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- - **When will the revenue even ?**
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When will the revenue even ?Hey, I have to solve this super easy task but to be honest I have no idea how. This isn't exactly finance but had nowhere else to post so I thought I'd give it a try here. Company A has a yearly revenue of 300000 and it increases by 5% a year. Company B has a yearly revenue of 200000 and it increases by 7% a year. How long untill the revenue is even and how much will both companies earn at that point ? Cheers! |

Assuming the interest compounds annually we have $A = 300000(1+0.05)^n$ $B = 200000(1+0.07)^n$ where $n$ is in years setting these equal to one another we get $300000(1+0.05)^n=200000(1+0.07)^n$ $\dfrac 3 2 = \left(\dfrac{1.07}{1.05}\right)^n$ $\log(1.5) = n\left(\log(1.07) - \log(1.05)\right)$ $n = \dfrac{\log(1.5)}{\log(1.07) - \log(1.05)} \approx 21.49yr$ |

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