A company sells custom embroidered apparel and promotional products. Table 1 shows the volume discounts offered by the company, where x is the volume of a purchase in dollars. Problems 95 and 96 deal with two different interpretations of this discount method . Table 1 Volume Discount (Excluding Tax) Volume ($ x ) Discount Amount $300 ≤ x < $1,000 3% $1,000 ≤ x < $3,000 5% $3,000 ≤ x < $5,000 1 % $5,000 ≤ x 10% 95. Volume discount. Assume that the volume discounts in Table 1 apply to the entire purchase. That is, if the volume x satisfies $300 ≤ x < $1,000, then the entire purchase is discounted 3%. If the volume x satisfies $1,000 ≤ x < $3,000, the entire purchase is discounted 5%, and so on. (A) If x is the volume of a purchase before the discount is applied, then write a piecewise definition for the discounted price D ( x ) of this purchase. (B) Use one-sided limits to investigate the limit of D ( x ) as x approaches $1,000. As x approaches $3,000.
A company sells custom embroidered apparel and promotional products. Table 1 shows the volume discounts offered by the company, where x is the volume of a purchase in dollars. Problems 95 and 96 deal with two different interpretations of this discount method . Table 1 Volume Discount (Excluding Tax) Volume ($ x ) Discount Amount $300 ≤ x < $1,000 3% $1,000 ≤ x < $3,000 5% $3,000 ≤ x < $5,000 1 % $5,000 ≤ x 10% 95. Volume discount. Assume that the volume discounts in Table 1 apply to the entire purchase. That is, if the volume x satisfies $300 ≤ x < $1,000, then the entire purchase is discounted 3%. If the volume x satisfies $1,000 ≤ x < $3,000, the entire purchase is discounted 5%, and so on. (A) If x is the volume of a purchase before the discount is applied, then write a piecewise definition for the discounted price D ( x ) of this purchase. (B) Use one-sided limits to investigate the limit of D ( x ) as x approaches $1,000. As x approaches $3,000.
Solution Summary: The author explains how to write a piecewise definition for the discounted price of the purchase.
A company sells custom embroidered apparel and promotional products. Table 1 shows the volume discounts offered by the company, where x is the volume of a purchase in dollars. Problems 95 and 96 deal with two different interpretations of this discount method.
Table 1 Volume Discount (Excluding Tax)
Volume ($x)
Discount Amount
$300 ≤ x < $1,000
3%
$1,000 ≤ x < $3,000
5%
$3,000 ≤ x < $5,000
1%
$5,000 ≤ x
10%
95. Volume discount. Assume that the volume discounts in Table 1 apply to the entire purchase. That is, if the volume x satisfies $300 ≤ x < $1,000, then the entire purchase is discounted 3%. If the volume x satisfies $1,000 ≤ x < $3,000, the entire purchase is discounted 5%, and so on.
(A) If x is the volume of a purchase before the discount is applied, then write a piecewise definition for the discounted price D(x) of this purchase.
(B) Use one-sided limits to investigate the limit of D(x) as x approaches $1,000. As x approaches $3,000.
. The income tax in a certain state is figured at 2 %of the first $1000, 3% of the next $2000, 4 %of the next $3000, and 5% thereafter. Find the tax on an income of $25,000.
Do you think it would be unusual for an individual apartment to have a rent greater than $2690?
In a certain country, income tax is assessed as follows. There is no tax on income up to $10000. Any income over $10000 is taxed
at a rate of 20%, up to an income of $20000. Any income over $20000 is taxed at 25%.
How much tax is assessed on an income of $17000?
On $22000?
Chapter 2 Solutions
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