Can someone help me with these 2 questions? Pls explain
1 answer:
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So, from 1992 to 1997, it went up by some "r" rate, ok.. that means some percentage, that means some rate of growth, so is an exponential function, with a positive rate, or +r
if we take 1992, to be 0years, then the starting amount for the tuition is 1685
that is
now, let's go to 1997, 5 years later, when t = 5, we know the tuition price then was 2392, so A = 2392
thus![\bf A=P\left(1+r\right)^t \quad \begin{cases} A=\textit{accumulated amount}\to &\$2392\\ P=\textit{starting amount}\to &\$1685\\ r=rate\\ t=years\to &5 \end{cases} \\\\\\ 2392=1685(1+r)^5\implies \cfrac{2392}{1685}=(1+r)^5\implies \sqrt[5]{\cfrac{2392}{1685}}=1+r \\\\\\ \boxed{\sqrt[5]{\cfrac{2392}{1685}}-1=r}](https://tex.z-dn.net/?f=%5Cbf%20A%3DP%5Cleft%281%2Br%5Cright%29%5Et%0A%5Cquad%20%0A%5Cbegin%7Bcases%7D%0AA%3D%5Ctextit%7Baccumulated%20amount%7D%5Cto%20%26%5C%242392%5C%5C%0AP%3D%5Ctextit%7Bstarting%20amount%7D%5Cto%20%26%5C%241685%5C%5C%0Ar%3Drate%5C%5C%0At%3Dyears%5Cto%20%265%0A%5Cend%7Bcases%7D%0A%5C%5C%5C%5C%5C%5C%0A2392%3D1685%281%2Br%29%5E5%5Cimplies%20%5Ccfrac%7B2392%7D%7B1685%7D%3D%281%2Br%29%5E5%5Cimplies%20%5Csqrt%5B5%5D%7B%5Ccfrac%7B2392%7D%7B1685%7D%7D%3D1%2Br%0A%5C%5C%5C%5C%5C%5C%0A%5Cboxed%7B%5Csqrt%5B5%5D%7B%5Ccfrac%7B2392%7D%7B1685%7D%7D-1%3Dr%7D)
now, you'd get a value in decimal format, so, to get the % format, simply multiply it by 100
if we take 1992, to be 0years, then the starting amount for the tuition is 1685
that is
now, let's go to 1997, 5 years later, when t = 5, we know the tuition price then was 2392, so A = 2392
thus
now, you'd get a value in decimal format, so, to get the % format, simply multiply it by 100