Given: Principal Amount (P) = $300
The rate of interest (r) = (3/4) compounded quarterly.
No. quarters in 3 years (n) = 3×4 = 12
To find: The amount for the CD on maturity. Let it will be (A)
Formula: Compound Amount (A) = P [ 1 + (r ÷100)]ⁿ
Now, (A) = P [ 1 + (r ÷100)]ⁿ
or, = $300 [ 1 + (3 ÷400)]¹²
or, = $300 × [ 403 ÷ 400]¹²
or, = $300 × 1.0938069
or, = $ 328.14
Hence, the correct option will be C. $328.14
I believe that the answer is C
Thus L.H.S = R.H.S that is 2/√3cosx + sinx = sec(Π/6-x) is proved
We have to prove that
2/√3cosx + sinx = sec(Π/6-x)
To prove this we will solve the right-hand side of the equation which is
R.H.S = sec(Π/6-x)
= 1/cos(Π/6-x)
[As secƟ = 1/cosƟ)
= 1/[cos Π/6cosx + sin Π/6sinx]
[As cos (X-Y) = cosXcosY + sinXsinY , which is a trigonometry identity where X = Π/6 and Y = x]
= 1/[√3/2cosx + 1/2sinx]
= 1/(√3cosx + sinx]/2
= 2/√3cosx + sinx
R.H.S = L.H.S
Hence 2/√3cosx + sinx = sec(Π/6-x) is proved
Learn more about trigonometry here : brainly.com/question/7331447
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Answer:
B. 
Step-by-step explanation:
GIven that 
and 
, and that point M is the midpoint of AB, the midpoint can be determined as a vectorial sum of A and B. That is:
The location of B is now determined after algebraic handling:
Then:
Which corresponds to option B.
Answer: Stratified sampling
Step-by-step explanation:
Stratified sampling is a random sampling method in which the population is divided into non-coinciding groups are called strata and a sample is picked out by some design within each stratum.
Given: A researcher wants to survey people from different age groups to analyze voting patterns.
Thus he will make different groups according to different ages to analyze voting patterns that are called stratum.
Thus, Stratified sampling best accomplish this goal.
