Afund starts with a zero balance at time zero. the fund accumulates with a varying force of interest : δ t = 2 t t 2 + 1 for t > 0 a deposit of $100,000 is made at time 2. calculate the number of years from the time of deposit for the fund to double.

Lynch company manufactures and sells a single product. the following costs were incurred during the company’s first year of operations: variable costs per unit: manufacturing: direct materials $ 12 direct labor $ 6 variable manufacturing overhead $ 1 variable selling and administrative $ 1 fixed costs per year: fixed manufacturing overhead $ 308,000 fixed selling and administrative $ 218,000 during the year, the company produced 28,000 units and sold 15,000 units. the selling price of the company’s product is $56 per unit. required: 1. assume that the company uses absorption costing: a. compute the unit product cost. b. prepare an income statement for the year. 2. assume that the company uses variable costing: a. compute the unit product cost. b. prepare an income statement for the year.

Cash flows during the first year of operations for the harman-kardon consulting company were as follows: cash collected from customers, $385,000; cash paid for rent, $49,000; cash paid to employees for services rendered during the year, $129,000; cash paid for utilities, $59,000. in addition, you determine that customers owed the company $69,000 at the end of the year and no bad debts were anticipated. also, the company owed the gas and electric company $2,900 at year-end, and the rent payment was for a two-year period.

Describe three scenarios in which you might utilize mathematics to investigate a crime scene, accident scene, or to make decisions involving police practice. be sure to explain how math is used in police as they work through each scenario.