Answer:
The account will earn in one year the amount of $10,512,000
Step-by-step explanation:
Given as :
The principal in the account = $10,000,000
The rate of interest = 5.12% at simple interest
The time period = 1 years
Let The amount that account earn after 1 year = $A
<u>From Simple interest method</u>
Simple interest = S.I = ![\dfrac{\textrm principal\times \textrm rate\times \textrm time}{100}](https://tex.z-dn.net/?f=%5Cdfrac%7B%5Ctextrm%20principal%5Ctimes%20%5Ctextrm%20rate%5Ctimes%20%5Ctextrm%20time%7D%7B100%7D)
or, S.I = ![\dfrac{\textrm 10,000,000\times \textrm 5.12\times \textrm 1}{100}](https://tex.z-dn.net/?f=%5Cdfrac%7B%5Ctextrm%2010%2C000%2C000%5Ctimes%20%5Ctextrm%205.12%5Ctimes%20%5Ctextrm%201%7D%7B100%7D)
or, S.I = ![\dfrac{51200000}{100}](https://tex.z-dn.net/?f=%5Cdfrac%7B51200000%7D%7B100%7D)
or, S.I = $512,000
So, Simple interest = S.I = $512,000
Now, Amount = Principal + Interest
I.e A = $10,000,000 + $512,000
Or, A = $10,512,000
So, Amount = A = $10,512,000
Hence The account will earn in one year the amount of $10,512,000 Answer