I believe there is only one answer
solve for "r"
notice, the "r" value, goes in the equation as a decimal, so 5% is really 5/100 or 0.05 25% is 0.25 and so on
so... the "r" that you'll get, will be a decimal value, multiply that by 100, and you'll get the percentage notation of it
![\bf 6,000=2,500\left(1+\frac{r}{4}\right)^{4\cdot 10}\implies\cfrac{6000}{2500}=\left(1+\frac{r}{4}\right)^{40} \\ \quad \\ \cfrac{12}{5}=\left(1+\frac{r}{4}\right)^{40}\impliedby \textit{now, taking root }\sqrt[40]{\qquad } \\ \quad \\ \sqrt[40]{\cfrac{12}{5}}=\sqrt[40]{\left(1+\frac{r}{4}\right)^{40}}\implies \sqrt[40]{\cfrac{12}{5}}=1+\cfrac{r}{4} \\ \quad \\ \sqrt[40]{\cfrac{12}{5}}-1=\cfrac{r}{4}\implies 4\left( \sqrt[40]{\cfrac{12}{5}}-1 \right)=r \\ \quad \\ ](https://tex.z-dn.net/?f=%5Cbf%206%2C000%3D2%2C500%5Cleft%281%2B%5Cfrac%7Br%7D%7B4%7D%5Cright%29%5E%7B4%5Ccdot%2010%7D%5Cimplies%5Ccfrac%7B6000%7D%7B2500%7D%3D%5Cleft%281%2B%5Cfrac%7Br%7D%7B4%7D%5Cright%29%5E%7B40%7D%0A%5C%5C%20%5Cquad%20%5C%5C%0A%5Ccfrac%7B12%7D%7B5%7D%3D%5Cleft%281%2B%5Cfrac%7Br%7D%7B4%7D%5Cright%29%5E%7B40%7D%5Cimpliedby%20%5Ctextit%7Bnow%2C%20taking%20root%20%7D%5Csqrt%5B40%5D%7B%5Cqquad%20%7D%0A%5C%5C%20%5Cquad%20%5C%5C%0A%5Csqrt%5B40%5D%7B%5Ccfrac%7B12%7D%7B5%7D%7D%3D%5Csqrt%5B40%5D%7B%5Cleft%281%2B%5Cfrac%7Br%7D%7B4%7D%5Cright%29%5E%7B40%7D%7D%5Cimplies%20%5Csqrt%5B40%5D%7B%5Ccfrac%7B12%7D%7B5%7D%7D%3D1%2B%5Ccfrac%7Br%7D%7B4%7D%0A%5C%5C%20%5Cquad%20%5C%5C%0A%5Csqrt%5B40%5D%7B%5Ccfrac%7B12%7D%7B5%7D%7D-1%3D%5Ccfrac%7Br%7D%7B4%7D%5Cimplies%204%5Cleft%28%20%5Csqrt%5B40%5D%7B%5Ccfrac%7B12%7D%7B5%7D%7D-1%20%5Cright%29%3Dr%20%5C%5C%20%5Cquad%20%5C%5C%0A)
Answer:
0.000023456633455 is answer
Hey there!
When we put a number in scientific notation, we want the first number to be at least 1 and less than 10. There must be a digit from 1-9 in the ones place.
With the number 0.000015, we can move the decimal place 5 places to the right and we have 1.5, which is more than one and less than ten.
Because we moved the decimal place 5 places to the right, 1.5 is multiplied by 10 to the power of -5.
The 5 is the number of places the decimal is moved, and the negative sign is because we moved it to the right.
10^(-5) is the same as 0.00001, just for context.
So, 0.000015 meters in scientific notation is 1.5 x 10^(5) meters.
Hope this helps!
