You and 5 friends are in a math club. A sponsor pays $75 to rent a bus to get to competition, a $100 entry fee for the team, and
1 answer:
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Answer:
The crossover point for Time
Step-by-step explanation:
From the question we are told that
The total rooms rented for the year is
Time's fixed cost is r = $61,000
Time's variable cost is $12.5 per room
Duffy's Maid Service fixed cost is $25,000
Duffy's Maid Service variable cost is $18.00 per room
The cross over point for Time is mathematically represented as
substituting values
Answer:
a). 59.049°C
b). 2.1179 seconds
Step-by-step explanation:
Expression representing the final temperature after decrease in temperature of the metal from 100°C to T°C is,
T =
where x = duration of cooling
a). Temperature when x = 5 seconds
T = 100(0.9)⁵
= 59.049
≈ 59.049°C
b). If the temperature of the metal decreases from 100°C to 80°C
Which means for T = 80°C we have to calculate the duration of cooling 'x' seconds
80 =
0.8 =
By taking log on both the sides
log(0.8) =log[]
-0.09691 = x[log(0.9)]
-0.09691 = -0.045757x
x =
x = 2.1179
x ≈ 2.1179 seconds