Question 1 (1 point)
Jackson started a savings account with $25. He plans to deposit $25 each
month for the next 12 months, then continue those monthly deposits
in following years. The account earns interest at an annual rate of 4%
compounded annually, based on his final yearly balance. Fill in the chart
to find out how much money he will have in the account after 3 years.
Deposit Beginning balance Amount deposited
phase for new phase $ by year end $
New
balance $
Interest
rate %
Amount
of interest
earned $
Ending
balance $
1
25.00
300.00
4
325.00
2.
3
What is Jackson's balance after 3 years?

 see proof below

Step-by-step explanation:

Given: A + B + C = π     →     A + B = π - C

                                             A + C = π - B                                            

                                             B + C = π - A

Use the Cofunction Identity:  sin A = cos (π/2 - A)

Use the following Sum to Product Identity:

sin A + sin B = 2 sin [(A + B)/2] · cos [(A + B)/2]

Use the Double Angle Identity:  sin 2A = 2 sin A · cos A

Proof LHS → RHS

LHS:                   sin (B + C - A) + sin (C + A - B) + sin (A + B - C)

Given:                 sin[(π - A) - A) + sin [(π - B) - B] + sin [(π - C) - C]

                        = sin (π - 2A) + sin (π - 2B) + sin (π - 2C)

                        = sin 2A + sin 2B + sin 2C

                        = (sin 2A + sin 2B) + sin 2C

Given:                  2 sin C · cos (A - B) + 2 sin C · cos C

Factor:                 2 sin C [cos (A - B) + cos C]

Cofunction:        4 sin A · sin B · sin C

LHS = RHS: 4 sin A · sin B · sin C = 4 sin A · sin B · sin C