Answer:
32.8 miles
Step-by-step explanation:
Amy is driving to Seattle. Suppose that the remaining distance to drive (in miles) is a linear function of her driving time (in minutes). When graphed, the function gives a line with a slope of -0.95. See the figure below. Amy has 48 miles remaining after 31 minutes of driving. How many miles will be remaining after 47 minutes of driving?
Answer: The general equation of a line is given as y = mx + c, where m is the slope of the line and c is the intercept on the y axis. Given that the slope is -0.95, substituting in the general equation :
y = -0.95x + c
Amy has 48 miles remaining after 31 minutes of driving, to find c, we substitute y = 48 and x = 31. Therefore:
48 = -0.95(31) + c
c = 48 + 0.95(31)
c = 48 + 29.45
c = 77.45
The equation of the line is
y = -0.95x + 77.45
After 47 minutes of driving, the miles remaining can be gotten by substituting x = 47 and finding y.
y = -0.95(47) + 77.45
y = -44.65 + 77.45
y = 32.8 miles
If P=8, Then you would plug in 8 for P.
4(8)-2 = 30
Hope this helps :)
<span>Conditional Statement: "If an angle is 150 degrees, then it is an obtuse angle."
Converse: "If an angle is obtuse, then it is 150 degrees."</span>
Hope I Helped You!!! :-)
Have A Good Day!!!
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
1:15 pm + 5 minutes =1:20 PM You add 5 minutes because your watch is slow then subtract 3 minutes because you thought the watch was 3 minutes fast. real time is 1:17 PM
1:20 pm - 3 minutes = 1:17 PM
