![\bf ~~~~~~~~~~~~\textit{Future Value of an ordinary annuity}\\ ~~~~~~~~~~~~(\textit{payments at the end of the period}) \\\\ A=pymnt\left[ \cfrac{\left( 1+\frac{r}{n} \right)^{nt}-1}{\frac{r}{n}} \right] \\\\\\ ~~~~~~ \begin{cases} A=\textit{accumulated amount}\\ pymnt=\textit{periodic payments}\to &3350\\ r=rate\to 19.7\%\to \frac{19.7}{100}\to &0.197\\ n= \begin{array}{llll} \textit{times it compounds per year}\\ \textit{annually, thus once} \end{array}\to &1\\ t=years\to &7 \end{cases}](https://tex.z-dn.net/?f=%5Cbf%20~~~~~~~~~~~~%5Ctextit%7BFuture%20Value%20of%20an%20ordinary%20annuity%7D%5C%5C%0A~~~~~~~~~~~~%28%5Ctextit%7Bpayments%20at%20the%20end%20of%20the%20period%7D%29%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%20%5C%5C%5C%5C%5C%5C%0A~~~~~~%0A%5Cbegin%7Bcases%7D%0AA%3D%5Ctextit%7Baccumulated%20amount%7D%5C%5C%0Apymnt%3D%5Ctextit%7Bperiodic%20payments%7D%5Cto%20%263350%5C%5C%0Ar%3Drate%5Cto%2019.7%5C%25%5Cto%20%5Cfrac%7B19.7%7D%7B100%7D%5Cto%20%260.197%5C%5C%0An%3D%0A%5Cbegin%7Barray%7D%7Bllll%7D%0A%5Ctextit%7Btimes%20it%20compounds%20per%20year%7D%5C%5C%0A%5Ctextit%7Bannually%2C%20thus%20once%7D%0A%5Cend%7Barray%7D%5Cto%20%261%5C%5C%0At%3Dyears%5Cto%20%267%0A%5Cend%7Bcases%7D)
![\bf A=3350\left[ \cfrac{\left( 1+\frac{0.197}{1} \right)^{1\cdot 7}-1}{\frac{0.197}{1}} \right]\implies A=3350\left[\cfrac{1.197^7-1}{0.197} \right] \\\\\\ A\approx 3350(12.7966673797946)\implies A\approx 42868.8357223119](https://tex.z-dn.net/?f=%5Cbf%20A%3D3350%5Cleft%5B%20%5Ccfrac%7B%5Cleft%28%201%2B%5Cfrac%7B0.197%7D%7B1%7D%20%5Cright%29%5E%7B1%5Ccdot%207%7D-1%7D%7B%5Cfrac%7B0.197%7D%7B1%7D%7D%20%5Cright%5D%5Cimplies%20A%3D3350%5Cleft%5B%5Ccfrac%7B1.197%5E7-1%7D%7B0.197%7D%20%20%5Cright%5D%0A%5C%5C%5C%5C%5C%5C%0AA%5Capprox%203350%2812.7966673797946%29%5Cimplies%20A%5Capprox%2042868.8357223119)
now, for 7 years she has been depositing $3350, so the amount that she put out of her pocket is 7*3350.
and we know the compounded amount is A, so the interest is just their difference.
42868.8357223119 - (7 * 3350).
Answer:
89.01% probability that a flight arrives on time given that it departed on time.
Step-by-step explanation:
We use the conditional probability formula to solve this question. It is

In which
P(B|A) is the probability of event B happening, given that A happened.
is the probability of both A and B happening.
P(A) is the probability of A happening.
In this question:
Event A: Departing on time
Event B: Arriving on time.
The probability that a flight departs and arrives on time is 0.81.
This means that 
The probability that an airplane flight departs on time is 0.91.
This means that 
Find the probability that a flight arrives on time given that it departed on time.

89.01% probability that a flight arrives on time given that it departed on time.
Hi there!
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I believe your answer is:
28.
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Here’s why:
- A translation rule can be used to find the result of the point after it's found 5 units above.
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Hope this helps you. I apologize if it’s incorrect.
Answer:just got it right!
Step-by-step explanation:
48.25 x .20 = 9.65........................