Answer:
105.88%
Step-by-step explanation:
Efficiency:
Output/input × 100
4500/4250 × 100
105.8823529%
Answer: £14378
Step-by-step explanation:
We would apply the formula for determining compound interest which is expressed as
A = P(1+r/n)^nt
Where
A = total amount in the account at the end of t years
r represents the interest rate.
n represents the periodic interval at which it was compounded.
P represents the principal or initial amount deposited
From the information given,
P = £11000
n = 1 because it was compounded once in a year.
For the first 3 years,
r = 3.9% = 3.9/100 = 0.039
Therefore,
A = 11000(1+0.039/1)^1 × 3
A = 11000(1.039)^3
A = $12338
The new principal is 12338
For the next 4 years,
A = 12338(1.039)^4
A = 14378
In this question, every cups will be filled with 4 ounces yogurt. That mean, the lowest possible of the cups weight would be 4 ounces. After that the customer can the topping without exceeding 6 ounces of total weight. Since it total weight, that means from the 6 ounces there should be 4 ounces of yogurt. Then the maximum weight is 6 ounces
Minimum weight is 4 ounces and maximum weight is 6 ounces, so the answer would be 4,5,6 or any number between 4-6
Answer:990
Step-by-step explanation:
Since the president has 11 chances, the vice president has 10 chances, and the treasures has 9 chances, then there are 11 x 10 x 9 = 990 way of choosing them.
Or,
11P3 = 11!/(11 - 3)! = 11!/8! = (11 x 10 x 9 x 8!)/8! = 11 x 10 x 9 = 990
The cosine of an angle is the x-coordinate of the point where its terminal ray intersects the unit circle. So, we can draw a line at x=-1/2 and see where it intersects the unit circle. That will tell us possible values of θ/2.
We find that vertical line intersects the unit circle at points where the rays make an angle of ±120° with the positive x-axis. If you consider only positive angles, these angles are 120° = 2π/3 radians, or 240° = 4π/3 radians. Since these are values of θ/2, the corresponding values of θ are double these values.
a) The cosine values repeat every 2π, so the general form of the smallest angle will be
... θ = 2(2π/3 + 2kπ) = 4π/3 + 4kπ
b) Similarly, the values repeat for the larger angle every 2π, so the general form of that is
... θ = 2(4π/3 + 2kπ) = 8π/3 + 4kπ
c) Using these expressions with k=0, 1, 2, we get
... θ = {4π/3, 8π/3, 16π/3, 20π/3, 28π/3, 32π/3}
