Answer:
<h2>
<u> 3.2%</u></h2>
Step-by-step explanation:
Step one:
given data
principal P= $1800
time t= 1 year
Final amount A=1857.60
rate r=?
Step two:
we are expected to solve for the rate, let assume the investment is a simple interest type.
A=P(1+rt)
solve for r we can substitute our data
1857.60=1800(1+r*1)
1857.60=1800+1800r
1857.60-1800=1800r
57.6=1800r
r=57.6/1800
r=0.032
0.032*100= 3.2%
<u>This shows that the rate is 3.2%</u>
Given the two functions:
![\begin{gathered} R(x)=2\sqrt[]{x} \\ S(x)=\sqrt[]{x} \end{gathered}](https://tex.z-dn.net/?f=%5Cbegin%7Bgathered%7D%20R%28x%29%3D2%5Csqrt%5B%5D%7Bx%7D%20%5C%5C%20S%28x%29%3D%5Csqrt%5B%5D%7Bx%7D%20%5Cend%7Bgathered%7D)
We need to find (RoS)(4). THis is the functional composition. We take S(x) and put it into R(x) and then put "4" into that composed function. Shown below is the process:
![(RoS)(x)=2\sqrt[]{\sqrt[]{x}}](https://tex.z-dn.net/?f=%28RoS%29%28x%29%3D2%5Csqrt%5B%5D%7B%5Csqrt%5B%5D%7Bx%7D%7D)
When we plug in "4", into "x", we have:
![\begin{gathered} (RoS)(x)=2\sqrt[]{\sqrt[]{x}} \\ (RoS)(4)=2\sqrt[]{\sqrt[]{4}} \\ =2\sqrt[]{2} \end{gathered}](https://tex.z-dn.net/?f=%5Cbegin%7Bgathered%7D%20%28RoS%29%28x%29%3D2%5Csqrt%5B%5D%7B%5Csqrt%5B%5D%7Bx%7D%7D%20%5C%5C%20%28RoS%29%284%29%3D2%5Csqrt%5B%5D%7B%5Csqrt%5B%5D%7B4%7D%7D%20%5C%5C%20%3D2%5Csqrt%5B%5D%7B2%7D%20%5Cend%7Bgathered%7D)
Answer:
(-4,-8)
Step-by-step explanation:
