Answer:
The possible parking lengths are 45.96 feet and 174.031 feet
Step-by-step explanation:
Let x be the length of rectangular plot and y be the breadth of rectangular plot
A rectangular parking lot must have a perimeter of 440 feet
Perimeter of rectangular plot =2(l+b)=2(x+y)=440
2(x+y)=440
x+y=220
y=220-x
We are also given that an area of at least 8000 square feet.
So,
So,
So,
General quadratic equation :
Formula :
So, The possible parking lengths are 45.96 feet and 174.031 feet
This is what I got:
60/50 = X/70
70x60/59 = X
X = 84
Answer:
a. $45.54; b. $51.42; c. See below
Step-by-step explanation:
a. 193 min
Service charge = $40.00
1st 100 min @ 0.021 = 2.10
Next 93 min @0.037 = <u> 3.44
</u>
Total = $45.54
b. 317 min
Service charge = $40.00
1st 100 min @ 0.021 = 2.10
2nd 100 min @ 0.037 = 3.70
117 min @ 0.048 = <u> 5.62</u>
Total = $51.42
c. Piecewise function
The charge is
- $40.00 + 0.021t if t ≤ 100
- $42.10 + 0.037(t - 100) if 100 < t ≤ 200
- $45.80 + 0.048 (t - 200) if t > 200
which we can write like this:
Average speed = total distance travelled / time taken
in this case total distance = 2x miles
time taken for first half of the journey = x/10 hours and for second part its x / 8 hours
average speed = 2x / ( x/10 + x/8) = 2 x / ( 4x + 5x / 40)
= 2x * 40 / 9x = 80 / 9 mph 8.89 mph