Bunuel
Mr. Daniels deposits $10,000 in a savings certificate earning p percent annual interest compounded quarterly. What is the value of p?
(1) During the term of the certificate, he earns $18 more than he would if the interest were not compounded.
(2) He withdraws all the money six months after depositing it
Question: p = ?Statement 1: During the term of the certificate, he earns $18 more than he would if the interest were not compounded.Term of deposit is unknown hence
NOT SUFFICIENT
Statement 2: He withdraws all the money six months after depositing itno information about the interest earned hence
NOT SUFFICIENT
Combining the statementsi.e. \(\frac{10000*p*(0.5)}{100} + 18 = 10000*[1+ \frac{(0.25*p)}{100}]^2\)
Only one unknown hence
SUFFICIENT
Answer: Option C
Since there's a p^2 term in the right, shouldn't we check whether the quadratic equation yields more than 1 +ve value of p?