Answer: 2.5 hours is the answer
Step-by-step explanation:
It took Travis 2.5 hours to complete 3/4 of his trip. To find the average speed, we need to find his speed during 3/4 of the trip and then the 52.5 miles.
So you know that 52.5 is 1/4 of his total trip. That means if we multiply that by 3, that's how many miles he traveled in 2.5hrs. (157.5)
To calculate speed, divide distance by time.
For 3/4 of his trip (157.5), it took him 2.5 hours.
157.5/2.5 = 63mph
For the remaining 52.5 miles, it took him an hour.
52.5/1 = 52.5mph
Now average those two speeds to get the average speed for the whole trip.
(63+52.5)/2= 57.6mph
Answer:
1545.62
Step-by-step explanation:
The calculation of compound interests uses this formula:
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Where A = total amount, P = principal or amount of money deposited, r = annual interest rate, n = number of times compounded per year and t = time in years.
So, if we plug-in the numbers of the problem we have:
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Which gives us:

For a grand total of 1,545.62 including capital and interests.
Step-by-step explanation:
( y = 4x/5 + 2)
m1.m2 = -1
4/5.m2 = -1
m2 = -5/4
formula = y - y1 = m2 ( x - x1)
y - 3 = -5/4 ( x - 6)
y -3 = -5x /4 + 30/4
y = -5x /4 + 21/2
Rearrange them to slope-intercept form
y = 7x + 2
y = -(1/7) x + 8
product of their slopes is 7 * -1/7 = -1 so they are perpendicular