0.032x+0.041 (1500-x)=54.3
Solve for x
0.032x+61.5-0.041x=54.3
0.032x-0.041x=54.3-61.5
-0.009x=-7.2
X=7.2/0.009
X=800 invested at 3.2%
1500-800=700 invested at 4.1%
Answer:
yes it square root is irational
If you're supposed to find the measure of the arc:
The minor arc CD has the same measure as the central angle it subtends. In this case, arc CD has measure 50º. In radians, that's
50º * (π/180 rad/º) = 5π/18 rad
If you instead meant to ask about finding the length of the arc CD, recall that arc lengths and their subtended central angles occur in a fixed ratio equal to the ratio of the circle's total circumference to 2π rad. In other words, if <em>L</em> is the length of the minor arc CD, then
<em>L</em> /(5π/18 rad) = 2π (7 cm) / (2π rad)
==> <em>L</em> = 35π/18 cm
(Notice that arc measure is given radians, while arc length is given in cm, which is why I offer two different answers here.)
The correct answers are 1. A, 2. C, 3. D, 4. C, 5. A
