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One question from a survey was "how many credit cards do you currently have? " the results of the survey are provided. complete parts (a) through (g) below. click the icon to view the survey results. (a) determine the mean number of credit cards based on the raw data. the mean is 3.113.11 credit cards. (type an integer or a decimal. do not round.) (b) determine the standard deviation number of credit cards based on the raw data. the standard deviation is 1.9111.911 credit cards. (round to three decimal places as needed.) (c) determine a probability distribution for the random variable, x, the number of credit cards issued to an individual. x (# of cards) p(x) x (# of cards) p(x) 1 0.280.28 6 nothing 2 nothing 7 nothing 3 nothing 8 nothing 4 nothing 9 nothing 5 nothing 10 nothing (type integers or decimals. do not round.)

During january 2018, the following transactions occur: january 1 purchase equipment for $20,600. the company estimates a residual value of $2,600 and a five-year service life. january 4 pay cash on accounts payable, $10,600. january 8 purchase additional inventory on account, $93,900. january 15 receive cash on accounts receivable, $23,100 january 19 pay cash for salaries, $30,900. january 28 pay cash for january utilities, $17,600. january 30 firework sales for january total $231,000. all of these sales are on account. the cost of the units sold is $120,500. the following information is available on january 31, 2018. depreciation on the equipment for the month of january is calculated using the straight-line method. the company estimates future uncollectible accounts. at the end of january, considering the total ending balance of the accounts receivable account as shown on the general ledger tab, $4,100 is now past due (older than 90 days), while the remainder of the balance is current (less than 90 days old). the company estimates that 50% of the past due balance will be uncollectible and only 3% of the current balance will become uncollectible. record the estimated bad debt expense. accrued interest revenue on notes receivable for january. unpaid salaries at the end of january are $33,700. accrued income taxes at the end of january are $10,100

Define the marginal rate of substitution between two goods (x and y). if a consumer’s preferences are given by u(x,y) = x3/4y1/4, compute the consumer’s marginal rate of substitution as a function of x and y. calculate the mrs if the consumer has chosen to consumer 48 units of x and 16 units of y. show your work. (use the back of the page if necessary.