Kgabo completed 2/5 of a job. The next day he completed 3/8 of the remaining job. The part of the job that
is still left, given as a fraction, is
aldo's shoes bought a shipment of 667 pairs of women's shoes for $36.00 per pair. The store sold 122 pairs at the regular selling price of $228.00 per pair, 78 pairs at a clearance sale at a discount of 35% and the remaining pairs during an inventory sale at a price that equals cost plus overhead. The store's overhead is 25% of cost.
(a) What was the price at which the shoes were sold during the clearance sale?
(b) What was the selling price during the inventory sale?
(c) What was the total profit realized on the shipment?
(d) What was the average rate of markup based on cost that was realized on the shipment?
Write the vector (1, −2, 5) as a linear combination of the vectors (1, 1, 1),(1, 2, 3)
and (2, −1, 1)
Consider the following systemof linear equations:
x+2y+2z=1,x+ay+3z=3,x+11y+az=b.
For which values of a does the system have a unique solution. and for which pairs of values (a,b) does the system have more than on solution?
the dean of admissions in a large university has determined that the scores of the freshman class in a mathematics test are apporoximately normally distributed with a mean 72 and a standard deviation of 4 based of this information,what is the probability that the mean score of a sample of 64 students it at least 73
An insulated rod of length has its ends A and B maintained at O^ C and 100 degrees * C respectively until steady state conditions prevailFind the steady -state temperature of the rod
Given that M is a singular matrix, evaluate x where;
6 7 -1
M = 3 x 5
9 11 x
A stone crushing company is planning to purchase a Wheel Loader to be used for conveying raw
stone to a large Stone Crushing Machine and loading crushed stone in trucks. A new Wheel loader
can be purchased directly from Caterpillar Company for $150,000. The new Wheel Loader will
reduce the annual cost by $25,500 and increase annual operating expenses by $4,500. The useful
life of the Wheel Loader is 20 years. After 20 years it will have a salvage value of $30,000. The
company uses straight line method of depreciation for all assets.
Does the sequence 3+ (-1)^n converge to 2. Justify
a deck has four cards - an ace of spades, an ace of hearts, an ace of diamonds and an ace of club. two cards will be drawn with replacement. let H denote the number of the ace of hearts is drawn