Answer:

Step-by-step explanation:
Entrance fee per head = d
Entrance fee for the 5 friends = 5*d = 5d
Booklet of ride ticket per head = 2.5d
Booklet of ride ticket for the 5 friends = 5(2.5d)
Meal ticket per head = d - 4
Meal ticket for the 5 friends = 5(d - 4)
Total amount paid altogether by the five friends = 
From this breakdown above, the total amount paid by the 5 friends for their meal tickets = 
For the answer to the question above asking to f<span>ind the coordinates of Z without using any new variables.
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Vector WZ equals vector VP, which is (p, -q)
So Z is (-p - r + p, q - q) which is (-r, 0)
I hope my answer helped you.
Answer:
The product results in:
, which agrees with answer A of the given choices.
Step-by-step explanation:
We need to apply distributive property for the product of two expressions each consisting of two terms, and also use the properties of products of radicals of the same root:

and now, we extract as many factors we can from the roots to reduce them:

Answer:
The length and width of the pool = 24 ft and 16 ft
Step-by-step explanation:
Let length of pool be l and width of pool be w.
A pool in the shape of a rectangle has a perimeter of 80feet.
Perimeter of pool = 2 x ( l + w ) = 80 feet
That is
l + w = 40 ft -----------------------------------eqn 1.
The pool is 8 feet less wide than it is long.
l = 8 + w
l - w = 8 ft -----------------------------------eqn 2.
eqn 1 + eqn 2
2 l = 48
l = 24 ft
Substituting
24 + w = 40
w = 16 ft
The length and width of the pool = 24 ft and 16 ft
To evaluate the initial value we use the formula:
A=P(1+r)^n
where
A=future value
P=principle amount
r=rate
n=time
thus plugging in our values we get:
8996.32=P(1+5.6/100)^4
solving for p we shall have:
8996.32=1.2435P
hence:
P=$7234.5
Thus the initial amount was $7234.5