Elizabeth brown wants to accumulate $8,000 by the end of 12 years. if the annual interest rate is 7.30 percent and interest compounded semi annually, how much will she have to invest today to achieve her goal?

She will invest approximately $3,383.97

Explanation:

Formula for compound interest:

                                 A  =  P(1 + r/n)^nt

Where:                      A  = Final amount

                                 P  =  Principal amount

                                 r   =  Interest rate

                                 n  =  Number of compounding periods per year

                                  t  =  Time period in years.

                                 A  =  $8,000

                                 P  =  Unknown

                                 r   =  7.30 percent   = 7.3% = 0.073

                                 n  =   semi annually = 2

                                  t  =   12 years

                         8,000  =  P(1 + 0.073/2)^2(12)

                         8,000  =  P(1 + 0.0365)^24

                         8,000  =  P(1.0365)^24

                         8,000  =  2.364086453P

Divide both sides by the coefficient of P

  8,000/2.364086453 =  2.364086453P/2.364086453

             3,383.971001  =  P

                                P   ≈  $3,383.97

That is Elizabeth Brown will invest approximately $3,383.97 to achieve her goal

ans.

heterothermic organisms include those organisms that can switch between homeothermic (having body temperature higher than environment) and poikilothermic (having variation in internal body temperature) strategies.

some migratory birds show heterothermy as they decrease their metabolic rate during cold nights to keep their body temperature low. drop in metabolic rate allows increase in production efficiency of birds that reduces the internal body temperature to make it equal to external cold temperature during cold nights.

thus, the correct answer is 'birds allow their temperature drop in order to increase their production efficiency.'

answer; foreign exchange transaction;