20 pts ! randy has been awarded some money in a settlement. he has the option to take a lump sum payment of $300,000 or get paid an annuity of $2,000 per month for the next 20 years. which is the better deal for randy, and by how much, assuming the growth rate of the economy is 5.65% per year? (a) lump sum: by $23,606.12 (b) lump sum: by $16,726.56 (c) annuity: by $23,606.12 (d) annuity: by $16,726.56

Answer  - B

Formula to calculate present value of annuity:

PV = P( 1 - ( 1+r)^(-n) )/r

PV- present value,  P- payment,  r- periodic interest rate, n - number of periods

On putting the values,

PV = 2000( 1 - ( 1 + (5.65/1200)^(-240) ) / (5.65/1200)

PV = 283273.44

Lump sum - PV = 300000 - 283273.44 = 16726.56

-362

step-by-step explanation:

(12)(4)+2(12)-34(12)+2(12)-3

  \/         \/         \/         \/

  48 +   24 -   408 + 24 - 3

      \   /               \   /

          72     -     432 - 3 = -363

2/3

step-by-step explanation:

the slope of a line is equal to the rise/run. in this case the line rises 2 units for every +3 units it moves