Answer:
A=ε*l*c
A= 2- log₁₀ % T
Step-by-step explanation:
There is a linear relationship between the concentration of a sample and absorbance according to Beer-Lambert Law.
A=ε*l*c
where;
A=absorbance
ε=absorption coefficient
l=path length
c=concentration
Because % transmittance is transmittance value multiplied by 100 then, the equation that will allow us calculate absorbance from % transmittance value will be;
A= 2- log₁₀ % T where T is transmittance.
Answer:
1.06 × 5(r-4) = 45.05
Step-by-step explanation:
Let r represents the regular price of each T-shirt,
After getting $ 4 off in regular price,
New price of each T-shirt = r - 4,
Thus, new price of 5 T-shirts = 5 × price of each T-shirt
= 5(r - 4)
Since, there is 6% sales tax,
Then, the final price after discount = 5(r - 4) + 6% of (5(r-4))
= 5(r-4) + 0.06(5(r-4))
= 1.06 × 5(r-4)
According to the question,
1.06 × 5(r-4) = 45.05
Which is the required equation.
Answer:

model: 
profit in year 2017: 
Step-by-step explanation:
The sales increased from 2 billion dollars to 146 billion dollars in five years, so to find the increase in billion dollars per year, we just need to divide the increase by the amount of time:

To construct a model for these sales, we can use the year 2003 as the initial point of a linear equation:

the variable y will represent the profit in billion dollars, the variable x will represent our time, so we can use (t - 2003) in its place to represent the number of years since 2003 (t is the year we want to calculate), the constant 'a' will be our rate of 28.8, and the constant 'b' is the inicial value for the year 2003, that is, 2 (billions). So we have:

In the year 2017, we would have:



Pi/3 is equivalent to 60 degrees, as 2pi is equal to 360 degrees. cos(60) in a triangle yields 1/2, and sin(60) yields (3^(1/2))/2. Thus, -pi/3, or -60 degrees would be a fourth quadrant point on the unit circle and these values would be negative as well, at cos(-pi/3)=-1/2 and sin(-pi/3)=-(3^(1/2))/2
Answer:
C) 405.3 ft
Step-by-step explanation:
A triangle is a polygon with three angles and three sides. Types of triangle are scalene, isosceles, equilateral, right angled triangle.
Given a triangle with angles A, B, C and the corresponding sides directly opposite to the angles as a, b, c. The sine rule states that:

In the triangle formed by point C, ship B and ship A, we have ∠A = 82°, ∠B = 78°, c = AB = 140 ft. Hence:
∠A + ∠B + ∠C = 180° (sum of angles in a triangle)
82 + 78 + ∠C = 180
∠C + 160 = 180
∠C = 20°
Using sine rule:

a = distance from Ship B to the signal fire at point C