Jones can deposit $5,000 at the end of each six-month period for the next 12 years and earn interest at an annual rate of 8 percent, compounded semiannually. What will the value of the investment be after 12 years? If the deposits were made at the beginning of each year, what would the value of the investment be after 12 years?

Semiannual means twice a year.

Value of the investment after 12 years will be $ 12816.5

Since, interest is compounded semiannually.

So, number of half yearly in 12 years, n = 24

Rate per half yearly, r = 8/2 = 4 %

Principal amount (P)= $5000

We know that ,

                    $

Therefore, Value of the investment after 12 years will be $ 12816.5

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Step-by-step explanation:

Given,

Jones can deposit $5,000 at the end of each six-month cycle for the next 12 years.

Return at an average pace of 8%

Now,

               PV                                              0                  0

              PMT                                         -5000        -5000

                N                                              24               24

                IR                                              4%              4%

               FV                                   $195,413.02    $203,229.54

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explanation

the graph has a slope of 1/3 because each time you move up 1, you go to the right 3. so, slope = rise/run = 1/3. we can cross choice a off the list since we want a slope of 3, rather than 1/3.

the first table shown has a slope of -3. this is because the rise is -6 and the run is 2, so slope = rise/run = -6/2 = -3. note how x increases by 2 each time (run) and y drops by 6 each time (rise). choice b can be eliminated.

the second table has a slope of 3. each time x goes up by 1, the y values increase by 3. slope = rise/run = 3/1 = 3. alternatively you can use the slope formula to prove that the slope is 3 here. use any two rows of values to generate the two points. choice c is one of the answers

the third table also has a slope of 3. let's use the slope formula to prove as such. i'm going to use the first two rows of the table. so i'll use the two points (2,1) and (5,10)

m = slope

m = (y2-y1)/(x2-x1)

m = (10-1)/(5-2)

m = 9/3

m = 3 so we get a slope of 3

choice d is the other answer

answer: a and c are correct

step-by-step explanation:

the +5 is the vertical translation

the added negative symbol in front is the reflection over the y-axis