Answer: option c.
Step-by-step explanation:
You need to remember the identity:
The inverse of the tangent function is arctangent. You need to use this to calculate the angle "R":
You know that you need to find the measure of "R" and 
(which is the opposite side) and 
(which is the adjacent side), you can sustitute values into
Then, you get:
Use the formula A=p(1+r)^n
where
A= value of investment
r= rate
n= time period
p= amount invested
in this question
r= 5.75% but compounded quarterly means divide this by 4
r= 23/1600
n=7*4
n=28
p= $1200
A=1200(1+23/1600)^28
A= $1789.54
Therefore the value of her investment in 7 years is $1789.54
a= 34 degrees
b= 28 degrees
c= 62 degrees
Step-by-step explanation:
First you know that b is 1/2 of 56 degrees or 28.
The triangle with the a in it is isoceles because the two sides are both radii.
In the triangle the top angle = 112 because it is a centeral angle to the 112 arc.
Angle a and opposite to a are equal and then have to be 34 degrees to equal 180.
We know two arc lengths are 112 and 56 and the one with angle a has to be 34x2 or 68.
a whole circle equals 360.
360-56-68-112 = 124
Angle c = 1/2 of 124, or 62 degrees
Answer:
30%
Step-by-step explanation:
(plastic beads)/(beads on clearance) = 6/20 = 30/100 = 30%
_____
A percentage is a representation of a fraction that has 100 as a denominator. The percent sign (%) is just a shorthand way to write "divided by 100" (/100). The word "percent" means "per hundred", or "divided by 100."
Here, the given fraction (6/20) can be multiplied by 5/5 to make it have a denominator of 100.
