A binomial expansion is given by (a + b)^n = ∑nCk * a^(n - k) * b^k, k = 0, 1, 2 , . . . n
The third term is the term for k = 2.
The third term = 4C2 * (3x^2)^(4 - 2) * (2y^3)^2 = 6 * 9x^4 * 4y^6 = 216x^4y^6
Therefore, the coefficient of the third term is 216.
We first calculate the percentage increase on the tax
Old value = 25×9 = 225 ⇒ The value 9 represents the 9 lots of thousands of the house's value
New value = 28×9 = 252
Increase in tax = 252 - 225 =27
Percentage increase = (27÷225) ×100 = 12%
The amount of yearly rent would be then increased by 12%
Monthly rent = $60
Yearly rent = 60×12 = $720
Increase by 12% = 720×1.12 = 806.4 ⇒ The value 1.12 is the multiplier, obtained from 100%+12%=112%=1.12
The monthly rent is 806.4÷12 = $67.20 which is an increase of $7.20 per month
Step-by-step explanation:
the scaling ratio is 12/20 = 3/5.
this always applies only to one-dimensional distances, lengths.
the perimeter is calculated as the sum of individual lengths. so while each length is scaled by the same ratio, also the sum is then scaled by that ratio.
p_old = a + b + c
p_new = ra + rb + rc = r(a + b + c) = r×p_old
so, the ratio for the perimeter is also 3/5.
for the area this is a bit different, as an area is always calculated by multiplying 2 lengths (other unscaled factors can be ignored for that consideration of relative change), and that means the scaling ratio has to be multiplied in twice.
a_old = a × b
a_new = ra × rb = r² × a×b = r² × a_old
so, the ratio for the area is
(3/5)² = 9/25
Answer:
answer is present in the attachment
Step-by-step explanation:
you have misquoted the amounts for the opening balances of Supplies and Deferred Revenue. I checked the internet for the right amounts and those are $400 for Supplies and $300 for Deferred Revenue. I have attached a picture to answer your question. Please find the attachment with the name "Answer".
However, I have also solved the question with the amounts that you provided and have attached a picture for it with the name "Answer 2".
