Mark Johnson saves a fixed percentage of his salary at the end of each year. This year he saved $2,000. For each of the next 5 years, he expects his salary to increase at an 10% annual rate, and he plans to increase his savings at the same 10% rate. There will be a total of 6 investments, the initial $2,000 plus five more. If the investments earn a return of 13% per year, how much will Mark have at the end of six years?

The correct answer is:

$17,437.28

Explanation:

First of all, let us lay out the particulars that will aid us in our calculations:

Amount saved in year 1 = $2000

Number of years saved in total = 6 years

annual rate of savings increase = 10% increase on the amount for that year to the next year

Annual return on investment = 13%.

Next, let us calculate the 10% increase in savings from years 2 to 6.

Year 1 investment = $ 2000

Year 2 investment = Year 1 saving + 10% of year one saving

hence, investment 2 saving = 2000 + (10/100 × 2000) = 2000 + (0.1 × 2000)

Year 2 investment = 2000 +200 = $2,200.

Year 3 investment = year 2 saving + (0.1 × year 2 saving) = 2200 + (0.1 × 2200)

year 3 investment = 2200 + 220 = $2,420

Year 4 investment = 2420 + (0.1 × 2420) = 2420 + 242 = $2,662

Year 5 investment = 2662 + (0.1 × 2662) = 2662 + 266.2 = $2928.2

Year 6 investment = 2928.2 + (0.1 × 2928.2) = 2928.2 + 292.82 = $3,221.02

Next, let us create a table to show the total amount for each year.

Note, to determine the 13% annual investment return on each year:

13% = 13/100 = 0.13. So, we will multiply the investment for each year with 0.13 to get the annual investment. It is shown hence:

Year   Investment (I) ($)   Annual return (AR) ($)    Total amount (I + AR) ($)

1             2000                   260                                     2260

2            2200                   286                                     2486

3            2420                   314.6                                   2734.6

4            2662                   346.06                               3008.06

5            2928.2                380.67                               3308.87

6            3221.02               418.73                                3639.75

Total                                                                             17,437.28    

Therefore, at the end of 6 years mark would have $17,437.28 (approx. $17,437)

answer; limited pay life;

1) the stages a new product goes through from beginning to end, i.e., the stages that a product passes through from introduction through growth, maturity, and decline. 2) the time from initial research and development to the time at which sales and support of the product to customers are withdrawn. 3) the period of time during which a product can be produced and marketed profitably.

                                          hope it