A company's average cost per unit when x units are produced is defined to be Total cost Average cost = = Suppose a company's average costs are given by st = 2000 + 85 +0.5x. (a) Express the average-cost formula as a single fraction. Average cost = (b) Write the expression that gives the company's total costs. (Simplify your answer completely.) The consumer expenditure, in dollars, for a commodity is the product of its market price, p, and the number of units demanded, x. Suppose that for a certain commodity, the consumer expenditure is given by 15,000p - 150p2. (a) Factor this in order to find an expression for the number of units demanded. (Simplify your answer completely.) x= units (b) Use (a) to find the number of units demanded when the market price is $36. x = units Suppose that you have $4500 to invest, and you invest x dollars at 11% and the remainder at 2%. Write expressions in x that represent the following values. (a) the amount invested at 2% (b) the interest earned on the x dollars at 11% (c) the interest earned on the money invested at 2% (d) the total interest earned

b

2

−

b

b

3

+

7

b

2

+

14

b

+

6

%

−

3

b

3

+

7

b

2

+

14

b

+

6

%

step-by-step explanation:

"it's not the heat, it's the humidity".   that's a partly valid phrase you may have heard in the summer, but it's actually both.   the heat index, also known as the apparent temperature, is what the temperature feels like to the human body when relative humidity is combined with the air temperature.   this has important considerations for the human body's comfort.   when the body gets too hot, it begins to perspire or sweat to cool itself off.   if the perspiration is not able to evaporate, the body cannot regulate its temperature.   evaporation is a cooling process.   when perspiration is evaporated off the body, it effectively reduces the body's temperature.   when the atmospheric moisture content (i.e. relative humidity) is high, the rate of perspiration from the body decreases.   in other words, the human body feels warmer in humid conditions.   the opposite is true when the relative humidity decreases because the rate of perspiration increases.   the body actually feels cooler in arid conditions.   there is direct relationship between the air temperature and relative humidity and the heat index, meaning as the air temperature and relative humidity increase (decrease), the heat index increases (decreases).

step-by-step explanation: