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A production run of toothpaste requires a fixed cost of $100,000. The variable cost per unit is $3.00. If 50,000 units of toothpaste will be sold during the next month, what sale price must be chosen in order to break even at the end of the month?
A certain club is collecting money for a charity. A local company has agreed to contribute $1 to the charity for every $3 collected by the club. How much money must the club collect in order for the total amount for the charity,
How do you find (and what is it) the principal branch of the following complex powers:
Find the cost of the shortest length of carpet.
How many cubic inches of air can a fully inflated basketball hold if its radius is 4.5 inches? Give solution accurate to the nearest hundredth. Include correct units with your solution.
Give a matrix that describes the game and argue that a population consisting solely of LIONS isn't stable, nor is one consisting solely of LAMBS.
Let I be the ring of integral Hamilton Quaternions and define N: I ->Z by N(a+bi+cj+dk) = a^2 +b^2 +c^2+d^2
If F is a field, prove that the field of fractions of F[[x]] is the ring F((x)) of formal Laurent series. Show that the field of fractions of the power series ring Z[[x]] is properly contained in the field of Laurent series Q((x)).
Use the disk method to find the volume of the solid of revolution formed by revolving the region about the x-axis. Solid region is a semi circle from 0,4 to 16,0 find the solid amount between 5,0 and 6,0
Determine the probability of event A given that event B is already occurred
Let C^3 be equipped with the standard inner product and Let W be the subspace of C^3 that is spanned by u=(1,0,1) and u2=(1/sqrt3, 1/sqrt3, -1/sqrt 3). Project the vector v=(1,i ,i ) onto W.
Find the critical points of the following functions and determine whether they are local maximums, minimums or otherwise using the second derivative test.
An arrow is accidentally shot into the air. The formula y = - 14x2 + 56x + 18 models the arrow's height above the ground, y, in feet, x seconds after it was released.
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