I use this formula:
Money = Loan x ( 1 + % )^month
In 4 years you have to pay 20,000x(1+5%)^48 = 208,025 dollars.
In 2 years you must pay 20,000x(1+5%)^24 = 64,501 dollars. Hence, you save $143,524.
Use the lengths of corresponding sides
so answer is 16:40 which simplifies to 2:5.
So the question is asking to define and compare radian measure to degree measure, and base on my further research and further understanding about the said topic, the answer would be the following:
#1 in calculating arc length, the angle MUST be in radians.
#2 in formulas such as that for area of a circle (A = pi*r^2), pi (a measure of central angle) is already in radians.
#3 <span> in Calculus (which you may or may not study later on), angles are commonly expressed in radians and not in degrees.</span>
Problem 1)
The base of the exponential is 12 which is also the base of the log as well. The only answer choice that has this is choice B.
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Problem 2)
log(x) + log(y) - 2log(z)
log(x) + log(y) - log(z^2)
log(x*y) - log(z^2)
log[(x*y)/(z^2)]
Answer is choice D
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Problem 3)
log[21/(x^2)]
log(21) - log(x^2)
log(21) - 2*log(x)
This matches with choice B
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Problem 4)
Ln(63) = Ln(z) + Ln(7)
Ln(63)-Ln(7) = Ln(z)
Ln(63/7) = Ln(z)
Ln(9) = Ln(z)
z = 9
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Problem 5)
Ln(5x-3) = 2
5x-3 = e^2
5x = e^2+3
x = (e^2+3)/5
This means choice A is the answer
-√1.69 = -√(1.3×1.3) = -1.3
