Statistics and Probability

a. 3 5 .090\" \\\\ Find an equation it slope-htaroept term for the line, Through (5.4) and (2,6) Joanne sells silk-screened T-shirls at community festivals and Cleft fairs. Her marginal cost to produce one T-shirl is $4.50. Her total cost to produce 40 T-shirts is $230. and she sells them for $9 each. 2. Find the linear cost function for Joenne's T-shirt production b. How many Tshirts must she produce and sell in order to break even? c. How many T-shirts must she produce and sell to make a prot of $900? Suppose $25,000 is invested at an annual rate ofe'll. for 16 years. Find the future value if interest is compounded as follows. a. Annually ht Quarterly e. Monthly d. Daily {365 days) e. Continuously A company will need $ 25,000 in 6 years for a new addition. To meet this goal, the company deposits money in an account today that pays 9% annual interest compounded ouarterty. Find the amount that should be invested to total $25,000 in 6 Were. Find the future value afthe urinary annuity. lnteiest is compounded annually. Fl=6000. i=0.0&; n= 15 Find the future value of an ordinary annuity if payments are made in the amount R and interest is compounded as given. Then determine how much of this value is from contributions and how much is from interest. R=9.400: 8% interest compounded semiannually for 5 years. Find the future value of an ordinary annuity 'rf payments are made in the amount R and interest is compounded as given. Then determine how much of this value is from contributions and how much is from interest. R=14.000; 4.9% interest compounded quartertylor14 years. Find the interest rate needed for the sinking fund to reach the required amount. Assume that the compounding period is the same as the payment period. $15104 to be accumulated in 4 years: quarterly payments of $875. Find the size of each of 8 payments made at the end of each year into a 6% rate sinking fund which produces $46000 at the end of 8 years. Find the amount at each payment to be made into a sinking fund earning 7% compounded monthly to accumulate $89,000 over 8 years. Payments are made at the end 01 each period. Find the future value of the following annuity due. Assume that interest is compounded annually. there are n payments of R dollars, and the interest rate is i. R=16,0l10; i= 0.04; I1 = 5