<span>
s(33) = 33*50 = 1650 (amphetheater capacity) </span>
Answer:
y = -2x -2
x + 2y = 2
2x + y = -2 } x1
x + 2y = 2 } x2
2x + y = -2 } we eliminate 2x
2x + 4y = 4 } same signs subtract and different add respectively
-3y = -6
-3 -3
y = 2 (x , 2) we reserve
2x + (2) = -2 we take on the first equation and replace 2 on a coordinate for y
2x = -2 - 2
2x = -4
2 2
x = -2 (-2,2)
x y
Answer:
<em>It will take 14 years before the investment triples</em>
Step-by-step explanation:
<u>Continuous Compounding</u>
Is the mathematical limit that compound interest can reach if it was calculated and reinvested into an account's balance over a theoretically infinite number of periods.
The formula for continuous compounding is derived from the formula for the future value of a compound interest investment:

Where:
FV = Future value of the investment
PV = Present value of the investment
i = Interest rate
t = Time
It's required to find the time for an investment to triple, that is, FV = 3 PV, knowing the interest rate is i=8%=0.08.
Substituting the known values:

Dividing by PV:

Taking logarithms:

Solving for t:


t = 13.7 years
Rounding up:
It will take 14 years before the investment triples
Answer:
x = 20
Step-by-step explanation:
x + 2x + (x + 10) = 90° (right angle)
x + 2x + x + 10 = 90
Add like terms
4x + 10 = 90
4x = 90 - 10 (substraction property of equality)
4x = 80
x = 80/4 (division property of equality)
x = 20
Answer:
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