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Slav-nsk
22 days ago
11

After the price of petroleum oil went up by 10%, a consumer reduced his oil consumption by the same percent. By what percent wou

ld his petroleum bill be changed? THE ANSWER IS NOT 10%.
Mathematics
1 answer:
tester [12.3K]22 days ago
7 0
Let's pick arbitrary numbers: suppose 1 unit of petroleum costs 100 bitcoins (because why not).

A 10% price rise makes it 100*1.1 = 110 bitcoins per unit.

If consumption falls by 10%, he now buys 0.9 units, so his expense is 110 * 0.9 = 99 bitcoins. Previously it was 100, so now it's 99. Therefore his petroleum spending has decreased by 1%
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6 0
1 month ago
Students have organized
tester [12383]

Answer:

Part A. At least 6 hours

Part B. In less than 2.5 hours, Elijah will fall behind Mercedes

Part C. In over 2.5 hours, Elijah will lead Aubrey

Step-by-step explanation:

D = distance

v = speed

t = time

Formula connecting D, v, and t:

D=v\cdot t

Part A.

Steve's speed: v=3.5\ mph

Distance: a minimum of 21 miles

Time: unknown, so

3.5\cdot t\ge 21\\ \\35t\ge 210\ [\text{Multiplied by 10}]\\ \\t\ge \dfrac{210}{35}\\ \\t\ge \dfrac{30}{5}\\ \\t\ge 6

It would require Steve a minimum of 6 hours to traverse at least 21 miles on Day 1.

Part B.

Mercedes's speed: v_M=2.4\ mph

Elijah's speed: v_E=3.2\ mph

Elijah's Distance walked: D_E miles

Mercedes's Distance walked: D_M miles

Time: x hours

Mercedes is 2 miles ahead, therefore

D_E=3.2x\\ \\D_M=2.4x+2

Elijah will trail behind until

D_E

In 2.5 hours, Elijah will close the gap on Mercedes, and in less than 2.5 hours, Elijah will trail behind her.

Part C.

Aubrey's speed: v_M=3\ mph

Elijah's speed: v_E=3.2\ mph

Elijah's Distance walked: D_E miles

Aubrey's Distance walked: D_A miles

Time: x hours

At the beginning of Day 3, Elijah starts from Mile 42, while Aubrey begins at Mile 42.5.

D_E=42+3.2x\\ \\D_A=42.5+3x

Elijah will be ahead of Aubrey when

D_E>D_A\\ \\42+3.2x> 42.5+3x\\ \\3.2x-3x>42.5-42\\ \\0.2x>0.5\\ \\2x>5\ [\text{Multiplied by 10}]\\ \\x>\dfrac{5}{2}\\ \\x>2.5\ hours

In 2.5 hours, Elijah will surpass Aubrey, and after more than 2.5 hours, Elijah will outpace Aubrey.

4 0
1 month ago
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