Answer: 10cm squared
Step-by-step explanation:
pix15 squared =47.12(2dp)
pix18 squared =56.75 (2dp)
difference =56.75-47.12=9.63
=10cm to nearest square centimetre
"Simple interest" means the interest goes into a separate bucket, and
it just waits there for you to come and get it. It <em><u>doesn't</u></em> get added to the
amount in the account, so next year, you don't get interest on the interest.
4 percent of $2000 is (0.04 x 2000) = $80 .
That's how much interest you get each year.
At the end of 4 years, you have (4 x $80) = <u>$320</u> in the interest bucket.
(And of course, you still have the original $2000 in the account.)
Answer:
a. cosθ = ¹/₂[e^jθ + e^(-jθ)] b. sinθ = ¹/₂[e^jθ - e^(-jθ)]
Step-by-step explanation:
a.We know that
e^jθ = cosθ + jsinθ and
e^(-jθ) = cosθ - jsinθ
Adding both equations, we have
e^jθ = cosθ + jsinθ
+
e^(-jθ) = cosθ - jsinθ
e^jθ + e^(-jθ) = cosθ + cosθ + jsinθ - jsinθ
Simplifying, we have
e^jθ + e^(-jθ) = 2cosθ
dividing through by 2 we have
cosθ = ¹/₂[e^jθ + e^(-jθ)]
b. We know that
e^jθ = cosθ + jsinθ and
e^(-jθ) = cosθ - jsinθ
Subtracting both equations, we have
e^jθ = cosθ + jsinθ
-
e^(-jθ) = cosθ - jsinθ
e^jθ + e^(-jθ) = cosθ - cosθ + jsinθ - (-jsinθ)
Simplifying, we have
e^jθ - e^(-jθ) = 2jsinθ
dividing through by 2 we have
sinθ = ¹/₂[e^jθ - e^(-jθ)]
