Answer:
50 years
Step-by-step explanation:
Given data
Principal= $500
Rate= 6%
Amount = $2000
The simple interest expression is given as
A=P(1+rt)
Substitute
2000= 500(1+0.06*t)
open bracket
2000=500+ 30t
2000-500=30t
1500=30t
t= 1500/30
t= 50 years
Hence the time is 50 years
Treat the matrices on the right side of each equation like you would a constant.
Let 2<em>X</em> + <em>Y</em> = <em>A</em> and 3<em>X</em> - 4<em>Y</em> = <em>B</em>.
Then you can eliminate <em>Y</em> by taking the sum
4<em>A</em> + <em>B</em> = 4 (2<em>X</em> + <em>Y</em>) + (3<em>X</em> - 4<em>Y</em>) = 11<em>X</em>
==> <em>X</em> = (4<em>A</em> + <em>B</em>)/11
Similarly, you can eliminate <em>X</em> by using
-3<em>A</em> + 2<em>B</em> = -3 (2<em>X</em> + <em>Y</em>) + 2 (3<em>X</em> - 4<em>Y</em>) = -11<em>Y</em>
==> <em>Y</em> = (3<em>A</em> - 2<em>B</em>)/11
It follows that

Similarly, you would find

You can solve the second system in the same fashion. You would end up with

Answer:
I'm pretty sure it's C
Step-by-step explanation:
Answer:
The average is 124
Step-by-step explanation:
When x=2 substitute into the equation given above
-3^2+79
9+79=88...(1)
When x=4
-3^4+79
81+79=160(2)
Average of (1) and (2)
160+88/2
=248/2
=124
Therefore the average rate is 124
9514 1404 393
Answer:
41.2 in
Step-by-step explanation:
The short side of a "golden rectangle" is 2/(1+√5) times the length of the long side:
(66.6 in)(0.618034) ≈ 41.161 in
The shorter side is 41.2 inches long.