A.) P(t) = P0e^(kt)
P(20/60) = 40 e^(20k/60)
80 = 40 e^(k/3)
e^(k/3) = 80/40 = 2
k/3 = ln(2)
k = 3ln(2)
b.) P(8) = 40(2)^24 = 40(16777216) = 671088640 cells
d.) Rate of change = e^(8k) = e^(8(3ln(2))) = e^(24ln(2)) = e^(16.6355) = 16777216 cells/hour
e.) P(t) = 40(2)^(3t); t in hours
1,000,000 = 40(8)^t
25,000 = 8^t
ln(25,000) = t ln(8)
t = ln(25,000)/ln(8) = 4.87 hours
Answer:
Refer to the explanation provided
Detailed explanation:
Variable Name R2 value Adj R2 value
Earnings Per Share 0.086535 0.077214
Earnings Per Share,
Dividends Per Share 0.103976 0.085501
Earnings Per Share,
Dividends Per Share,
Average Yield 0.180303 0.154687
Earnings Per Share,
Dividends Per Share,
Average Yield,
Return on Equity 0.183215 0.148824
Earnings Per Share,
Dividends Per Share,
Average Yield,
Return on Equity,
Total Assets 0.184669 0.141301
Earnings Per Share,
Dividends Per Share,
Average Yield,
Return on Equity,
Total Assets,
Total Revenues 0.187297 0.134865
Answer: a) 1791 seconds
b) 29701 seconds
Step-by-step breakdown:
1 US gallon = 0.134 cubic feet
It takes 20 seconds to fill a 2-gallon watering can with the garden hose. Converting 2 gallons into cubic feet results in
2 × 0.134 = 0.268 cubic feet
a) The inflatable pool has dimensions of 3 feet wide, 8 feet long, and 1 foot deep.
Volume = 3 × 8 × 1 = 24 cubic feet
If it takes 0.268 cubic feet = 20 seconds
Then 24 cubic feet = (24 × 20)/0.268
= 1791 seconds
b) The formula for the volume of a cylinder is πr²h
Diameter = 13 feet
Radius = diameter/2 = 13/2 = 6.5
The circular pool's volume calculates to
3.14 × 6.5² × 3 = 397.995 cubic feet
If it takes 0.268 cubic feet = 20 seconds
Then 397.995 cubic feet = (397.995 × 20)/0.268
= 29701 seconds
At Buffalo Bills, the cost for chicken wings is 8 wings for $7.
The price for a single wing at Buffalo Bills is 
.
At Buffalo Mild Wings, the offer is 12 wings for $10.
The price for one wing at Buffalo Mild Wings is 
.
Wingers offers 20 wings for $17.
The cost for a single wing at Wingers is 
.
By evaluating the prices of wings at these three places, we find that Buffalo Mild Wings has the lowest cost, at $0.833 per wing.
