Answer:
=5 11/36(Decimal: 5.305556)
Step-by-step explanation:
389+1512
=359+1512
=359+1712
=19136
=5 11/36
Given:
Principal = Rs. 1200
Rate of interest = 25%
To find:
The time in which the interest will became equal to the principal.
Solution:
We have,
![P=1200](https://tex.z-dn.net/?f=P%3D1200)
![r=\dfrac{25}{100}](https://tex.z-dn.net/?f=r%3D%5Cdfrac%7B25%7D%7B100%7D)
![r=0.25](https://tex.z-dn.net/?f=r%3D0.25)
If interest is equal to the principal, then
![Amount=Principal+Interest](https://tex.z-dn.net/?f=Amount%3DPrincipal%2BInterest)
![Amount=1200+1200](https://tex.z-dn.net/?f=Amount%3D1200%2B1200)
![Amount=2400](https://tex.z-dn.net/?f=Amount%3D2400)
The formula for amount is:
![A=P\left(1+r)^n](https://tex.z-dn.net/?f=A%3DP%5Cleft%281%2Br%29%5En)
Substituting
in the above formula, we get
![2400=1200(1+0.25)^n](https://tex.z-dn.net/?f=2400%3D1200%281%2B0.25%29%5En)
![\dfrac{2400}{1200}=(1.25)^n](https://tex.z-dn.net/?f=%5Cdfrac%7B2400%7D%7B1200%7D%3D%281.25%29%5En)
![2=(1.25)^n](https://tex.z-dn.net/?f=2%3D%281.25%29%5En)
Taking log on both sides, we get
![\log2=\log(1.25)^n](https://tex.z-dn.net/?f=%5Clog2%3D%5Clog%281.25%29%5En)
![[\because \log a^b=b\log a]](https://tex.z-dn.net/?f=%5B%5Cbecause%20%5Clog%20a%5Eb%3Db%5Clog%20a%5D)
![\dfrac{\log2}{\log(1.25)}=n](https://tex.z-dn.net/?f=%5Cdfrac%7B%5Clog2%7D%7B%5Clog%281.25%29%7D%3Dn)
![n\approx 3.11](https://tex.z-dn.net/?f=n%5Capprox%203.11)
Therefore, the interest will became equal to the principal in about 3.11 years.
Answer:
13v ??
Step-by-step explanation:
Answer: 240 minutes, 20 cups, 4000 pounds
<u>Step-by-step explanation:</u>
Use the following conversions:
1 hour = 60 minutes
2 cups = 1 pint
2 pints = 1 quart
1 ton = 2000 pounds
![4\ hours\times \dfrac{60\ minutes}{1\ hour}=\large\boxed{240\ minutes}\\\\\\\\5\ quarts \times \dfrac{2\ pints}{1\ quart}\times \dfrac{2\ cups}{1\ pint}=\large\boxed{20\ cups}\\\\\\\\2\ tons\times \dfrac{2000\ pounds}{1\ ton}=\large\boxed{4000\ pounds}](https://tex.z-dn.net/?f=4%5C%20hours%5Ctimes%20%5Cdfrac%7B60%5C%20minutes%7D%7B1%5C%20hour%7D%3D%5Clarge%5Cboxed%7B240%5C%20minutes%7D%5C%5C%5C%5C%5C%5C%5C%5C5%5C%20quarts%20%5Ctimes%20%5Cdfrac%7B2%5C%20pints%7D%7B1%5C%20quart%7D%5Ctimes%20%5Cdfrac%7B2%5C%20cups%7D%7B1%5C%20pint%7D%3D%5Clarge%5Cboxed%7B20%5C%20cups%7D%5C%5C%5C%5C%5C%5C%5C%5C2%5C%20tons%5Ctimes%20%5Cdfrac%7B2000%5C%20pounds%7D%7B1%5C%20ton%7D%3D%5Clarge%5Cboxed%7B4000%5C%20pounds%7D)
the answer is
d. rational