Answer:
<em>After </em><em>47</em><em> days she will have more than 90 trillion pennies.</em>
Step-by-step explanation:
At the beginning there was 1 penny. At the second day the amount of pennies under the pillow became 2.
The amount of pennies doubled each day. So the series is,

This series is in geometric progression.
As the pennies from each of the previous days are not being stored away until more pennies magically appear so the sum of series will be,

where,
a = initial term = 1,
r = common ratio = 2,
As we have find the number of days that would elapse before she has a total of more than 90 trillion, so









Answer:
-1/7
Step-by-step explanation:
Divide the first expression by the second expression.
Answer:
To find the maximum of a function in ax^2 + bx + c form, you can use the formula: maximum = c - (b^2 / 4a).
In this question, a = -16, b = 180, and c = 63.
Maximum = 63 - (180^2/4(-16))
Maximum = 569.25
Finally, rounding this to the nearest tenth of a foot, the final answer is 569.3 ft.
Let me know if this helps!
Answer:
The expression 40n+15p shows the amount paid by the newspaper if Alexis and Paige are hired together.
Step-by-step explanation:
Given that:
Alexis charges $25 for each news story and $5 per picture.
Let,
n represent the number of news stories and p represent the number of pictures.
Alexis' total charges = 
Paige charges $15 for each news story and $10 per picture.
The variables will be same.
Paige's total charges = 
Alexis and Paige's charges will be added if newspaper hire them together.
Total charges paid by newspaper = 
Hence,
The expression 40n+15p shows the amount paid by the newspaper if Alexis and Paige are hired together.