A store sells mugs. Each mug costs the same amount. During a sale, the store reduces the price of each mug by $1.75. Wen spends
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<u>Answer:</u>
The baseball cards remain in Nathan’s collection is 106 cards
<u>Explanation:</u>
Total number of cards Nathan has= 220
Number of cards he let his brother have = 1/4 of his collection
= = 55 cards
Number of cards he sells = 20% of his collection
=
=44 cards
No of cards he gives to his friends=15 cards
Remaining cards = total number of cards – (no of cards he gave to his brother+ cards he sold+ cards he gave to this friends)
= 220 – ( 55+44+15)
=220-114
=106 cards
baseball cards remain in Nathan’s collection is 106 cards
Let's find the derivative of that hyperbola in order to find a slope formula to help us with this equation. We already have an x and y value. The derivative is found this way: 
so 
. The derivative supplies us with the slope formula we need to write the equation. Sub in the x value of 3 to find what the slope is: 
. So in our slope-intercept equation, x = 3, y = 1, and m = -1/3. Use these values to solve for b. 
so b = 2. The equation, then, for the line tangent to that hyperbola at that given point is 