Assuming annual compounding, then:
FV=15000*(1+.035)^15
FV=15000*1.6753488307521611831782355996538
FV=$25130.23
At the end of 15 years, Tom should have $25130.23 in his account.
Answer: -124
Step-by-step explanation: -83-41
subtract and it suppose to give you -124
Answer: The angle through which the pendulum travels =
.
Step-by-step explanation:
Formula: Length of arc:
, where r= radius ( in radians) ,
= central angle.
Given: Length of pendulum (radius) = 45 cm
Length of arc= 27.5 cm
Put these values in the formula, we get
![27.5=45\theta\\\\\Rightarrow\theta=\dfrac{27.5}{45}=\dfrac{275}{450}\\\\\Rightarrow\ \theta=\dfrac{11}{18}\text{ radians}](https://tex.z-dn.net/?f=27.5%3D45%5Ctheta%5C%5C%5C%5C%5CRightarrow%5Ctheta%3D%5Cdfrac%7B27.5%7D%7B45%7D%3D%5Cdfrac%7B275%7D%7B450%7D%5C%5C%5C%5C%5CRightarrow%5C%20%5Ctheta%3D%5Cdfrac%7B11%7D%7B18%7D%5Ctext%7B%20radians%7D)
In degrees ,
![\theta=\dfrac{11}{18}\times\dfrac{180}{\pi}=\dfrac{110\times7}{22} \ \ \ \ [\pi=\dfrac{22}{7}]](https://tex.z-dn.net/?f=%5Ctheta%3D%5Cdfrac%7B11%7D%7B18%7D%5Ctimes%5Cdfrac%7B180%7D%7B%5Cpi%7D%3D%5Cdfrac%7B110%5Ctimes7%7D%7B22%7D%20%5C%20%5C%20%5C%20%5C%20%20%20%20%5B%5Cpi%3D%5Cdfrac%7B22%7D%7B7%7D%5D)
![\theta=35^{\circ}](https://tex.z-dn.net/?f=%5Ctheta%3D35%5E%7B%5Ccirc%7D)
Hence, the angle through which the pendulum travels =
.
The answer to 1 4/5 x 2 1/3 would be 4 1/5. Which is greater than 2 1/3.