Asimplified compound interest formula, f = p (1+r)^t, can be used to calculate the wealth accumulated in the account after a certain number of years. in this scenario, there is a one-time deposit and the interest compounds annually. derive the formula to calculate the value of a one-time deposit to ensure a specific final amount of money accumulated in the account. answer in complete sentences.

At which level will a manager use analytics to make decisions? operational level managerial level strategic level all of the above

Anew equipment has been proposed by engineers to increase the productivity of a certain manual welding operation. the investment cost is $25,000, and the equipment will have a market value of $5,000 at the end of a study period of five years. increased productivity attributable to the equipment will amount to $10,000 per year after operating costs have been subtracted from the revenue generated by the additional production. if marr is 10%, is investing in this equipment feasible? use annual worth method.

Fanning company is considering the addition of a new product to its cosmetics line. the company has three distinctly different options: a skin cream, a bath oil, or a hair coloring gel. relevant information and budgeted annual income statements for each of the products follow. skin cream bath oil color gel budgeted sales in units (a) 110,000 190,000 70,000 expected sales price (b) $8 $4 $11 variable costs per unit (c) $2 $2 $7 income statements sales revenue (a × b) $880,000 $760,000 $770,000 variable costs (a × c) (220,000) (380,000) (490,000) contribution margin 660,000 380,000 280,000 fixed costs (432,000) (240,000) (76,000) net income $228,000 $140,000 $204,000 required: (a) determine the margin of safety as a percentage for each product. (b) prepare revised income statements for each product, assuming a 20 percent increase in the budgeted sales volume. (c) for each product, determine the percentage change in net income that results from the 20 percent increase in sales. (d) assuming that management is pessimistic and risk averse, which product should the company add to its cosmetics line? (e) assuming that management is optimistic and risk aggressive, which product should the company add to its cosmetics line?