Jimmy bought an x-box one for 700$. the value of the gaming console decreases 12% each year. about how long will it take for the value of the television to be reduced to 200$.

9.8 years

Step-by-step explanation:

To solve this we need to isolate "t" variable in the following equation:

Where the final amount is $200, initial amount is $700 (really xbox 1 was like $300 on release day but okaayyy), and the rate is 12% which is 0.12 in decimals (12%÷100=0.12).   By plugging in those values we obtain:

To solve for t we must use logarithms and so:

And so it would take approximately 9.8 years for that (overly expensive) xbox one to be reduced to $200.

~~~Brainliest Appreciated!~~~