Suppose you want to have $700,000 for retirement in 20 years, Your account earns 6% interest.

a) How much would you need to deposit in the account each month?

b) How much interest will you earn? 

A BCom graduate bought a small apartment for R151 000. She paid a down payment of R51 000. If the graduate secures a mortgage bond for the balance at \(15 \% \) per annum, compounded monthly, with a term of 

\(30\) years, what are the monthly payments? 

A. R419,44 

B. R1 \(316,79\) 

C. R1 \(988,35\) 

D. R1 \(264,44\) 

Suppose that a company has just purchased a new computer for $1500. The company chooses to depreciate using the straight-line method for 5 years. 

(a) Write a linear function that expresses the book value of the computer as a function of its age. 

V(x) = -300x + 1500 

(Type your answer in slope-intercept form.) 

(b) What is the implied domain of the function found in part (a)? 

\( \square \) 

(Type your answer in interval notation.) 

On November 1, you decide that in exactly two years you will take a cruise that costs $ 11,211 . How much should you deposit each month into your vacation fund in order to have $ 11,211  in two years to pay for the trip? Assume an annual interest rate of 1.3% compounded monthly. (Assume that the deposits are made at the end of each compounding period.) The amount that should be deposited is \(\$ \) (Round up to the nearest cent.) 

The following data were reported by a corporation:  

1.

Authorized shares 34,000 Issued shares 29,000 Treasury shares 10,500 The number of outstanding shares is: Multiple Choice: 1. 23,500 2. 18,500 3. 44,500 4. 34,000

2.

Authorized shares 20,000 Issued shares 15,000 Treasury shares 3,000 The number of outstanding shares is:_____

3.

Authorized shares 22,000 Issued shares 17,000 Treasury shares 4,000 The number of outstanding shares is:

Multiple Choice: 1. 22,000 2. 13,000 3. 26,000

4.

Authorized shares 31,000 Issued shares 26,000 Treasury shares 9,000

The number of outstanding shares is:

1. 26,000

2. 17,000

3. 31,000

4. 40,000

5. 22,000

5.

Authorized shares: 60,000

Issued shares: 50,000

Treasury shares: 12,000

The number of outstanding shares is:

Multiple Choice:

1. 50,000

2. 38,000

3. 62,000

4. 48,000

6.

Authorized shares: 40,000

Issued shares: 32,000

Treasury shares: 8,000

The number of outstanding shares is:

Multiple Choice:

1. 24,000

2. 40,000

3. 32,000

4. 40,000