1) Initially, you have lost 20,000 dollars in the stock market and you continue to lose 350 dollars per month. In how many months will it be before your losses total 33,040 dollars, thus your balance is - 33,040? Number of months is ___________. Show the computation.
2) It costs a beekeeper $2.42 to make each pint jar of honey, and she sells the jars to stores at a price of $3.51 each. Her other monthly costs are the lease of the land and building $980, general supplies and equipment $185, utilities $270, transportation $300 and fixed salaries $6300.
a) What is the monthly breakeven point for the number of pints made and sold to the nearest integer? ________
b) The beekeeper decides to give her a raise amounting to $50 per month. What is the monthly breakeven point to the nearest integer after the change? _________
3) Suppose that in the year 2010, the cost of a compact car averaged $14,500 and that in 2013, the cost averaged $16,900. Assuming that the relationship between year x and cost y is linear, develop a formula for predicting the average cost of a compact car in the future. Let the variable x be the years since 2010. Be sure to use the lower case variables x and y: Formula a.) _______________________.
What do you predict the average cost of a compact car will be in the year 2019? Formula b.) _______________________.