i need to know amount needed now to invest to receive annuity of 15000
amount of annuity expected %15000
payment quarterly
4 years
8 %
present value needed now to receive annuity

P = $203,666

Step-by-step explanation:

given,

rate = 8 %   for quarterly  rate = 8/4 = 2 %

time = 4 years = 4 × 4 = 16 quarters                            

annuity needed after 4 years =  $ 15000                            

Present value (P)=                

                        P =        

                        P = $203,665.63                            

hence, the present value require to get Annuity of 15000 P = $203,666

none of the option is correct.

step-by-step explanation:

it says to find which expression equals 9^3 sqrt 10 = ?

9^3 sqrt 10 = 729 sqrt 10.

checking option a. 5 sqrt 10 + 4 sqrt 10

5 sqrt 10 + 4 sqrt 10

= 9 sqrt 10.

checking option b. 5^3 sqrt 10 + 4^3 sqrt 10

5^3 sqrt 10 + 4^3 sqrt 10

= 125 sqrt 10 + 64 sqrt 10

= 189 sqrt 10.

checking option c. 5 sqrt 10 + 4^3 sqrt 10

5 sqrt 10 + 4^3 sqrt 10

= 5 sqrt 10 + 64 sqrt 10

= 69 sqrt 10.

checking option d. 5^3 sqrt 10 + 4 sqrt 10

5^3 sqrt 10 + 4 sqrt 10

= 125 sqrt 10 + 4 sqrt 10

= 129 sqrt 10.

hence, none of the option is correct.

answer: add the !

step-by-step explanation: then we will answer