<PAGE>   1
                                                                   EXHIBIT 10.82

                                PROMISSORY NOTE


$42,120                                                         January 15, 1998

                 FOR VALUE RECEIVED, the undersigned, Fisher Communications
Associates, L.L.C. ("Fisher"), promises to pay American Televenture of
Minersville, Inc. (the "Payee") $42,120.  Any unpaid amounts due and owing
hereunder shall be due and payable on January 31, 2006.  Notwithstanding the
foregoing, upon receipt of any Distributions, Fisher shall immediately prepay
this Note in an amount equal to the lesser of (a) the outstanding principal 
amount and accrued interest, if any, owing under this Note and (b) the amount of
such Distributions. For purposes of this Note, Distributions shall mean any and
all cash distributions related to Fisher's ownership interest in Peak 
Cablevision, LLC ("Peak") except for those distributions made to Fisher to pay
income tax liabilities related to the taxable income of Peak's operations.
Unless otherwise indicated herein, this Note shall not bear interest.

                 Notwithstanding the due date of this Note or any other
provision hereof, this Note, the principal amount thereof and all other
obligations of Fisher hereunder will, at the option of Payee, immediately
become due and payable upon the occurrence of any of the following events:

                 1.       Fisher fails to pay promptly in full any amount due
under this Note when it becomes due and payable; or

                 2.       An event of default occurs under and as defined in
(a) the Management Agreement between Fisher and Peak, as amended or modified
from time to time, which is caused by the acts or omissions of Fisher, or (b)
any credit or loan agreement entered into by Peak, which results in the
acceleration of monies owed by Peak pursuant to the terms of such credit or
loan agreement; or

                 3.       Fisher becomes insolvent or generally fails to pay,
or admits in writing its inability to pay, its debts as they become due; or
Fisher applies for, consents to, or acquiesces in, the appointment of a
trustee, receiver or other custodian for it or for its property or make a
general assignment for the benefit of creditors; or, in the absence of such
application, consent or acquiescence, a trustee, receiver or other custodian is
appointed for Fisher or for a substantial part of Fisher's property and is not
discharged within 60 days; or any bankruptcy, reorganization, debt arrangement,
or other case or proceeding under any bankruptcy or insolvency law, or any
dissolution or liquidation proceeding is commenced in respect of Fisher and
remains undismissed for 60 days; or any bankruptcy, reorganization, debt
arrangement, or other case or proceeding under any bankruptcy or insolvency
law, or any dissolution or liquidation proceeding is commenced in respect of
Fisher and is consented to or acquiesced in; or Fisher takes any corporate
action to authorize, or takes any corporate action in furtherance of, any of
the
<PAGE>   2
foregoing; or

                 4.       Upon the liquidation or dissolution of Peak pursuant
to the terms of the Amended and Restated Operating Agreement of Peak
Cablevision, LLC ("Operating Agreement") dated as of September 25, 1997 between
TCI American Cable Holdings III, L.P. and Fisher;

                 5.       Upon a sale of any of Fisher's Ownership Interests
(as defined in the Operating Agreement) in Peak.

                 If  Fisher fails to pay the Principal when due, interest will
accrue on the full amount of such payment at an annual rate of 22% (or if less,
the highest rate legally permitted), compounded annually.  In the event of any
action at law or suit in equity with respect to this Note, Fisher, in addition
to all other sums which it may be required to pay hereunder, will pay a
reasonable sum for attorneys' fees incurred by the holder hereof in connection
with such action or suit and all other costs of collection.

                 This Note will be governed by and construed in accordance with
the laws of the State of Colorado in all respects, including matters of
construction, validity and performance, will bind Fisher, its successors and
assigns, and will inure to the benefit of any holder hereof, its successors and
assigns.  Whenever possible each provision of this Note shall be interpreted in
such manner as to be effective and valid under applicable law, but if any
provision of this Note shall be prohibited by or invalid under applicable law,
such provision shall be ineffective to the extent of such prohibition or
invalidity, without invalidating the remainder of such provision or the
remaining provisions of this Note.

                 IN WITNESS WHEREOF, the undersigned has executed this Note as
of the date first written above.


                            FISHER COMMUNICATIONS ASSOCIATES, L.L.C.

