To the closest year, how long will it take $$200$ to double if it is deposited and earns the following rates? $[$Notes: $(1)$ If you are using a financial calculator, you can enter the known values and then press the appropriate key to find the unknown variable. Then, without clearing the TVM register, you can $$override$$ the variable that changes by simply entering a new value for it and then pressing the key for the unknown variable to obtain the second answer. This procedure can be used in many situations, to see how changes in input variables affect the output variable. $(2)$ Some financial calculators will round up and give an integer answer to the problem, others will give the exact decimal solution. This problem is asking for the closest integer. So$,$ if the answer is $5\mathrm{.}16$ years, then round to $5.$ If the answer is $5\mathrm{.}73$ years, round to $6.]$ Do not round intermediate calculations. Round your answers to the nearest whole number.

$7\%.$

year$($s$)$

$12\%.$

year$($s$)$

$17\%.$

year$($s$)$

$100\%.$

year$($s$)$