15. What annual rate compounded continuously is equivalent to an effective rate of 3%?
16. What annual rate r compounded continuously is equivalent to
a nominal rate of 6% compounded semiannually?

In its 2016 annual report, caterpillar inc. reported the following (in millions): 2016 2015 sales $38,537 $47,011 cost of goods sold 28,309 33,546 as a percentage of sales, did caterpillar's gross profit increase or decrease during 2016? select one: a. gross profit increased from 26.8% to 28.6% b. gross profit decreased from 28.6% to 26.5% c. gross profit increased from 71.4% to 73.2% d. gross profit decreased from 73.2% to 71.4% e. there is not enough information to answer the question.

Problem 2-18 job-order costing for a service company [lo2-1, lo2-2, lo2-3]speedy auto repairs uses a job-order costing system. the company's direct materials consist of replacement parts installed in customer vehicles, and its direct labor consists of the mechanics' hourly wages. speedy's overhead costs include various items, such as the shop manager's salary, depreciation of equipment, utilities, insurance, and magazine subscriptions and refreshments for the waiting room. the company applies all of its overhead costs to jobs based on direct labor-hours. at the beginning of the year, it made the following estimates: direct labor-hours required to support estimated output 10,000fixed overhead cost $ 90,000variable overhead cost per direct labor-hour $ 1.00 required: 1. compute the predetermined overhead rate.2. during the year, mr. wilkes brought in his vehicle to replace his brakes, spark plugs, and tires. the following information was available with respect to his job: direct materials $ 600direct labor cost $ 180direct labor-hours used 2 compute mr. wilkes' total job cost. 3. if speedy establishes its selling prices using a markup percentage of 30% of its total job cost, then how much would it have charged mr. wilkes?

An investment counselor calls with a hot stock tip. he believes that if the economy remains strong, the investment will result in a profit of $40 comma 00040,000. if the economy grows at a moderate pace, the investment will result in a profit of $10 comma 00010,000. however, if the economy goes into recession, the investment will result in a loss of $40 comma 00040,000. you contact an economist who believes there is a 2020% probability the economy will remain strong, a 7070% probability the economy will grow at a moderate pace, and a 1010% probability the economy will slip into recession. what is the expected profit from this investment?