Answer:
-5, multiplicity 3; +9, multiplicity 2; -1
Step-by-step explanation:
The roots of f(x) are those values of x that make the factors be zero. For a factor of x-a, the root is x=a, because a-a=0. If the factor appears n times, then the root has multiplicity n.
f(x) = (x+5)^3(x-9)^2(x+1) has roots ...
- -5 with multiplicity 3
- +9 with multiplicity 2
- -1
Annuities whose payments are made at the end of the period are "ordinary annuity" type
![\bf \qquad \qquad \textit{Future Value of an ordinary annuity} \\\\ A=pymnt\left[ \cfrac{\left( 1+\frac{r}{n} \right)^{nt}-1}{\frac{r}{n}} \right]](https://tex.z-dn.net/?f=%5Cbf%20%5Cqquad%20%5Cqquad%20%5Ctextit%7BFuture%20Value%20of%20an%20ordinary%20annuity%7D%0A%5C%5C%5C%5C%0AA%3Dpymnt%5Cleft%5B%20%5Ccfrac%7B%5Cleft%28%201%2B%5Cfrac%7Br%7D%7Bn%7D%20%5Cright%29%5E%7Bnt%7D-1%7D%7B%5Cfrac%7Br%7D%7Bn%7D%7D%20%5Cright%5D)
![\bf \qquad \begin{cases} A= \begin{array}{llll} \textit{accumulated amount} \end{array} \\ pymnt=\textit{periodic payments}\to &100\\ r=rate\to 14\%\to \frac{14}{100}\to &0.14\\ n= \begin{array}{llll} \textit{times it compounds per year}\\ \textit{weekly, thus} \end{array}\to &52\\ t=years\to &5 \end{cases} \\\\\\ A=100\left[ \cfrac{\left( 1+\frac{0.14}{52} \right)^{52\cdot 5}-1}{\frac{0.14}{52}} \right]](https://tex.z-dn.net/?f=%5Cbf%20%5Cqquad%20%0A%5Cbegin%7Bcases%7D%0AA%3D%0A%5Cbegin%7Barray%7D%7Bllll%7D%0A%5Ctextit%7Baccumulated%20amount%7D%0A%5Cend%7Barray%7D%0A%5C%5C%0Apymnt%3D%5Ctextit%7Bperiodic%20payments%7D%5Cto%20%26100%5C%5C%0Ar%3Drate%5Cto%2014%5C%25%5Cto%20%5Cfrac%7B14%7D%7B100%7D%5Cto%20%260.14%5C%5C%0An%3D%0A%5Cbegin%7Barray%7D%7Bllll%7D%0A%5Ctextit%7Btimes%20it%20compounds%20per%20year%7D%5C%5C%0A%5Ctextit%7Bweekly%2C%20thus%7D%0A%5Cend%7Barray%7D%5Cto%20%2652%5C%5C%0At%3Dyears%5Cto%20%265%0A%5Cend%7Bcases%7D%0A%5C%5C%5C%5C%5C%5C%0AA%3D100%5Cleft%5B%20%5Ccfrac%7B%5Cleft%28%201%2B%5Cfrac%7B0.14%7D%7B52%7D%20%5Cright%29%5E%7B52%5Ccdot%205%7D-1%7D%7B%5Cfrac%7B0.14%7D%7B52%7D%7D%20%5Cright%5D)
Answer:
18.8 minuites
Step-by-step explanation:
20% of 5 is 1 so the second time is 6 and 30% of 6 is 1.8 so it will be
5+6+7.8=18.8
<span>The easiest way is probably noticing that the plane flies 180 miles farther than the car in the same time. And...the car goes 90 mph slower. If you imagine that they started at the same point...that means that the two trips went on for two hours (2 hours x 90 mph faster = 180 miles farther). </span>
