Answer: m1 = 0.5
M2= 0.375
M3 = 2.25
M4 = 3.0
M5 = 13.5
M6 = 0.285
M7 = 7.0
Step-by-step explanation:
(20,40)-(15,30)=(5,10), m1=5/10=0.5
(18,48)-(12,32)=(6,16), m2=3/8=0.375
(72,32)-(27,12)=(45,20), m3=9/4=2.25
(60,20)-(45,15)=(15,5), m4=3.0
(243,18)-(27,2)=(216,16), m5=27/2=13.5
(24,84)-(18,63)=(6,21), m6=2/7=0.285...
(84,12)-(63,9)=(21,3), m7=7.0
Answer:
we know that
The formula to calculate continuously compounded interest is equal to
where
A is the Final Investment Value
P is the Principal amount of money to be invested
r is the rate of interest in decimal
t is Number of Time Periods
e is the mathematical constant number
we have
substitute in the formula above and solve for t
Simplify
Apply ln both sides
Remember that
so
0.37 feet.
The following data were obtained from the question:
Volume (V) = 4100 ft³
Height (h) = 1.8 miles
Radius (r) =?
Next, we shall convert 1.8 miles to foot.
This can be obtained as follow:
Recall:
1 mile = 5280 ft
Therefore,
1.8 miles = 1.8 × 5280 = 9504 ft
Finally, we determine the radius as follow:
Height (h) = 9504 ft
Pi (π) = 3.14
V = πr²h
4100 = 3.14 × r² × 9504
4100 = r² × 29842.56
Divide both side by 29842.56
r² = 4100/29842.56
Take the square root of both side
r = √(4100/29842.56)
r = 0.37 ft
Therefore, the radius of the hole is 0.37 feet.