Chaz is correct because will's amount of money that is negative from the checking account is more than Chaz's so therefore will owes more money
y=(1/2)x-1
You have to set both to y and then add. After that you solve for y
Using implicit differentiation, it is found that the radius is increasing at a rate of 0.0081 cm per minute.
<h3>What is the volume of a sphere?</h3>
The volume of a sphere of radius r is given by:
![V = \frac{4\pi r^3}{3}](https://tex.z-dn.net/?f=V%20%3D%20%5Cfrac%7B4%5Cpi%20r%5E3%7D%7B3%7D)
Applying implicit differentiation, the rate of change is given by:
![\frac{dV}{dt} = 4\pi r^2\frac{dr}{dt}](https://tex.z-dn.net/?f=%5Cfrac%7BdV%7D%7Bdt%7D%20%3D%204%5Cpi%20r%5E2%5Cfrac%7Bdr%7D%7Bdt%7D)
In this problem, we have that:
![\frac{dV}{dt} = 500, r = 70](https://tex.z-dn.net/?f=%5Cfrac%7BdV%7D%7Bdt%7D%20%3D%20500%2C%20r%20%3D%2070)
Hence the rate of change of the radius is given as follows:
![\frac{dV}{dt} = 4\pi r^2\frac{dr}{dt}](https://tex.z-dn.net/?f=%5Cfrac%7BdV%7D%7Bdt%7D%20%3D%204%5Cpi%20r%5E2%5Cfrac%7Bdr%7D%7Bdt%7D)
![19600\pi\frac{dr}{dt} = 500](https://tex.z-dn.net/?f=19600%5Cpi%5Cfrac%7Bdr%7D%7Bdt%7D%20%3D%20500)
![\frac{dr}{dt} = \frac{500}{19600\pi}](https://tex.z-dn.net/?f=%5Cfrac%7Bdr%7D%7Bdt%7D%20%3D%20%5Cfrac%7B500%7D%7B19600%5Cpi%7D)
![\frac{dr}{dt} = 0.0081](https://tex.z-dn.net/?f=%5Cfrac%7Bdr%7D%7Bdt%7D%20%3D%200.0081)
The radius is increasing at a rate of 0.0081 cm per minute.
More can be learned about implicit differentiation at brainly.com/question/25608353
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If you take the total, and multiply it by the sales tax (.08) then you will get $17.28
(216x.08)
Answer:
26%
Step-by-step explanation:
Given that Dan has 59 new email messages and 13 have attachment then the proportion that have attachments may be expressed as a ratio of the number with attachments to the total number of emails.
Hence proportion of the email messages have attachments as a percentage
= 13/50 * 100%
= 26%
This means that 26% of the emails received have attachments