1. On January 1, 2021, Ophelia bought $1,000 worth of Kumquat Corp. Its value had risen to $1,095 on July 1, 2020, and she bought another $X of it. By the end of the year, the total value of her Kumquat stock was $1400, and she sold it all. If her time-weighted yield rate was equal to her dollar-weighted yield rate, what was $X, and what is that yield rate? (Hint: set up an algebraic equation for both the time-weighted yield rate and dollar-weighted yield rate, in terms of X, and solve.) 1. On January 1, 2021, Ophelia bought $1,000 worth of Kumquat Corp. Its value had risen to $1,095 on July 1, 2020, and she bought another $X of it. By the end of the year, the total value of her Kumquat stock was $1400, and she sold it all. If her time-weighted yield rate was equal to her dollar-weighted yield rate, what was $X, and what is that yield rate? (Hint: set up an algebraic equation for both the time-weighted yield rate and dollar-weighted yield rate, in terms of X, and solve.)