Step-by-step explanation and answers:
300 articles at a total cost of $1500:
$1500 / 300 = $5 / article
Sells 260 articles at a price 20% above this ^ price:
20% of $5 is $1, so $5 + $1 = $6
Then he sells 260 articles at the price of ^ $6
260 * $6 = $1560
Each of the remaining articles is sold at a price that's 50% of the 260 he sold.
He sold those for $6, so he would now sell the last 40 for $3
From the remaining 40 articles, he makes 40 * $3, or $120
The shopkeeper made $1560 + $120 = $1680, which is $180 more than he bought them for ($1500)
Therefore, he made a profit percentage of $180 / $1500, (the amount of profit over the amount spent).
He made a profit percentage, compared to the cost price, of 12%.
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A function assigns the value of each element of one set to the other specific element of another set. The total amount of credit cards opened at the two locations is given as 45+3t.
<h3>What is a Function?</h3>
A function assigns the value of each element of one set to the other specific element of another set.
Given that the number of credit cards, A, that is opened t months since January can be modeled by the function A(t) = 20 + 4t, while the number of credit cards opened at another location, B, is defined by the function B(t)=25−t.
Now, the total number of credit cards that are opened at both the location together will be,
Total number of credit cards = A(t) + B(t)
= 20 + 4t + 25 - t
= 20 + 25 + 4t - t
= 45 + 3t
Hence, the total amount of credit cards opened at the two locations is given as 45+3t.
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