Answer:
[tex]0.05 + 0.1y = 0.12 - 0.06y[/tex]
Step-by-step explanation:
Given
(A)
[tex]Initial = 0.05[/tex]
[tex]Rate = 0.1[/tex]
(B)
[tex]Initial = 0.12[/tex]
[tex]Rate = -0.06[/tex] -- it is negative, because it decreases
Required
When both will be equal
The current amount is calculated using:
[tex]Amount = Initial + Rate * y[/tex]
Where:
[tex]y \to years[/tex]
For A, we have:
[tex]Amount = 0.05 + 0.1 * y[/tex]
[tex]Amount = 0.05 + 0.1y[/tex]
For B, we have:
[tex]Amount = 0.12 - 0.06*y[/tex]
[tex]Amount = 0.12 - 0.06y[/tex]
Both are equal when:
[tex]0.05 + 0.1y = 0.12 - 0.06y[/tex]