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Inessa [10]
4 years ago
6

8. A candle is 4 inches tall and burns at the rate of 0.6 inch per hour. If the height of the candle after x hours is 1.5 inches

,
write an equation to represent the situation. Then use this equation to find the expected number of hours in which the candle
melted to 1.5 inches.
Mathematics
1 answer:
Ronch [10]4 years ago
3 0

Answer with Step-by-step explanation:

A candle is 4 inches tall and burns at the rate of 0.6 inch per hour.

i.e. after 1 hour height of candle=4-0.6 inches

After 2 hours height of candle=4-0.6-0.6 inches

after x hours height of candle=4-0.6x

Also,

If the height of the candle after x hours is 1.5 inches

⇒  4-0.6x=1.5

⇒ 0.6x=4-1.5

⇒ 0.6x=2.5

⇒ x=2.5/0.6

⇒ x=4.166

Hence, equation to represent the situation. is:

4-0.6x=1.5

and the expected number of hours in which the candle  melted to 1.5 inches is:

4.166 hours

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kifflom [539]

Answer:

$14,080

Step-by-step explanation:

You can use a formula for exponential decay, but since it is only 2 years, you can find 80% of the original value, and then 80% of the new value.

Original value: $22,000

Value after 1 year: 80% of $22,000 = 0.8 * $22,000 = $17,600

Value after 1 year: $17,600

Value after 2 years: 80% of $17,600 = 0.8 * $17,600 = $14,080

Answer: $14,080

7 0
3 years ago
Read 2 more answers
The graph shows the attendance at a hockey game, and the rate at which the fans enter and exit the arena.
Ugo [173]

Graphs can be used to model real-world situations

  • Segment 8 means: people are leaving the arena
  • Segments 5 and 7 represent, intervals where there was no incoming or outgoing fans.
  • Segment 6 means a few people left, when the game was going to an end.

Segment 8

From the graph (see attachment), we have the following observations

  • Segment 8 is at the second half of the graph
  • Segment 8 connects segment 7 and 9 (i.e. from the top, downwards)

The above points imply that:

Fans are leaving the arena at segment 8

Segments 5 and 7

From the graph, segments 5 and 7 are horizontal lines.

This means that:

No entry or exit was observed by the fans, at segments 7 and 5

Segment 6

Segment 6 connects segments 5 and 7, with a short downward line

This means that:

Few people left the arena, at segment 6

See attachment for the graph

Read more about graphs at:

brainly.com/question/4700926

4 0
2 years ago
A figure skater needs a total score of at least 90 to move on to the next round. The total score is the average of four judges’
Romashka-Z-Leto [24]

Answer:

97

Step-by-step explanation:

It is given that a figure skater needs a total score of at least 90 to move on to the next round.

The first three judges’ scores were 83, 88, and 92.

Let x be the score given by fourth judge.

Formula for average:

Average=\frac{\sum x}{n}

where, n is the number of observations.

Average of four judges is

Average=\frac{83+88+92+x}{4}

Average=\frac{263+x}{4}

Average score must be at least 90.

Average\geq 90

\frac{263+x}{4}\geq 90

Multiply both sides by 4.

263+x\geq 360

Subtract both sides by 263.

x\geq 360-263

x\geq 97

Therefore, the minimum score the fourth judge could have given is 97.

7 0
4 years ago
Brigitte keeps $500 in a safe at her home. She also deposits $1000 in a savings account that earns 1.3% compound
marishachu [46]

Answer:

f (t) = 1000 - (1.013)* + 500€

Step-by-step explanation:

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3 years ago
When four times the number is added to 8 times the number, the result is 60. What is the number?
Korolek [52]

Answer:

When four times a number (4x) is added to 8 (...+8), the result is(=) 60.

4x+8=60 subtract 8 from both sides

4x=52

divide by 4

x=13

Step-by-step explanation:

5 0
3 years ago
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