For each of the following situations involving annuities, solve for the unknown. assume that interest is compounded annually and that all annuity amounts are received at the end of each period. (i = interest rate, and n = number of years) (fv of $1, pv of $1, fva of $1, pva of $1, fvad of $1 and pvad of $1) (use appropriate factor(s) from the tables provided.)present value annuity amount i= n=1. ? 3000 8% 52. 242980 75000 ? 43. 161214 2 9% ? 4. 5 80518 ? 85. 25 ? 10% 4

1)$11,978

2)9%

3)15 periods

4) 6%

5) $ 78,867.70

Explanation:

   PV       Annuity per period        rate         time  

1.     ?                  3,000                    8%             5

2. 242,980      75,000                     ?                4

3.   161,214       20,000                    9%              ?

4. 500,000       80,518                    ?                 8

5. 250,000           ?                        10%              4

1)

C3,000.00

time5

rate0.08

PV$11,978.1301

2)

solved using excel goal seek or financial calculator

C75,000.00

time4

rate0.089998108 we set up the formula PV(A2;4,75000)

then we use goal seek to find which value of a2(which is the argument for rate) makes the formula equal to 242980

PV$242,980.0000

3)

C  $20,000.00

timen

rate0.09

PV$161,214.0000

-15.00004401

4)

same as (2) solved using excel

C80,518.00

time8

rate0.06000009

PV$500,000.0000

5)

PV250,000

time4

rate0.1

C  $ 78,867.701

hi : ) i found this so i hope this !

"we first find value of tax in dollars.

the difference between the two prices   is: 23. 54 - 22 = 1.54

therefore the sales tax in dollars is 1.54

the tax % will be   (amount of tax / original cost price ) × 100

(1.54 / 22) × 100  → (0.07) × 100 =   7

so the tax rate is 7%

we can double check the answer.

7 % of 22   → (7/100) × 22 → 0.07 × 22 = 1.54

22 + 1.54 = 23.54"