Answer:11+4n=30
Step-by-step explanation:11+4n=30
Answer:
5% each year. do 150 divided by 3 and you get 50. 50 dollars each year is equal to 5% every year.
Answer:
The equation of line is ![(y-2) = \frac{4}{3} (x -5)](https://tex.z-dn.net/?f=%28y-2%29%20%3D%20%5Cfrac%7B4%7D%7B3%7D%20%28x%20-5%29)
Step-by-step explanation:
Here, the two point line are given as is A(5,2) and B(-1,-6)
The slope of the line AB = ![m = \frac{y_2 - y_1}{x_2 - x_1}](https://tex.z-dn.net/?f=m%20%3D%20%5Cfrac%7By_2%20-%20y_1%7D%7Bx_2%20-%20x_1%7D)
⇒ the slope of AB is m = (4/3)
By POINT SLOPE FORMULA:
The equation of a line with slope m and a point (x0, y0) is given as
(y-y0)= m (x-x0)
⇒ The equation of line with point (5,2) is:
![(y-2) = \frac{4}{3} (x -5)](https://tex.z-dn.net/?f=%28y-2%29%20%3D%20%5Cfrac%7B4%7D%7B3%7D%20%28x%20-5%29%20)
Hence, the equation of line is ![(y-2) = \frac{4}{3} (x -5)](https://tex.z-dn.net/?f=%28y-2%29%20%3D%20%5Cfrac%7B4%7D%7B3%7D%20%28x%20-5%29)
Answer:
![y=\sqrt{x+2}](https://tex.z-dn.net/?f=y%3D%5Csqrt%7Bx%2B2%7D)
Step-by-step explanation:
we know that
In this problem the rule of the transformation is
![(x,y)-------> (x-2,y)](https://tex.z-dn.net/?f=%28x%2Cy%29-------%3E%20%28x-2%2Cy%29)
That means
The transformation is a translation
units to the left
therefore
![\sqrt{x} --------> \sqrt{x+2}](https://tex.z-dn.net/?f=%5Csqrt%7Bx%7D%20--------%3E%20%5Csqrt%7Bx%2B2%7D)
the answer is
![y=\sqrt{x+2}](https://tex.z-dn.net/?f=y%3D%5Csqrt%7Bx%2B2%7D)
![\bf \qquad \textit{Compound Interest Earned Amount} \\\\ A=P\left(1+\frac{r}{n}\right)^{nt} \quad \begin{cases} A=\textit{compounded amount}\to &\$1448.44\\ P=\textit{original amount deposited}\to &\$1000\\ r=rate\\ n= \begin{array}{llll} \textit{times it compounds per year}\\ \textit{semi-annually, thus twice} \end{array}\to &2\\ t=years\to &4 \end{cases}](https://tex.z-dn.net/?f=%5Cbf%20%5Cqquad%20%5Ctextit%7BCompound%20Interest%20Earned%20Amount%7D%0A%5C%5C%5C%5C%0AA%3DP%5Cleft%281%2B%5Cfrac%7Br%7D%7Bn%7D%5Cright%29%5E%7Bnt%7D%0A%5Cquad%20%0A%5Cbegin%7Bcases%7D%0AA%3D%5Ctextit%7Bcompounded%20amount%7D%5Cto%20%26%5C%241448.44%5C%5C%0AP%3D%5Ctextit%7Boriginal%20amount%20deposited%7D%5Cto%20%26%5C%241000%5C%5C%0Ar%3Drate%5C%5C%0An%3D%0A%5Cbegin%7Barray%7D%7Bllll%7D%0A%5Ctextit%7Btimes%20it%20compounds%20per%20year%7D%5C%5C%0A%5Ctextit%7Bsemi-annually%2C%20thus%20twice%7D%0A%5Cend%7Barray%7D%5Cto%20%262%5C%5C%0A%0At%3Dyears%5Cto%20%264%0A%5Cend%7Bcases%7D)
solve for "r", now, the value you'd get, is a decimal format of it, thus, just multiply it by 100 to get the percent in % form