Problem: shawn invested one half of his savings in a bond that paid simple interest for 2 years and received $ 400 as interest . he invested the remaining in a bond that paid compound interest , interest being compounded annually , for the same 2 years at the same rate of interest and received $ 605 as interest . what was the value of his total savings before investing in these two bonds ?
Rationale: "so , we know that shawn received 20 % of the amount he invested in a year . we also know that in one year shawn received $ 200 , thus 0.2 x = $ 200 - - > x = $ 1,000 . since , he invested equal sums in his 2 bonds , then his total savings before investing was 2 * $ 1,000 = $ 2,000 . answer : c"
annotated_formula: multiply(divide(multiply(divide(400, 2), divide(400, 2)), subtract(605, 400)), 2)