Find the exact value of tan(pi/12) using the sum and difference formulas
2 answers:
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The first step is to section the given daigram. It would be shown in the diagram below
Looking at the diagram,
Area of family room = 5.5 * 24 = 132 square feet
Area of hallway = 15.5 * 4 = 62 square feet
Total area to be covered with carpet is
132 + 62 = 194 square feet
Since the cost per square foot is $4, then the cost of putting carpet in the family room and hallway is
194 * 4 = $776* 4 = $776
Given:
Initial number of bacteria = 3000
With a growth constant (k) of 2.8 per hour.
To find:
The number of hours it will take to be 15,000 bacteria.
Solution:
Let P(t) be the number of bacteria after t number of hours.
The exponential growth model (continuously) is:
Where, is the initial value, k is the growth constant and t is the number of years.
Putting in the above formula, we get
Taking ln on both sides, we get
Therefore, the number of bacteria will be 15,000 after 0.575 hours.