Cesium-137 is a particularly dangerous by-product of nuclear reactors. It has a half-life of 30 years. It can be readily absorbed into the food chain and is one of the materials that would be stored in the proposed waste site at Yucca Mountain. Suppose we place 3000 grams of cesium-137 in a nuclear waste site. (a) How much cesium-137 will be present after 30 years, or one half-life?(b) Find an exponential formula that gives the amountGin grams of cesium-137 remaining in the site afterhhalf-lives.(c) How many half-lives of cesium-137 is200years? Round your answer to two decimal places.(d) Use your answer to part (c) to determine how much cesium-137 will be present after200years. Round your answer to the nearest whole number.