Set up a proportion and use it to solve for x. 4 3 х 6
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Answer:
Step-by-step explanation:
Since interest is compounded semi-annually (half a year or 6 months), in a spawn of 2 years, the interest will have been compounded 4 times. As given in the problem, each time the interest is compounded, the new balance will be 107% or 1.07 times the amount of the old balance.
Therefore, we can set up the following equation to find the new balance after 2 years:
We know the compound interest formula is given by
Now, we have been given that 24,000 is invested for 2 years with an APR of 6% and daily compounding. Thus, we have
On substituting these values in the above formula for the compound interest, we get
Therefore, the balance in the account after 2 years is 27059.7