Answer:
Henry's balloon was farther from the town at the beginning and Henry's balloon traveled more quickly.
Step-by-step explanation:
The distance of Tasha's balloon from the town is represented by the function y = 8x+ 20 ............. (1)
Where y is the distance in miles from the town and x represents the time of fly in hours.
So, at the start of the journey i.e. at x = 0, y = 20 miles {From equation (1)} from the town.
Again, Tasha's balloon is traveling at a rate of 8 miles per hour.
Now, Henry's balloon begins 30 miles from the town and is 48 miles from the town after 2 hours.
So, Henry's balloon traveling with the speed of miles per hour.
Therefore, Henry's balloon was farther from the town at the beginning i.e. 30 miles from the town. And Henry's balloon traveled more quickly i.e at the rate of 9 miles per hour.
Answer:
$0.28 per 100 of value (B)
Step-by-step explanation:
Stephanie has a homeowner insurance policy of $355,000
Annual premium = $0.42 per 100
There is a deductible of $500
Stephanie has an annual out of pocket expense of
[($355,000/100) x $0.42] + $500 = $1,991
From the question, Stephanie now wants a new deductible amount of 1000.
Let X be the new annual premium
[(355,000X) / 100] + 1000 = 1991
3550X + 1000 = 1991
3550X = 1991 -1000
3550X = 991
X = 991/3550
X = 0.2791
X = 0.28 ( approximately)
The new annual premium is $0.28 per 100 of value