Aunt Kitty sells her home for $150,000$ which is then invested to earn $5\%$ annually. If her life expectancy is $10$ years, what is the maximum amount she can annually spend on a nursing, doctor's office, and taxes? If the return were to double to $10\%,$ will the amount she may spend each year more than double? If the return were to double, the amount that can annually be spent will more than double, less than double, or double? The amount will be equal to what amount?