Derek can deposit $263.00 per month for the next 10 years into an account at Bank A. The first deposit will be made next month. Bank A pays 15.00% and compounds interest monthly. Derek can deposit $2,561.00 per year for the next 10 years into an account at Bank B. The first deposit will be made next year. Bank B compounded interest annually. What rate must Bank B pay for Derek to have the same amount in both accounts after 10 years

The monthly demand equation for an electric utility company is estimated to be p equals 60 minus left parenthesis 10 superscript negative 5 baseline right parenthesis x, where p is measured in dollars and x is measured in thousands of killowatt-hours. the utility has fixed costs of $3 comma 000 comma 000 per month and variable costs of $32 per 1000 kilowatt-hours of electricity generated, so the cost function is upper c left parenthesis x right parenthesis equals 3 times 10 superscript 6 baseline plus 32 x. (a) find the value of x and the corresponding price for 1000 kilowatt-hours that maximize the utility's profit. (b) suppose that the rising fuel costs increase the utility's variable costs from $32 to $38, so its new cost function is upper c 1 left parenthesis x right parenthesis equals 3 times 10 superscript 6 baseline plus 38 x. should the utility pass all this increase of $6 per thousand kilowatt-hours on to the consumers?