Answer:
circumcenter
Step-by-step explanation:
If points Q, R, S are on a circle, the sides of that triangle are chords of the circle. The point where the perpendicular bisectors of those chords meet is the center of that circumcircle. It is named the circumcenter.
Answer:
(2x + 3)(x + 5)
Step-by-step explanation:
2x² + 3x + 15 = 0
(2x + 3)(x + 5)
2x + 3 = 0
2x = -3
x = -3/2
x + 5 = 0
x = -5
Answer:
150 students
Step-by-step explanation:
60% = 0.6
x + 0.6x = 240
1.6x = 240
x = 240/1.6
x = 150
<span>it depends how the interest is calculated, but there's not much of a difference
assuming its continuously compouned, you use this formula: A(t)=Pe^(rt), where A is the final amount, P is the initial investment, r is the interest, and t is the time in years
you want to find t such that A(t)=18,600 so 18,600=1000e^(.0675t)
you need to use logarithm to figure it out, take the natural log of both sides
the following properties will come into use:
ln(a*b)=ln(a)+ln(b)
ln(a^b)=bln(a)
ln(e)=1
taking the natural log
ln(18,600)=ln(1000e^(.0675t))
ln(18,600)=ln(1000)+ln(e^.0675t)
ln(18600)=ln(1000) + .0675t
now solve for t: t= (ln(18600)-ln(1000))/.0675
t=43.31</span>