Answer:
the population of the city in the year 2035 is 126,226
Step-by-step explanation:
The population of a city is modeled by
P ( t ) represents the number of people and t is the number of years since 2014.
in the year 2014, the year t=0
we need to find the population in the year 2035
2035-2015= 21
so find population when t=21
Answer: the rate of the river's current is 14 mph.
Step-by-step explanation:
Let x represent the rate of the river's current.
The speed of the motor boat in still water is 35 mph.
Since the boat travelled more miles downstream than upstream at the same time, it means that while going downstream, it moved in the direction of the current and while going upstream, it moved against the direction of the current. The total speed downstream would be
(35 + x) mph and the total speed upstream would be (35 - x) mph.
Time = distance/speed
If the boat can travel 7 miles downstream, the time spent travelling downstream is
7/(35 + x)
At the same time it takes to travel 3 miles upstream, the time spent travelling upstream is
3/(35 - x)
Since the time is the same, then
7/(35 + x) = 3/(35 - x)
Cross multiplying, it becomes
7(35 - x) = 3(35 + x)
245 - 7x = 105 + 3x
3x + 7x = 245 - 105
10x = 140
x = 140/10
x = 14
91.3 Is the rounded answer
Answer:
1=3 2=1 3=4 42
Step-by-step explanation:
The response time includes the round-trip signal time plus the robot's travel time.
59 min = 2*(9.5 min) +travel time
59 min -2*(9.5 min) = travel time = 40 min
The speed is distance / travel time
speed = (52.8 m)/(40 min) = 1.32 m/min
The robot's average speed was 1.32 meters per minute.
