<em>Answer:</em>
<em>I would say he makes 10.5%</em>
<em>Step-by-step explanation:</em>
<em />
<em>Let the price at which the shopkeeper bought the article be 100.
</em>
<em>Since he has to make a profit of 30%, he would mark the price as 130.
</em>
<em>Now, he allows a discount of 15% i.e. 15% of 130 = 19.5
</em>
<em>The actual discounted price= 130–19.5= 110.5
</em>
<em>
</em>
<u><em>He gets 10.5 on 100. The profit percent he makes is 10.5%</em></u>
Answer: See explanation
Step-by-step explanation:
The dimensions of the first drawing will be 1/3 the dimensions of the leaf and the dimension of the oak leaf is 5 1/2 inches. Therefore, the dimensions of the 1st leaf:
= 1/3 × 5 1/2
= 1/3 × 11/2
= 11/6
= 1 5/6 inches
This is less than 5 1/2 inches
The dimensions of the second drawing will be 2 1/2 the dimensions of the leaf. This will be:
= 2 1/2 × 5 1/2
= 5/2 × 11/2
= 55/4
= 13 3/4 inches
Thus is greater than 5 1/2 inches
Answer:
see below for a graph
Step-by-step explanation:
To draw a graph on a grid, locate the point (4, -2) and use the slope to find another point. One such point will be 1 to the left and up 3*, at (3, 1). With two points, you can draw the line through them to complete the graph.
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For a graphing tool that requires an equation, the point-slope form of the equation can be used:
y -k = m(x -h) . . . . . a line of slope m through point (h, k)
For the given slope and point, the equation of the line is ...
y +2 = -3(x -4)
y = -3x +10
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* The slope is "rise" over "run". The slope of -3 means that a <em>run</em> of +1 will result in a <em>rise</em> of -3. The given point is already below the x-axis, so we don't really want to find more points farther down. In order to go up on a line with negative slope, we must choose a point to the left of the given one.