<h2>
Option C is the correct answer.</h2>
Step-by-step explanation:
Diameter, D = 42 feet
Circumference = πD = π x 42 = 131.95 feet
Number of rotations per minute = 3
Total time = 5 minutes
Total rotations = 5 x 3 = 15
Distance traveled per rotation = 131.95 feet
Distance traveled in 15 rotations = 15 x 131.95 = 1978 feet
Option C is the correct answer.
Step-by-step explanation:
(a) If g is the number of gallons left in the tank, and t is the time in hours since 8AM:
g = 8 gal − (1 gal / 24 mi) (60 mi / 1 hr) (t hr)
g = 8 − 2.5t
(b) If d is the distance traveled:
d = 60 mi/hr × t hr
d = 60t
(c) When George runs out of gas, g = 0.
0 = 8 − 2.5t
t = 3.2
The distance he travels is:
d = 60(3.2)
d = 192
George travels 192 miles.
3.2 hours after 8AM, the time is 11:12AM.
9514 1404 393
Answer:
100°
Step-by-step explanation:
Angle AKC is a vertical angle with angle BKD, so has the same measure. Since K is the center of the circle, arc AC has the same measure as angle AKC: 100°.
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A diagram may help.
This is the concept of commercial arithmetic, to solve for the time taken for loan of $548,048 to earn an interest of 50,000 given an interest rate of 9%. We use the formula:
A=P(1+r/100)^n
Where;
A=Future amount=548,048+50000=$598,048
P=principle
r=rate
n=time
thus;
598,048=548048(1+9/100)^n
1.0912=(1+0.09)^n
getting the logs of both sides
ln 1.0912=n ln1.09
thus
n=(ln 1.0912)/(ln 1.09)
n=1.01 years
The answer is 1 year
