Answer:9.0875
Step-by-step explanation:
[2.4–(0.3–3.21)÷2+0.44÷(−2)]÷ 2/5=
[4.8:2-(-2.91):2-0.44:2]:2/5=
=[(4.8+2.91-0.44):2]*5/2=
=[(7.71-0.44):2]*5/2=
=(7.27:2)*5/2=(7.27*5):(2*2)=
=36.35:4=9.0875
![\bf \qquad \qquad \qquad \qquad \textit{function transformations} \\ \quad \\\\ % left side templates \begin{array}{llll} f(x)=&{{ A}}({{ B}}x+{{ C}})+{{ D}} \\ \quad \\ y=&{{ A}}({{ B}}x+{{ C}})+{{ D}} \\ \quad \\ f(x)=&{{ A}}\sqrt{{{ B}}x+{{ C}}}+{{ D}} \\ \quad \\ f(x)=&{{ A}}(\mathbb{R})^{{{ B}}x+{{ C}}}+{{ D}} \\ \quad \\ f(x)=&{{ A}} sin\left({{ B }}x+{{ C}} \right)+{{ D}} \end{array}\\\\ --------------------\\\\](https://tex.z-dn.net/?f=%5Cbf%20%5Cqquad%20%5Cqquad%20%5Cqquad%20%5Cqquad%20%5Ctextit%7Bfunction%20transformations%7D%0A%5C%5C%20%5Cquad%20%5C%5C%5C%5C%0A%25%20left%20side%20templates%0A%5Cbegin%7Barray%7D%7Bllll%7D%0Af%28x%29%3D%26%7B%7B%20%20A%7D%7D%28%7B%7B%20%20B%7D%7Dx%2B%7B%7B%20%20C%7D%7D%29%2B%7B%7B%20%20D%7D%7D%0A%5C%5C%20%5Cquad%20%5C%5C%0Ay%3D%26%7B%7B%20%20A%7D%7D%28%7B%7B%20%20B%7D%7Dx%2B%7B%7B%20%20C%7D%7D%29%2B%7B%7B%20%20D%7D%7D%0A%5C%5C%20%5Cquad%20%5C%5C%0Af%28x%29%3D%26%7B%7B%20%20A%7D%7D%5Csqrt%7B%7B%7B%20%20B%7D%7Dx%2B%7B%7B%20%20C%7D%7D%7D%2B%7B%7B%20%20D%7D%7D%0A%5C%5C%20%5Cquad%20%5C%5C%0Af%28x%29%3D%26%7B%7B%20%20A%7D%7D%28%5Cmathbb%7BR%7D%29%5E%7B%7B%7B%20%20B%7D%7Dx%2B%7B%7B%20%20C%7D%7D%7D%2B%7B%7B%20%20D%7D%7D%0A%5C%5C%20%5Cquad%20%5C%5C%0Af%28x%29%3D%26%7B%7B%20%20A%7D%7D%20sin%5Cleft%28%7B%7B%20B%20%7D%7Dx%2B%7B%7B%20%20C%7D%7D%20%20%5Cright%29%2B%7B%7B%20%20D%7D%7D%0A%5Cend%7Barray%7D%5C%5C%5C%5C%0A--------------------%5C%5C%5C%5C)
![\bf \bullet \textit{ stretches or shrinks horizontally by } {{ A}}\cdot {{ B}}\\\\ \bullet \textit{ flips it upside-down if }{{ A}}\textit{ is negative}\\ \left. \qquad \right. \textit{reflection over the x-axis} \\\\ \bullet \textit{ flips it sideways if }{{ B}}\textit{ is negative}\\ \left. \qquad \right. \textit{reflection over the y-axis}](https://tex.z-dn.net/?f=%5Cbf%20%5Cbullet%20%5Ctextit%7B%20stretches%20or%20shrinks%20horizontally%20by%20%20%7D%20%7B%7B%20%20A%7D%7D%5Ccdot%20%7B%7B%20%20B%7D%7D%5C%5C%5C%5C%0A%5Cbullet%20%5Ctextit%7B%20flips%20it%20upside-down%20if%20%7D%7B%7B%20%20A%7D%7D%5Ctextit%7B%20is%20negative%7D%5C%5C%0A%5Cleft.%20%5Cqquad%20%20%20%5Cright.%20%20%5Ctextit%7Breflection%20over%20the%20x-axis%7D%0A%5C%5C%5C%5C%0A%5Cbullet%20%5Ctextit%7B%20flips%20it%20sideways%20if%20%7D%7B%7B%20%20B%7D%7D%5Ctextit%7B%20is%20negative%7D%5C%5C%0A%5Cleft.%20%5Cqquad%20%20%20%5Cright.%20%20%5Ctextit%7Breflection%20over%20the%20y-axis%7D)
