Answer:
Y is 90 degrees.
Step-by-step explanation:
This is an equalterial triangle which means all of the angles are the same. The angle for the upper part of the triangle is 60 as well. We can do 2x=60 because they add up to the angle which is 60. This gives us x=30. If x=30 and the other angle is 60, then the other angle has to be 90 because all triangle has an angle sum of 180. So 30 +60 + 90= 180. Hope this helps!
No, probably is on a scale between 0 and 1. Anything beyond those numbers is mathematically impossible. Since 3/2 = 1.5, it is not valid
Assuming simple interest (i.e. no compounding within first year), then
At 6%, interest = 10000*0.06=$600
At 9% interest = 10000*0.09 = $900
Two ways to find the ratio
method A. let x=proportion at 6%
then
600x+900(1-x)=684
Expand and solve
300x=900-684=216
x=216/300=0.72 or 72%
So 10000*0.72=7200 were invested at 6%
10000-7200=2800 were invested at 9%
method B: by proportions
Ratio of investments at 6% and 9%
= 900-684 : 684-600
=216 : 84
= 18 : 7
Amount invested at 6% = 18/(18+7) * 10000 = 0.72*10000 = 7200
Amount invested at 8% = 7/(18+7)*10000=0.28*10000=2800
Answer:
i think the given graph is inverse
Answer:
1. B
2. A
Step-by-step explanation:
1.
10^{-2} means that you move the decimal back two times
B is the only option that represents that correctly.
2.
5 * 10^{4} = 50000
2.5 * 10^{2} = 250
50000/250 = 200
Out of the options, A is the only option in which the equation also equals 200.
