Answer:
see explanation
Step-by-step explanation:
The n th term of an arithmetic progression is
= a₁ + (n - 1)d
where a₁ is the first term and d the common difference
Given
= 12 and
= 22, then
a₁ + 5d = 12 → (1)
a₁ + 7d = 22 → (2)
Subtract (1) from (2) term by term to eliminate a₁
2d = 10 ( divide both sides by 2 )
d = 5
Substitute d = 5 into (1) to find a₁
a₁ + 5(5) = 12
a₁ + 25 = 12 ( subtract 25 from both sides )
a₁ = - 13
Thus
= - 13 + 5 = - 8
= - 13 + 5(n - 1) = - 13 + 5n - 5 = 5n - 18 ← n th term
L = 2w - 3
p = 264
2(L + w) = p
2(2w - 3 + w) = 264
2(3w - 3) = 264
6w - 6 = 264
6w = 270
w = 270/6
w = 90/2
w = 45
L = 2w - 3
L = 2(45) - 3
L = 90 - 3
L = 87
The length is 87ft, and the width is 45ft
Answer: 6.9% increase
Step-by-step explanation: original: 72
new: 77 5 x = 500 = 6.9%
72 100 72