Answer:
2 units.
Step-by-step explanation:
In this question we use the Pythagorean theorem which is shown below:
Given that
The right triangle OMP
The hypotenuse i.e OM is the circle radius =5 units.
The segment MP = 4 units length
Therefore



So OP is 3
Now as we can see that ON is also circle radius so it would be 5 units
And,
ON = OP + PN
So,
PN is
= ON - OP
= 5 units - 3 units
= 2 units
Answer:
Number of year to get $10,000 as interest = 7.5 year (Approx)
Step-by-step explanation:
Given:
Initial investment = $20,000
Interest on investment = $10,000
Rate of interest = 5.6% = 0.056
Find:
Number of year to get $10,000 as interest:
Computation:
![Interest\ on\ investment = Initial\ investment[(1+r)^n-1]\\\\10,000 = 20,000[(1+0.056)-1]\\\\0.5=(1.056)^n-1\\\\1.5 =(1.056)^n\\\\n=7.44](https://tex.z-dn.net/?f=Interest%5C%20on%5C%20investment%20%3D%20Initial%5C%20investment%5B%281%2Br%29%5En-1%5D%5C%5C%5C%5C10%2C000%20%3D%2020%2C000%5B%281%2B0.056%29-1%5D%5C%5C%5C%5C0.5%3D%281.056%29%5En-1%5C%5C%5C%5C1.5%20%3D%281.056%29%5En%5C%5C%5C%5Cn%3D7.44)
Number of year to get $10,000 as interest = 7.44
Number of year to get $10,000 as interest = 7.5 year (Approx)
Answer:
MP=(0.5,4.5)
Step-by-step explanation:
USE THIS FORMULA:
M=(x1+x2/2,y1+y2/2)
Answer:
slope=1/3
Step-by-step explanation:
y=mx+b
2=m*6+0
m=1/3
Answer:
Is a consistent independent system
Step-by-step explanation:
we have
-----> isolate the variable y
----> equation A
-----> isolate the variable y
---> equation B
Compare equation A and equation B
We can affirm that
The slopes are not equal ( so the lines are not parallel)
The lines are different
The product of their slopes is equal to -1 (the lines are perpendicular)
so
The system of equations has only one solution
therefore
Is a consistent independent system