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:
Yes, this is a valid inference because she took a random sample of the neighborhood.
Step-by-step explanation:
As her survey was non bias and completely random and she found that 15% of the families would participate in the event. She claims that 15% of the neighborhood families would be expected to participate in the sports event. So, yes, this is a valid inference because she took a random sample of the neighborhood.
Okay, the exponential function is

The start price of it in t=0 is 3,500, as we can see on the graph. Then, the function becomes

Let's see at t=2, where the price is g=2000:

Take natural logarithm:



So, the difference between t=0 and t=2 is

And then we get the change of x in one year equal to 0.035.
So, the final equation is

You can insert any t and see that it is correct, for example t=7
Whenever you reflect a point over the x axis, the x coordinate stays the same and the y coordinate is negated. In this case, the y coordinate which is 3 will be negated to become -3, and the x coordinate which is -5 will remain the same. Therefore, the new point is (-5,-3).
I hope this helps.
<span><span> STEP 1. </span><span><span>x/5+6= 36
STEP 2. x/5 = 30
STEP TRES x= 150</span> </span></span>