                            By:  Fisher Capital Partners, Ltd., its member
                            By:  Fisher Capital Corporation, its general partner


                            By:      /s/ W. K. Fisher      
                                     -------------------------------------------
                            Title:   Vice President
<PAGE>   3
                                                                   EXHIBIT 10.83

                                PROMISSORY NOTE


$351,180
                                                                January 15, 1998

                 FOR VALUE RECEIVED, the undersigned, Fisher Communications
Associates, L.L.C. ("Fisher"), promises to pay TCI Cablevision of Utah, Inc.
(the "Payee") $351,180.  Any unpaid amounts due and owing hereunder shall be due
and payable on January 31, 2006.  Notwithstanding the foregoing, upon receipt of
any Distributions, Fisher shall immediately prepay this Note in an amount equal
to the lesser of (a) the outstanding principal amount and accrued interest, if
any, owing under this Note and (b) the amount of such Distributions. For
purposes of this Note, Distributions shall mean any and all cash distributions
related to Fisher's ownership interest in Peak Cablevision, LLC ("Peak") except
for those distributions made to Fisher to pay income tax liabilities related to
the taxable income of Peak's operations. Unless otherwise indicated herein,
this Note shall not bear interest.

                 Notwithstanding the due date of this Note or any other
provision hereof, this Note, the principal amount thereof and all other
obligations of Fisher hereunder will, at the option of Payee, immediately
become due and payable upon the occurrence of any of the following events:

                 1.       Fisher fails to pay promptly in full any amount due
under this Note when it becomes due and payable; or

                 2.       An event of default occurs under and as defined in
(a) the Management Agreement between Fisher and Peak, as amended or modified
from time to time, which is caused by the acts or omissions of Fisher, or (b)
any credit or loan agreement entered into by Peak, which results in the
acceleration of monies owed by Peak pursuant to the terms of such credit or
loan agreement; or

                 3.       Fisher becomes insolvent or generally fails to pay,
or admits in writing its inability to pay, its debts as they become due; or
Fisher applies for, consents to, or acquiesces in, the appointment of a
trustee, receiver or other custodian for it or for its property or make a
general assignment for the benefit of creditors; or, in the absence of such
application, consent or acquiescence, a trustee, receiver or other custodian is
appointed for Fisher or for a substantial part of Fisher's property and is not
discharged within 60 days; or any bankruptcy, reorganization, debt arrangement,
or other case or proceeding under any bankruptcy or insolvency law, or any
dissolution or liquidation proceeding is commenced in respect of Fisher and
remains undismissed for 60 days; or any bankruptcy, reorganization, debt
arrangement, or other case or proceeding under any bankruptcy or insolvency
law, or any dissolution or liquidation proceeding is commenced in respect of
Fisher and is consented to or acquiesced in; or Fisher takes any corporate
action to authorize, or takes any corporate action in furtherance of, any of
the
<PAGE>   4
foregoing; or

                 4.       Upon the liquidation or dissolution of Peak pursuant
to the terms of the Amended and Restated Operating Agreement of Peak
Cablevision, LLC ("Operating Agreement") dated as of September 25, 1997 between
TCI American Cable Holdings III, L.P. and Fisher;

                 5.       Upon a sale of any of Fisher's Ownership Interests
(as defined in the Operating Agreement) in Peak.

                 If  Fisher fails to pay the Principal when due, interest will
accrue on the full amount of such payment at an annual rate of 22% (or if less,
the highest rate legally permitted), compounded annually.  In the event of any
action at law or suit in equity with respect to this Note, Fisher, in addition
to all other sums which it may be required to pay hereunder, will pay a
reasonable sum for attorneys' fees incurred by the holder hereof in connection
with such action or suit and all other costs of collection.

                 This Note will be governed by and construed in accordance with
the laws of the State of Colorado in all respects, including matters of
construction, validity and performance, will bind Fisher, its successors and
assigns, and will inure to the benefit of any holder hereof, its successors and
assigns.  Whenever possible each provision of this Note shall be interpreted in
such manner as to be effective and valid under applicable law, but if any
provision of this Note shall be prohibited by or invalid under applicable law,
such provision shall be ineffective to the extent of such prohibition or
invalidity, without invalidating the remainder of such provision or the
remaining provisions of this Note.

                 IN WITNESS WHEREOF, the undersigned has executed this Note as
of the date first written above.


                            FISHER COMMUNICATIONS ASSOCIATES, L.L.C.

                            By:  Fisher Capital Partners, Ltd., its member
                            By:  Fisher Capital Corporation, its general partner


                            By:      /s/ W. K. Fisher              
                                     -------------------------------------------
                            Title:   Vice President