Which graph best represents the solution to 5x-7=21
2 answers:
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Answer:
rate = natural log (Total / Principal) / Years
We need 5,000 to become 10,000 in 10 years so,
rate = natural log (Total / Principal) / Years
rate = natural log(10,000 / 5,000) / 10
rate = natural log(2) / 10
rate = 0.69314718056 / 10
rate = .069314718056 which equals
rate = 6.9314718056 per cent
Source: https://www.1728.org/rate2.htm
(scroll to the bottom)
Step-by-step explanation:
Answer:
The cable car’s elevation will be 750 feet after 15 minutes or 65 minutes.
Step-by-step explanation:
Given: A cable car begins its trip by moving up a hill. As it moves up, it gains elevation at a constant rate of 50 feet/minute until it reaches the peak at 2,000 feet.
Then, total time taken to reach the peak = (Distance) ÷ (speed)
= (2,000 feet) ÷ ( 50 feet/minute)
= 40 minutes
Then, as the car moves down to the hill’s base, its elevation drops at the same rate.
The equation that models the cable car’s elevation, e, after t minutes is
e= (constant rate)|t- time to reach peak |+ Peak's height
When the cable car’s elevation will be 750 feet after minutes, then we have
Time cannot be negative, so the cable car’s elevation will be 750 feet after 15 minutes or 65 minutes.