Answer:
Step-by-step explanation:
(7*11)-(22/7*2^2)
77-(22/7*4)
77-88/7
77-12.57
64.43
Answer:
After 50 years the stock value will be $50 per share.
Step-by-step explanation:
Simple Interest Equation (Principal + Interest)
A = P(1 + rt)
Where:
A = Future amont = $50
P = Principal Amount = $40
r = Rate of Interest per year in decimal; r = R/100 = 0.5/100 = 0.005
t = Time Period involved in months or years
Plug in the values
50 = 40(1 + 0.005t)
50 / 40 = (1 + 0.005t)
5/4 = 1 + 0.005t
5/4 - 1 = 0.005t
0.25 = 0.005t
t = 0.25 / 0.005
t = 50 years
Differentiating both sides of
with respect to <em>x</em> yields (using the chain rule)
Solve for d<em>y</em>/d<em>x</em> :
The answer is then D.
Answer:
m (x) = -2(x-6)^2 +18
Step-by-step explanation:
9514 1404 393
Answer:
a) w(4w-15)
b) w²
c) w(4w -15) = w²
d) w = 5
e) 5 by 5
Step-by-step explanation:
a) If w is the width, and the length is 15 less than 4 times the width, then the length is 4w-15. The area is the product of length and width.
A = w(4w -15)
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b) If w is the side length, the area of the square is (also) the product of length and width:
A = w²
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c) Equating the expressions for area, we have ...
w(4w -15) = w²
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d) we can subtract the right side to get ...
4w² -15w -w² = 0
3w(w -5) = 0
This has solutions w=0 and w=5. Only the positive solution is sensible in this problem.
The side length of the square is 5 units.
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e) The rectangle is 5 units wide, and 4(5)-15 = 5 units long.
The rectangle and square have the same width and the same area, so the rectangle must be a square.
