A = P + Prt
A = P/P + Prt/P
A = P(1 + rt)
A/P = P(1 + rt)/P
A/P = 1 + rt
A/P - 1 = 1 - 1 + rt
A/P - 1 = rt
(A/P - 1)/t = rt/t
(A/P - 1)/t = r
Thus r = (A/P - 1)/t.
<h3>Answer:</h3>

<h3>Explanation:</h3>
You can try the choices to see which one works. The differences between an values double each time. They have the sequence 1, 2, 4, 8. So, you know that choices A) and D) do not work. They show the difference to be constant at 1 or 8. Since the differences are multiplied by 2, C) is a reasonable choice. Trying that, we find it describes the sequence perfectly:
a2 = 2·2 -1 = 3
a3 = 2·3 -1 = 5
a4 = 2·5 -1 = 9
a5 = 2·9 -1 = 17
___
Trying choice B on the last term, we have
... a5 = 3·a4 -3 = 3·9 -3 = <em>24 ≠ 17</em>
Answer:
x= -15/2 y=-33/2
Step-by-step explanation:
i dont know how you want to solve it but if it is "system of equations" then first solve for the first variable in on e of the equations, then substitute the result into the other equation.
I typed right on the problem set.
2x + 4 = 3(x - 2) + 1
2x + 4 = 3x - 6 + 1
2x + 4 = 3x - 5
9 = x
So x = 9