The solution of the sin (10x) cos (7x) is 1/2 sin(17x ) + sin(3x).
<h3>What are the trigonometric identities?</h3>
We can calculate with the help of one of the trigonometric identities;
sin(A)cos(B) = 1/2 sin(A+B) + sin(A - B)
WE have given
sin (10x) cos (7x)
Here, A = 10x
B= 7x
So, sin(A)cos(B) = 1/2 sin(A+B) + sin(A - B)
sin(10x) cos(7x) = 1/2 sin(10x + 7x ) + Sin (10x - 7x)
sin(10x) cos(7x) = 1/2 sin(17x ) + sin(3x)
sin(10x) cos(7x) = 1/2 sin(17x ) + sin(3x)
Learn more about trigonometric ratios here:
brainly.com/question/22599614
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Answer:
yes
Step-by-step explanation:
Answer:
c =1/2
Step-by-step explanation:
2(3–5c) = 4(1–c) -1
Distribute
6 - 10c = 4 -4c -1
Combine like terms
6 - 10c =3 -4c
Add 10c to each side
6-10c+10c = 3 -4c+10c
6 = 3+6c
Subtract 3 from each side
6-3 = 3-3+6c
3 = 6c
Divide by 6
3/6 =6c/6
1/2 =c
First question: you're given
,
,
, and
. So the value of the account after 3 years is
![3500\left(1+\dfrac{0.027}1\right)^{1\cdot3}\approx3791.22](https://tex.z-dn.net/?f=3500%5Cleft%281%2B%5Cdfrac%7B0.027%7D1%5Cright%29%5E%7B1%5Ccdot3%7D%5Capprox3791.22)
making the answer B.
Second question:
and
. APY is given by
![\mathrm{APY}=\left(1+\dfrac rn\right)^n-1](https://tex.z-dn.net/?f=%5Cmathrm%7BAPY%7D%3D%5Cleft%281%2B%5Cdfrac%20rn%5Cright%29%5En-1)
so the APY in this case is
![\left(1+\dfrac{0.12}{12}\right)^{12}-1\approx0.1268=12.68\%](https://tex.z-dn.net/?f=%5Cleft%281%2B%5Cdfrac%7B0.12%7D%7B12%7D%5Cright%29%5E%7B12%7D-1%5Capprox0.1268%3D12.68%5C%25)
making the answer D.