An investment will pay you $1,000 at the end of year 1, $2,000 at the end of year 3, and $3,000 at the end of year 5. If the interest rate is 2%, what is the present value of these cash flows. If the interest rate is 4%, what is the present value of these cash flow?, Explain why the PV changes, and what are the limitations of the present value based decision.

this shows a reflection over the x-axis and is translated one unit down and 6 units to the right (x + 6, y - 1)

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δabc ≅ δdcb by sas because

db ≅ ac . . given (side)

bc ≅ bc . . reflexive property (side)

∠dbc ≅ ∠ acb . . alternate interior angles where transversal bc crosses parallel lines bd and ac (included angle)

add the numbers under frequency to find the total number:

5 + 8 +7 + 4 + 0 +1 = 25

the answer is 25.