Answer:
3,27
Step-by-step explanation:
now, we're assuming she made the deposit at the child's birth, namely when year was 0, at the child's twenty-first birthday that'll be 21 years later.
![~~~~~~ \textit{Compound Interest Earned Amount} \\\\ A=P\left(1+\frac{r}{n}\right)^{nt} \quad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{original amount deposited}\dotfill &\$6000\\ r=rate\to 9\%\to \frac{9}{100}\dotfill &0.09\\ n= \begin{array}{llll} \textit{times it compounds per year}\\ \textit{monthly, thus twelve} \end{array}\dotfill &12\\ t=years\dotfill &21 \end{cases} \\\\\\ A=6000\left(1+\frac{0.09}{12}\right)^{12\cdot 21}\implies A=6000(1.0075)^{252}\implies A\approx 39437.11](https://tex.z-dn.net/?f=~~~~~~%20%5Ctextit%7BCompound%20Interest%20Earned%20Amount%7D%20%5C%5C%5C%5C%20A%3DP%5Cleft%281%2B%5Cfrac%7Br%7D%7Bn%7D%5Cright%29%5E%7Bnt%7D%20%5Cquad%20%5Cbegin%7Bcases%7D%20A%3D%5Ctextit%7Baccumulated%20amount%7D%5C%5C%20P%3D%5Ctextit%7Boriginal%20amount%20deposited%7D%5Cdotfill%20%26%5C%246000%5C%5C%20r%3Drate%5Cto%209%5C%25%5Cto%20%5Cfrac%7B9%7D%7B100%7D%5Cdotfill%20%260.09%5C%5C%20n%3D%20%5Cbegin%7Barray%7D%7Bllll%7D%20%5Ctextit%7Btimes%20it%20compounds%20per%20year%7D%5C%5C%20%5Ctextit%7Bmonthly%2C%20thus%20twelve%7D%20%5Cend%7Barray%7D%5Cdotfill%20%2612%5C%5C%20t%3Dyears%5Cdotfill%20%2621%20%5Cend%7Bcases%7D%20%5C%5C%5C%5C%5C%5C%20A%3D6000%5Cleft%281%2B%5Cfrac%7B0.09%7D%7B12%7D%5Cright%29%5E%7B12%5Ccdot%2021%7D%5Cimplies%20A%3D6000%281.0075%29%5E%7B252%7D%5Cimplies%20A%5Capprox%2039437.11)
Compound percentage reduction can be calculated by multiplying the initial number by (1-x)^t where x is the percentage reduction (/100, i.e. 1% reduction is 0.01), and t is the number of times it has reduced.
So:
a)
![p=45(1-0.06)^t=45*0.94^t](https://tex.z-dn.net/?f=p%3D45%281-0.06%29%5Et%3D45%2A0.94%5Et)
Where t is the number of weeks.
We can then just substitute in to work out the final pressure:
b) p = 45*0.94^6 =
31psi
Answer:
37.6991 cm
Step-by-step explanation: