Newton's Law of cooling is a differential equation that is simplified by using limits in temperature and time. The simplified equation is:
ln(T-Ts) = ln(T0-Ts) - kt
where
T is the final temperature
T0 is the initial temperature
Ts is the temperature of the surroundings
t is the time
k is a constant
Substituting the values:
ln(T-70) = ln(200-70) - (0.6)(2)
T = 109.16°F
The answer is B.
Answer:
Repeating
Step-by-step explanation:
-1/11 = -0.0909090909.....
Answer:
where is the graph?
Step-by-step explanation:
Answer:
BC = 30
Step-by-step explanation:
AC = 48, AC = AB + BC, AB = 2x + 2 , BC = 3x + 6 => AC = 2x + 2 + 3x + 6 =>
=> AC = 5x + 8 , AC = 48 => 5x = 40 => x = 8 , BC = 3x + 6 => BC = 24 + 6 = 30
Labor is $3 per bulb, there is 100 lamps, so the labor cost would be 100 x 3 = $300.
The cost of one bulb is 6.95, the total cost of bulbs is 100 x 6.95 = $695
The total fr bulbs and labor is $695 + $300 = $995
The bulbs last 5 years so, for a 10 year period you would need to change the bulbs twice so total cost for 10 years would be 995 x 2 = $1990.
To find the cost per year, divide the total cost by the number of years:
1990 / 10 = 199 per year. Round to $200 per year.
The answer is B.
