7. Your subscription to Investing Wisely Weekly is about to expire. You plan to subscribe to the magazine for the rest of your life, and you can renew it by paying $85 annually, beginning immediately, or you can get a lifetime subscription for $850, also payable immediately. Assuming that you can earn 6.0% on your funds and that the annual renewal rate will remain constant, how many years must you live to make the lifetime subscription the better buy

Jillian wants to plan her finances because she wants to create and maintain her tax and credit history. she also wants to chart out all of her financial transactions for the past federal fiscal year. what duration should jillian consider to calculate her finances? from (march or january )to (december or april)?

David consumes two things: gasoline (g) and bread (b). david's utility function is u(g, b) = 10g^0.25 b^0.75. use the lagrange technique to solve for david's optimal choices of gasoline and bread as a function of the price of gasoline, p_g, the price of bread, p_b, and his income m. with recent decrease in the price of gasoline (maybe due to external shock such as shale gas production) does david increase his consumption of gasoline? for david, how does partial differential g/partial differential p_g depend on his income m? that is, how does david's change in gasoline consumption due to an increase in the price of gasoline depend on his income level? to answer these questions, find the cross-partial derivative, |partial differential^2 g/partial differential m partial differential p_g.

Johnson company uses the allowance method to account for uncollectible accounts receivable. bad debt expense is established as a percentage of credit sales. for 2018, net credit sales totaled $6,400,000, and the estimated bad debt percentage is 1.40%. the allowance for uncollectible accounts had a credit balance of $61,000 at the beginning of 2018 and $49,500, after adjusting entries, at the end of 2018.required: 1. what is bad debt expense for 2018 as a percent of net credit sales? 2. assume johnson makes no other adjustment of bad debt expense during 2018. determine the amount of accounts receivable written off during 2018.3. if the company uses the direct write-off method, what would bad debt expense be for 2018?