Answer: c
Step-by-step explanation:
Express the total amount of the monthly payments algebraically.
Answer:
<h3>1</h3>
Step-by-step explanation:
Given the expression:
![\lim_{n \to \infty} \frac{e^x+e^{-x}}{e^x-e^{-x}}\\](https://tex.z-dn.net/?f=%5Clim_%7Bn%20%5Cto%20%5Cinfty%7D%20%5Cfrac%7Be%5Ex%2Be%5E%7B-x%7D%7D%7Be%5Ex-e%5E%7B-x%7D%7D%5C%5C)
factor out e^x from the numerator and denominator
![\lim_{n \to \infty} \frac{e^x+e^{-x}}{e^x-e^{-x}}\\\lim_{n \to \infty} \frac{e^x(1+e^{-2x})}{e^x(1-e^{-2x})}\\\lim_{n \to \infty} \frac{(1+e^{-2x})}{(1-e^{-2x})}\\ = \frac{(1+e^{-2(\infty)})}{(1-e^{-2(infty)})}\\= \frac{1+0}{1-0}\\= 1\\](https://tex.z-dn.net/?f=%5Clim_%7Bn%20%5Cto%20%5Cinfty%7D%20%5Cfrac%7Be%5Ex%2Be%5E%7B-x%7D%7D%7Be%5Ex-e%5E%7B-x%7D%7D%5C%5C%5Clim_%7Bn%20%5Cto%20%5Cinfty%7D%20%5Cfrac%7Be%5Ex%281%2Be%5E%7B-2x%7D%29%7D%7Be%5Ex%281-e%5E%7B-2x%7D%29%7D%5C%5C%5Clim_%7Bn%20%5Cto%20%5Cinfty%7D%20%5Cfrac%7B%281%2Be%5E%7B-2x%7D%29%7D%7B%281-e%5E%7B-2x%7D%29%7D%5C%5C%20%3D%20%20%5Cfrac%7B%281%2Be%5E%7B-2%28%5Cinfty%29%7D%29%7D%7B%281-e%5E%7B-2%28infty%29%7D%29%7D%5C%5C%3D%20%5Cfrac%7B1%2B0%7D%7B1-0%7D%5C%5C%3D%201%5C%5C)
<em>Hence the limit of the given function is 1</em>
To round to the nearest whole unit you have to evaluate the tenths place value. If the tenths are less than 5, you keep the ones place and eliminate everything afterwards, otherwise, (if tenths ≥5) you increase the ones place and eliminate all that follows.
2/9≈0.2 since 2<5
2/9≈0 (to the nearest whole number)
X = total miles run
4.6 + 0.78 + 3.4 = x
8.78 = x......so he ran a total of 8.78 miles