Answer:
It will take 1 hour and 12 minutes for the two trains to be 192 miles apart
Step-by-step explanation:
The total distance between the two trains is the distance traveled by both trains. The distance traveled by the eastbound train is 85 mph * elapsed time and the distance traveled by the westbound train is 75 * elapsed time.
The combined formula is distance traveled = speed of first train * elapsed time + speed of second train * elapsed time.
Since the elapsed time is equal for both trains then the formula is modified as distance traveled = (speed of first train + speed of second train) * elapsed time.
Solving for the elapsed time
distance traveled = (speed of first train + speed of second train) * elapsed time
192 miles = (85mph + 75 mph) * elapsed time
192 miles = 160 mph * elapsed time
elapsed time = 192 miles / 160 mph
elapsed time = 1.2 hours
elapsed time = 1 hour and 12 minutes
It will take 1 hour and 12 minutes for the two trains to be 192 miles apart.
$75 to his 401k each month......75(12) = 900 in a yr.
his employee matched 16% of his contributions..
16% of 900 =
0.16(900) = 144
so the total amount contributed was : 900 + 144 = $ 1044
Answer: 126
Step-by-step explanation: substitute c for 41 and simplify
Answer:
1667
Step-by-step explanation:
(Margin of Error)² = (z × 0.5)²/n
Where n = number of samples
Minimum number of samples formula = (z × 0.5)²/ (Margin of Error)²
From the above question:
Margin of Error = 0.024
z = z score of a 95% confidence interval = 1.96
Minimum number of samples
= (1.96 × 0.5)²/(0.024)²
= 0.9604/(0.024)²
= 1667.3611111
Approximately to the nearest whole number = 1667
Therefore, the minimum number of samples is 1667
Answer:
using law of indices, A,D and E.