Answer:
4 dollars 80 cents
Step-by-step explanation:
if annual is 12%, find monthly, 12/12=1
monthly rate is 1%
convert to decimal
0.01
480*0.01
4.8
The answer is no solution
Answer:
the last one talking about victoria has y dollars
Step-by-step explanation:
x times 12 is equal to y, so the equation is y = 12x
We can find the acceleration via
![{v_f}^2-{v_i}^2=2a\Delta x](https://tex.z-dn.net/?f=%7Bv_f%7D%5E2-%7Bv_i%7D%5E2%3D2a%5CDelta%20x)
We have
![\left(5.20\dfrac{\rm m}{\rm s}\right)^2-\left(31.1\dfrac{\rm m}{\rm s}\right)^2=2a(115\,\mathrm m)](https://tex.z-dn.net/?f=%5Cleft%285.20%5Cdfrac%7B%5Crm%20m%7D%7B%5Crm%20s%7D%5Cright%29%5E2-%5Cleft%2831.1%5Cdfrac%7B%5Crm%20m%7D%7B%5Crm%20s%7D%5Cright%29%5E2%3D2a%28115%5C%2C%5Cmathrm%20m%29)
![\implies\boxed{a=-4.09\dfrac{\rm m}{\mathrm s^2}}](https://tex.z-dn.net/?f=%5Cimplies%5Cboxed%7Ba%3D-4.09%5Cdfrac%7B%5Crm%20m%7D%7B%5Cmathrm%20s%5E2%7D%7D)
Then by definition of average acceleration,
![a_{\rm ave}=\dfrac{v_f-v_i}t](https://tex.z-dn.net/?f=a_%7B%5Crm%20ave%7D%3D%5Cdfrac%7Bv_f-v_i%7Dt)
so that
![-4.09\dfrac{\rm m}{\mathrm s^2}=\dfrac{5.20\frac{\rm m}{\rm s}-31.1\frac{\rm m}{\rm s}}t](https://tex.z-dn.net/?f=-4.09%5Cdfrac%7B%5Crm%20m%7D%7B%5Cmathrm%20s%5E2%7D%3D%5Cdfrac%7B5.20%5Cfrac%7B%5Crm%20m%7D%7B%5Crm%20s%7D-31.1%5Cfrac%7B%5Crm%20m%7D%7B%5Crm%20s%7D%7Dt)
![\implies\boxed{t=6.33\,\mathrm s}](https://tex.z-dn.net/?f=%5Cimplies%5Cboxed%7Bt%3D6.33%5C%2C%5Cmathrm%20s%7D)
We alternatively could have found the time without knowing the acceleration. Since acceleration is constant, the average velocity is
![v_{\rm ave}=\dfrac{x_f-x_i}t=\dfrac{v_f+v_i}2](https://tex.z-dn.net/?f=v_%7B%5Crm%20ave%7D%3D%5Cdfrac%7Bx_f-x_i%7Dt%3D%5Cdfrac%7Bv_f%2Bv_i%7D2)
Then
![\dfrac{115\,\rm m}t=\dfrac{5.20\frac{\rm m}{\rm s}+31.1\frac{\rm m}{\rm s}}2](https://tex.z-dn.net/?f=%5Cdfrac%7B115%5C%2C%5Crm%20m%7Dt%3D%5Cdfrac%7B5.20%5Cfrac%7B%5Crm%20m%7D%7B%5Crm%20s%7D%2B31.1%5Cfrac%7B%5Crm%20m%7D%7B%5Crm%20s%7D%7D2)
![\implies\boxed{t=6.33\,\mathrm s}](https://tex.z-dn.net/?f=%5Cimplies%5Cboxed%7Bt%3D6.33%5C%2C%5Cmathrm%20s%7D)