![\bf \bullet \textit{ horizontal shift by }\frac{{{ C}}}{{{ B}}}\\ \left. \qquad \right. if\ \frac{{{ C}}}{{{ B}}}\textit{ is negative, to the right}\\\\ \left. \qquad \right. if\ \frac{{{ C}}}{{{ B}}}\textit{ is positive, to the left}\\\\ \bullet \textit{ vertical shift by }{{ D}}\\ \left. \qquad \right. if\ {{ D}}\textit{ is negative, downwards}\\\\ \left. \qquad \right. if\ {{ D}}\textit{ is positive, upwards}\\\\ \bullet \textit{ period of }\frac{2\pi }{{{ B}}}](https://tex.z-dn.net/?f=%5Cbf%20%5Cbullet%20%5Ctextit%7B%20horizontal%20shift%20by%20%7D%5Cfrac%7B%7B%7B%20%20C%7D%7D%7D%7B%7B%7B%20%20B%7D%7D%7D%5C%5C%0A%5Cleft.%20%5Cqquad%20%20%5Cright.%20if%5C%20%5Cfrac%7B%7B%7B%20%20C%7D%7D%7D%7B%7B%7B%20%20B%7D%7D%7D%5Ctextit%7B%20is%20negative%2C%20to%20the%20right%7D%5C%5C%5C%5C%0A%5Cleft.%20%5Cqquad%20%20%5Cright.%20%20if%5C%20%5Cfrac%7B%7B%7B%20%20C%7D%7D%7D%7B%7B%7B%20%20B%7D%7D%7D%5Ctextit%7B%20is%20positive%2C%20to%20the%20left%7D%5C%5C%5C%5C%0A%5Cbullet%20%5Ctextit%7B%20vertical%20shift%20by%20%7D%7B%7B%20%20D%7D%7D%5C%5C%0A%5Cleft.%20%5Cqquad%20%20%5Cright.%20if%5C%20%7B%7B%20%20D%7D%7D%5Ctextit%7B%20is%20negative%2C%20downwards%7D%5C%5C%5C%5C%0A%5Cleft.%20%5Cqquad%20%20%5Cright.%20if%5C%20%7B%7B%20%20D%7D%7D%5Ctextit%7B%20is%20positive%2C%20upwards%7D%5C%5C%5C%5C%0A%5Cbullet%20%5Ctextit%7B%20period%20of%20%7D%5Cfrac%7B2%5Cpi%20%7D%7B%7B%7B%20%20B%7D%7D%7D)
with that template in mind, let's see
![\bf f(x)=\sqrt{x}\qquad \begin{array}{llll} g(x)=&\sqrt{0.5x}\\ &\quad \uparrow \\ &\quad B \end{array}](https://tex.z-dn.net/?f=%5Cbf%20f%28x%29%3D%5Csqrt%7Bx%7D%5Cqquad%20%0A%5Cbegin%7Barray%7D%7Bllll%7D%0Ag%28x%29%3D%26%5Csqrt%7B0.5x%7D%5C%5C%0A%26%5Cquad%20%5Cuparrow%20%5C%5C%0A%26%5Cquad%20%20B%0A%5Cend%7Barray%7D)
so B went form 1 on f(x), down to 0.5 or 1/2 on g(x)
B = 1/2, thus the graph is stretched by twice as much.
Https://us-static.z-dn.net/files/d1e/04b1f4bb9da77e9bfea077c2aeee7a27.jpg
Solution :
Amount of money Victoria has = $200
The amount modelled by function = h(x) = 200
According to the function,
s(x) = (1.05)x - 1
It means that the total amount of the interest that Victoria will receive s(x) is equal to original amount of $200 which multiplied by the rate of interest (1.05) and then multiplied by the time that Victoria keeps the money in the bank (x) minus 1.