Answer: C
Step-by-step explanation:
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Options :
a.) P=1.005Po
b.) P=1.02Po
c.) P=Po(0.02/4)
d.) P=Po(4.02/4)
e.) P=Po(1+ 0.02/4)
Answer:
a.) P=1.005Po
d.) e.) P=Po(1+ 0.02/4)
Step-by-step explanation:
From the compound interest formula:
P = P0(1 + r/n)^t
Rate = 2% = 2/100 = 0.02
n = Number of compounding times per period, quarterly ; n = (12 /3) months
P = P0(1 + 0.02/4)^1
P = p0(1 + 0.02/4)
Simplifying further :
P = P0(1 + 0.005)
P = p0(1.005)
Answer:
Step-by-step explanation:
To find measures of angles m and n
The triangle to the left has three sides of equal length.
This means that it will also have three angles of equal measure.
The internal angles of a triangle sum to 180°
So the internal angles of the left triangle are 180/3 = 60°
The top right angle is made up of one of the 60° angles and angle n
60 + n = 90
n = 30°
Again the internal angles of a triangle sum to 180°, so the right triangle
m + n + 90 = 180
m = 180 - 90 - 30
m = 60°
or we could realize that the top and bottom horizontal lines are parallel because the vertical line on the right makes right angles to both of them.
Knowing that they are parallel, we also know that angle m and the top right 60° angle of the left triangle are opposite internal angles of a line intersecting parallel lines and must be identical angles, therefore
m = 60°
Answer:
![\sqrt[n]{a} =a^{\frac{1}{n}}](https://tex.z-dn.net/?f=%5Csqrt%5Bn%5D%7Ba%7D%20%20%3Da%5E%7B%5Cfrac%7B1%7D%7Bn%7D%7D)
Explanation:
Roots of real numbers can be represented by <em>radicals</em> or by<em> exponents. </em>
First, I present some examples to show how exponents and radicals are related, and then generalize.

![\sqrt[3]{8}=(8)^{\frac{1}{3}}=(2^3)^{\frac{1}{3}}=(2)^{\frac{3}{3}}=2^1=2](https://tex.z-dn.net/?f=%5Csqrt%5B3%5D%7B8%7D%3D%288%29%5E%7B%5Cfrac%7B1%7D%7B3%7D%7D%3D%282%5E3%29%5E%7B%5Cfrac%7B1%7D%7B3%7D%7D%3D%282%29%5E%7B%5Cfrac%7B3%7D%7B3%7D%7D%3D2%5E1%3D2)
When you write 5² = 25, then 5 is the square root of 25.
And in general, if n is a positive integer and
, then
is the nth root of x.
Also, if n even (and positive) and
is positive, then
is the positive nth root of 
Thus,
![\sqrt[n]{a} =a^{\frac{1}{n}}](https://tex.z-dn.net/?f=%5Csqrt%5Bn%5D%7Ba%7D%20%20%3Da%5E%7B%5Cfrac%7B1%7D%7Bn%7D%7D)