Answer:
In the first account was invested 
at 3%
In the second account was invested 
at 5%
Step-by-step explanation:
we know that
The simple interest formula is equal to
where
I is the Interest Value
P is the Principal amount of money to be invested
r is the rate of interest
t is Number of Time Periods
in this problem we have
First account
substitute in the formula above
Second account
substitute in the formula above
Remember that
The interest is equal to 
so
Adds the interest of both accounts
therefore
In the first account was invested at 3%
In the second account was invested 
at 5%
Answer:
x = -9
Step-by-step explanation:
-18+24 = -2(x+6) Distribute and simplify
6 = -2x-12 Add 12 to both sides
18 = -2x Divide by -2 on both sides
-9 = x Here's your answer
Hope this helps! :D
Answers:
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Explanation:
Part (a)
Lines LN and PN have the point N in common. This is the intersection point.
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Part (b)
To name a plane, pick any three non-collinear points that are inside it. We cannot pick points H, J, K together because infinitely many planes pass through it. Imagine the piece of flat paper able to rotate around this axis (like a propeller). Having the points not all on the same line guarantees we form exactly one unique plane.
I'll pick the non-collinear points P, H and J to get the name Plane PHJ. Other answers are possible.
------------------
Part (c)
Points H, J and K are collinear as they are on the same line. Pick either H or K to fill out the answer box. I'll go with point K
------------------
Part (d)
Point P and line HK are coplanar. They exist in the same flat plane, or on the same sheet of flat paper together.
We can think of that flat plane as the ground level while something like point N is underground somewhere. So point N and anything on that ground plane wouldn't be coplanar.
Note: there are other possible names for line HK such as line JH or line JK. The order doesn't matter when it comes to naming lines.
Answer:
28.27 inches
Step-by-step explanation:
circumference of a circle = πd
9π = 28.27
