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Answer:
2 hours, 150 miles
Step-by-step explanation:
The relation between time, speed, and distance can be used to solve this problem. It can work well to consider just the distance between the drivers, and the speed at which that is changing.
<h3>Separation distance</h3>
Jason got a head start of 20 miles, so that is the initial separation between the two drivers.
<h3>Closure speed</h3>
Jason is driving 10 mph faster than Britton, so is closing the initial separation gap at that rate.
<h3>Closure time</h3>
The relevant relation is ...
time = distance/speed
Then the time it takes to reduce the separation distance to zero is ...
closure time = separation distance / closure speed = 20 mi / (10 mi/h)
closure time = 2 h
Britton will catch up to Jason after 2 hours. In that time, Britton will have driven (2 h)(75 mi/h) = 150 miles.
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<em>Additional comment</em>
The attached graph shows the distance driven as a function of time from when Britton started. The distances will be equal after 2 hours, meaning the drivers are in the same place, 150 miles from their starting spot.
Answer:
5. D (4,6)
6. B (7.8)
Step-by-step explanation:
5. Add the two X coordinates (6+2) and divide that by 2 (8/2=4), do the same for the two Y coordinates (4+8=12, 12/2=6)
6. Use the distance formula 
Input the coordinates 
Answer:
- {0, 11, 22, 33, 44, 55, 66, 77, 88, 99, 110}
Step-by-step explanation:
<u>The relationship is:</u>
y - is the money received for the coupons, x- is the number of coupons
<u>x is the domain and it includes whole numbers from 0 to 11:</u>
- x = {0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10}
<u>y is the range and it includes the set of numbers:</u>
- y = {0, 11, 22, 33, 44, 55, 66, 77, 88, 99, 110}
Answer:
$108.19
Step-by-step explanation:
First, converting R percent to r a decimal
r = R/100 = 3.6%/100 = 0.036 per year.
Solving our equation:
P = 119.88 / ( 1 + (0.036 × 3)) = 108.19494584838
P = $108.19
The principal investment required to get a total amount, principal plus interest, of $119.88 from simple interest at a rate of 3.6% per year for 3 years is $108.19.
Hope this helps!