The rate of interest is 13%.
Step-by-step explanation:
Given,
Principal (P) = $560
Interest (I) = $145.60
Time (T) = 2 years
To find the rate of interest
Formula
If P principal was invested for T years at r% simple interest, the interest will be I = ![\frac{PTr}{100}](https://tex.z-dn.net/?f=%5Cfrac%7BPTr%7D%7B100%7D)
So,
Putting the values of P, I, T we get,
145.60 = ![\frac{560X2Xr}{100}](https://tex.z-dn.net/?f=%5Cfrac%7B560X2Xr%7D%7B100%7D)
or, r = ![\frac{145.60X100}{2X560}](https://tex.z-dn.net/?f=%5Cfrac%7B145.60X100%7D%7B2X560%7D)
or, r = 13%
Hence,
The rate of interest is 13%.
![f(x)=\begin{cases}5x-8&\text{for }x](https://tex.z-dn.net/?f=f%28x%29%3D%5Cbegin%7Bcases%7D5x-8%26%5Ctext%7Bfor%20%7Dx%3C0%5C%5C%7C-4-x%7C%26%5Ctext%7Bfor%20%7Dx%5Cge0%5Cend%7Bcases%7D)
The limits from either side are
![\displaystyle\lim_{x\to0^-}f(x)=\lim_{x\to0}(5x-8)=-8](https://tex.z-dn.net/?f=%5Cdisplaystyle%5Clim_%7Bx%5Cto0%5E-%7Df%28x%29%3D%5Clim_%7Bx%5Cto0%7D%285x-8%29%3D-8)
![\displaystyle\lim_{x\to0^+}f(x)=\lim_{x\to0}|-4-x|=\lim_{x\to0}|x+4|=|4|=4](https://tex.z-dn.net/?f=%5Cdisplaystyle%5Clim_%7Bx%5Cto0%5E%2B%7Df%28x%29%3D%5Clim_%7Bx%5Cto0%7D%7C-4-x%7C%3D%5Clim_%7Bx%5Cto0%7D%7Cx%2B4%7C%3D%7C4%7C%3D4)
The one-sided limits don't match, so the limit as
does not exist.
(r-9)(r+4)
r^2+4r-9r+36
r^2-5r+36
Lcm for 6 and 8 is 24
24/6=4
24/8=3
slice every piece in the first pizza into 4 equal pieces
and every piece in the second pizza into 3 equal pieces.
Answer:
$519.68
Step-by-step explanation:
(512$ × 1.5)/100
=$7.8
512$+ $7.8
= $519.68