HW 3 Writing assignment: 1.12.10 from textbook Fully explain your thought process for the above problem and clearly state your answer. Please show a graph of delta versus t for all 3 investments as part of yourjustilication and make sure you are answering ALL the questions asked in this problem to earn full credit. (l0) Mr. Valdez has $11},000 to invest at time I = 0, and three ways to invest it. Investment account I is governed by compound interest with an annual effective discount rate of 3%. Investment account II has force of interest equal to :41ng Investment account [II is governed by the accumulation function am) = (l .0058)\". MI. Valdez can transfer his moneyr between the three investments at any time. What is the nmimum amount he can accumulate at time! = 5'? IHINT: At all times. Mr. Valdez wishes to have his money in the account that has the greatest force of interest at that momenL Therefore he- gin by determining the fame of interest function for each of the investment accounts. Next decide for which time interval Mr. Valdez should have his money in each of the accounts. Assume that he accordingly moves his money to maximize his return. You will then need the accumutaticn functions for the accounts in order to determine Mr. Valdez's balance at t = 5. Remember to use Important Fact (114).]