Answer:
Explanation:
<u>1. Data:</u>
i) Distance traveled by the cars:
ii) Speed of the cars:
iii) Time to arrive at the suburb:
- t₂ - t₁ = 2 hour ⇒ t₂ = t₁ + 2
<u>2. Equations:</u>
time = distance / speed
- t₂ = 480 / v₂
- t₁ = 480 / v₁ = 480 / (v₂ + 20)
t₂ - t₁ = 2 hour
↓ ↓ ↓
480/v₂ - 480/ (v₂ + 20) = 2
<u>3. Solve the equation</u>
480(v₂ + 20) - 480(v₂) = 2 × (v₂ + 20) (v₂)
240(v₂ + 20) - 240(v₂) = (v₂ + 20) (v₂)
240v₂ + 4800 - 240v₂ = (v₂)² + 20v₂
(v₂)² + 20v₂ - 4800 = 0
(v₂ + 80) (v₂ - 60) = 0
v₂ = - 80
v₂ = 60
Only the positive solution has physical meaning:
- v₁ = 60km/h + 20km/h = 80km/h ← answer
Answer:
24.2$
Step-by-step explanation:
10％ are 0.1 as a decimal
22$ are actually 100％ so its a 1.0 as a decimal
so the new price is 110％, 1.1 as a decimal
22$*1.1＝24.2$
Answer:
Step-by-step explanation:
MN=MO+NO
MN=14+18
MN=32
hope i helped.
This can be described by the exponential equation y = 2000 x 1.04(to the xth power), in which x is the number of years passed.
thus, we put in 9 for x.
y = 2000 x 1.04^9
1.04^9 = about 1.42
2000 x 1.42 = $2840 :)
Answer: (A) y > 3
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Equation given
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2(3y - 2) > 14
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Use distributive property to open up the bracket
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6y - 4 > 14
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Add 4 to both sides
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6y > 18
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Divide by 3 on both sides
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y > 3
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Answer: y > 3
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