Answer: LHS = RHS
Step-by-step explanation:
Heya!!
Here, we need to compare the LHS and RHS
So, here is the solution -
(9p-5q)²+ 180 pq = (9p+5q)
LHS
= (9p-5q)²+ 180 pq
= 81 p² + 25 q² + 90 pq + 180 pq
= (9p - 5q) ²
RHS = (9p - 5q) ²
Hence, proved => LHS = RHS
Hope it helps!
Answer:
a. $45.86
b. $43.87
c. Percentage change = -4.40%)
Step-by-step explanation:
a. Let the price of share at the beginning of first year be represented with X
Now, Price of company's share dropped by 3.50% at the end of first year.
So, Price of share at the end of first year = x - 3.5% of x
= x - 0.035x
= 1x - 0.035x
= 0.965x
But it is equal to $44.25
=> 0.965x = 44.25
x = 44.25 / 0.965
x = 45.8549223
x = $45.86
b. During second year price of share decreased by $1.99. Therefore, Price of share at the end of second year = $45.86 - $1.99 = $43.87
c. Percentage change in the price of shares over two years = {(45.86 - 43.87)/45.86} *100
= (1.99/45.86)*100
= 0.04339294 * 100
= 4.40%
Now, as price of shares has dropped, the percentage change will be negative. (Δ% = -4.40%)
Answer:
3.95833333333
Step-by-step explanation:
Rotation counterclockwise 90 degrees has the rule
(x,y) -> (-y,x)
So the image is obtained, according to the rule,
(2,3) -> (-3,2)
Multiply 7 by 0.08 and you get $0.56. $0.56 is the tax. For other tax questions just multiply the price and the sales tax as the decimal.
