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ludmilkaskok [199]
3 years ago
12

1. (18 points)You are stationed at a port on the ocean. A cruise liner is sailing past your port. When it

Mathematics
1 answer:
Annette [7]3 years ago
5 0

Answer:

1400 ft.

Step-by-step explanation:

It is a simple problem you just need to take the rate (30 ft. per second) and multiply it times the number of seconds it traveled (20) so you're equation would be 20x30 which results in 600. This means the ship has traveled 600 ft. in 20 seconds meaning it is 600 ft. close to you. To get the final answer 1400 you take it's original distance (2000) and subtract how far it has traveled since then (600) so you would get 2000-600=1400 ft. away

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Every year, a car loses 15% of the value it had the year before. If the car's initial value is $ 24,000, then how long will it t
ella [17]

Answer:

4.62 years

Step-by-step explanation:

Half the car's value =>$24,000/2 = $12,000

The formula for exponential decrease =

y = a(1 - r)^t

y = Initial value = $24,000

a = Value after time t = $12,000

r = Decrease rate = 15% = 0.15

t = time in years =??

Hence,

24,000 = 12000 ( 1 - 0.15)^t

Divide both sides by 12000

24000/12000 = 12000 ( 0.85)^t/ 12000

2 = 0.85^t

We take the logarithm of both sides

log 2 = log (0.85)^t

log 2 = t log 0.85

Divide both sides by log 0.85

t = log 2/log 0.85

t = 4.62098120373 years

Approximately = 4.62 years

It would take 4.62 years to be worth half the initial price

8 0
3 years ago
Only 23 out of 50 people in the class passed the exam. What percent of the class passed the exam?
Black_prince [1.1K]

Answer:

46%

Step-by-step explanation:

For percents, we want to make the number out of 100.  23/50 is the same as 46/100.  From fraction knowledge, 46/100 is 46%.

5 0
3 years ago
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Step-by-step explanation:

6 0
2 years ago
Twelve girls try out for the hockey team. Two play goal, four play defence, and the rest play forward. How many different starti
Leto [7]
There are 2 choices for 1 goalie, 4C2 possible combinations for the 2 defence and 6C3 combinations for the 3 forward. Therefore the total number of different lineups is found from:
2\times4C2\times6C3=240
There are 240 possible different lineups.
4 0
3 years ago
What is the x-intercept of the line containing the points (-6, 10) and (12,-2)?
Dovator [93]

Answer:

b.4

Step-by-step explanation:

cause i took the test and it said it was right

5 0
3 years ago
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