Answer:
He bought 10 laptops for x dollars each and then sold all of them for a total profit of 35%. ... A shirt cost $14.44 after a discount of 15% off the original price. ... Erin earns a 12% commission on the furniture she sells. ... Which expression could Erin use to calculate the amount of money she earned? Select one: A. 4,500(0.12).
Step-by-step explanation:
Assuming "root 9 of n" is supposed to mean "the ninth root of n", that is
![\sqrt[9]n](https://tex.z-dn.net/?f=%5Csqrt%5B9%5Dn)
we can use the ratio test, which says the series converges whenever
![\displaystyle\lim_{n\to\infty}\left|\frac{\frac{x^{n+1}}{\sqrt[9]{n+1}}}{\frac{x^n}{\sqrt[9]n}}\right|](https://tex.z-dn.net/?f=%5Cdisplaystyle%5Clim_%7Bn%5Cto%5Cinfty%7D%5Cleft%7C%5Cfrac%7B%5Cfrac%7Bx%5E%7Bn%2B1%7D%7D%7B%5Csqrt%5B9%5D%7Bn%2B1%7D%7D%7D%7B%5Cfrac%7Bx%5En%7D%7B%5Csqrt%5B9%5Dn%7D%7D%5Cright%7C%3C1)
We have
![\displaystyle|x|\lim_{n\to\infty}\frac{\sqrt[9]n}{\sqrt[9]{n+1}}=|x|\sqrt[9]{\lim_{n\to\infty}\frac n{n+1}}=|x|](https://tex.z-dn.net/?f=%5Cdisplaystyle%7Cx%7C%5Clim_%7Bn%5Cto%5Cinfty%7D%5Cfrac%7B%5Csqrt%5B9%5Dn%7D%7B%5Csqrt%5B9%5D%7Bn%2B1%7D%7D%3D%7Cx%7C%5Csqrt%5B9%5D%7B%5Clim_%7Bn%5Cto%5Cinfty%7D%5Cfrac%20n%7Bn%2B1%7D%7D%3D%7Cx%7C%3C1)
which means the radius of convergence for this power series is 1.
Answer no answers
Step-by-step explanation:
Answer:
The length if the model is 6.875 inches.
Step-by-step explanation:
1.5 inches - > 3 feet is the same as 1 inch - > 2 feet (Same ratios: 3/1.5 = 2/1)
So since this is a linear relation between values we can use the rule of three.
1 inch(model) - > 2 feet(actual object)
x inches (model) - > 13.75 feet (car)
We cross-multiply:
1*13.75=2*x - > x= 13.75/2=6.875 inches
<span>b – 2a – c
= 9 - 2(-3) - (-6)
= 9 + 6 + 6
= 21
answer
21</span>
