A stock sells for $6.99 on December 31, providing the seller with a 6% annual return. What was the price of the stock at the beg
1 answer:
Answer:
Correct option is 6.59
Explanation:
Selling price of stock at the end of the year is $6.99. Annual return rate is 6%. Price of stock at the beginning will be present value of stock valued at the end discounted at 6%. Computation is as shown below:
= $6.59
Therefore, Stock's price in the beginning of the year is $6.59.
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Answer:
Number of units possible in S are 4.
Explanation:
Given <em>S</em> is a set of complex number of the form where <em>a</em> and <em>b</em> are integers.
is a unit if
exists such that
.
To find:
Number of units possible = ?
Solution:
Given that:
Taking modulus both sides:
Using the property that modulus of product of two complex numbers is equal to their individual modulus multiplied.
i.e.
So,
......... (1)
Let
Then modulus of z is
Given that a and b are <em>integers</em>, so the equation (1) can be true only when (Reciprocal of 1 is 1). Modulus can be equal only when one of the following is satisfied:
(a = 1, b = 0) , (a = -1, b = 0), (a = 0, b = 1) OR (a = 0, b = -1)
So, the possible complex numbers can be:
Hence, number of units possible in S are 4.