height of triangle
so



Part 6) we know that
The area of the shaded region is equal to the area of the circle minus the area of rectangle
The area of the circle is equal to

where
r is the radius of the circle
so


27 because the square root of 81 is 9 and 9 times 3 is 27.