What is the difference between the accumulated amount (future value) and the present value of an investment? Give examples of each.
True or False
1. True or false. When simple interest is used, the accumulated amount is a linear function of time.
2. True or false. Compound interest that is converted once a year is the same as simple interest.
3. True or false. If interest is compounded annually, then the effective rate of interest is the same as the nominal rate of interest.
4. True or false. The present value is always smaller than the future value.
5. True or false. The future value of an annuity can be found by adding together all the payments that are paid into an account.
6. True or false. The periodic payment R where and P is the loan amount and i is the interest per period that will amortize the loan at the end of the term comprising n periods.
7. True or false. A sinking fund is the accumulated amount to be realized at some future date (the end of the term) when a fixed number of periodic payments are paid into an account earning interest at the rate of i per period.
1. What is a Set? Give an example
2. When are two sets equal? Give an example of two equal sets
3. What is the empty set? Give an example
True or False
1. True or false. A set is any collection of objects.
2. True or false. A proper subset of a set is itself a subset of the set, but not vice versa.
3. True or false. The empty set is a subset of every set.
4. True or false. If A ? B = ? , then A = ? and B = ? .
5. True or false. If A ? B = ? , then A = ? or B = ? or both A and B are empty sets.
6. True or false. (A ? Ac)c = ? .
7. True or false. [A ? (B ? C)]c = (A ? B)c ? (A ? C)c
8. True or false. n(A) + n(B) = n(A ? B) + n(A ? B)
9. True or false. If A ? B, then n(B) = n(A) + n(Ac? B).
10. True or false. The number of permutations of n distinct objects taken all together is n!
11. True or false. P(n, r) = r! C(n, r).