A health food store stocks bottles of multivitamins. It orders equal quantities of stock from its wholesaler at equally spaced points throughout the year. The cost of replacing each order is $250. Moreover, the cost of keeping a jar of vitamins in inventory is $1 per year. The store predicts that it will sell 12,500 bottles of vitamins in the next year. How many orders of how many bottles each will result in a minimum cost to the health food store?Enter your answer exactly as: a, b (integers) where a represents the number of orders and b represents the number of bottles in each order (no units or words).
Fill in the blank(s) with the appropriate word(s).
5, 2500
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Evaluate the integral.
A. 
sec3x sinh (ln 
) + C
B. sinh (ln 
) + C
C. sinh(tan x) + C
D. 
sec3x sinh(tan x) + C
Solve the problem.The pH of a solution ranges from 0 to 14. An acid has a pH less than 7. Pure water is neutral and has a pH of 7. The pH of a solution is given by 
where H+ represents the concentration of the hydrogen ions in the solution in moles per liter. Find the pH if the hydrogen ion concentration is 
A. 2.8 B. 3.8 C. 2.2 D. 3.2
Find the balance forward for the check stub.
A. $4802.72 B. $3942.07 C. $5798.95 D. $5496.16
Use De Moivre's Theorem to find the indicated power of the complex number. Write your answer in standard form a + bi.(1 + i)20
A. -1024i B. -1024 C. 1024 D. 1024i