The number of cupcakes that will be sold on day 15 is; 57 cupcakes
<h3>How to solve arithmetic sequence?</h3>
Day n could be any particular day located on the x-axis of the bar chart. Each bar represents the amount of cupcakes sold on each of the four days numbered from 1 to 4.
The height of each bar marks the number of cupcakes sold. According to the chart attached, the number of cupcakes sold on each day is listed below:
Day 1 : 1 cupcake sold
Day 2 : 5 cupcakes sold
Day 3: 9 cupcakes sold
Day 4: 13 cupcakes sold
Studying the graph carefully fully, it will be observed that the number of cupcakes sold increases by a margin of 4 after day one.
As such the number of cupcakes sold in n days can be modeled by Using the Arithmetic progression formula:
Tₙ = a + (n-1)d
where;
d = common difference = 4
a = first term = 1
n = number of days
Hence, number sold in day n:
a + 4(n - 1)
Thus;
Number of cupcakes sold on day 15 is;
T₁₅ = 1 + 4(15 - 1)
T₁₅ = 57 cupcakes
Read more about Arithmetic Sequence at; brainly.com/question/6561461
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Given:
A circle of radius r inscribed in a square.
To find:
The expression for the area of the shaded region.
Solution:
Area of a circle is:

Where, r is the radius of the circle.
Area of a square is:

Where, a is the side of the square.
A circle of radius r inscribed in a square. So, diameter of the circle is equal to the side of the square.

So, the area of the square is:


Now, the area of the shaded region is the difference between the area of the square and the area of the circle.




Therefore, the correct option is (a).
The volume of the prism is D. 280
2x+36 and 7x are supplementary. That means they add up to be 180. 2x+36+7x=180 and 9x=144 so x = 16