Document:

Exhibit 10.5

MOTOR CITY ACQUISITION CORP.

44225 Utica Road

Utica, Michigan 48317

 

, 2021

 

Motor City Acquisition Corp.

44225 Utica Road

Utica, Michigan 48317

  

Re: Administrative Support
Agreement

 

Ladies and Gentlemen:

 

This letter agreement by and
between Motor City Acquisition Corp. (the “Company”) and WSMC Holdings LLC (“Sponsor”),
dated as of the date hereof, will confirm our agreement that, commencing on the date the Registration Statement on Form S-1 and prospectus
filed with the U.S. Securities and Exchange Commission (File No. 333-253842) (the “Registration Statement”)
is declared effective (the “Effective Date”) and continuing until the earlier of the consummation by the Company
of an initial business combination or the Company’s liquidation (in each case as described in the Registration Statement) (such
earlier date hereinafter referred to as the “Termination Date”):

 

(i) Sponsor shall make available,
or cause to be made available, to the Company, at 44225 Utica Road Utica, Michigan 48317 (or any successor location of Sponsor), certain
office space, utilities and secretarial and administrative support as may be reasonably required by the Company. In exchange therefor,
the Company shall pay Sponsor the sum of $10,000 per month beginning on the Effective Date and continuing monthly thereafter until the
Termination Date; and

 

(ii) Sponsor hereby irrevocably
waives any and all right, title, interest, causes of action and claims of any kind as a result of, or arising out of, this letter agreement
(each, a “Claim”) in or to, and any and all right to seek payment of any amounts due to it out of the trust
account established for the benefit of the public stockholders of the Company and into which substantially all of the proceeds of the
Company’s initial public offering will be deposited (the “Trust Account”) as a result of, or arising out
of, this letter agreement, and hereby irrevocably waives any Claim it may have in the future, which Claim would reduce, encumber or otherwise
adversely affect the Trust Account or any monies or other assets in the Trust Account, and further agrees not to seek recourse, reimbursement,
payment or satisfaction of any Claim against the Trust Account or any monies or other assets in the Trust Account for any reason whatsoever.

 

This letter agreement constitutes
the entire agreement and understanding of the parties hereto in respect of its subject matter and supersedes all prior understandings,
agreements, or representations by or among the parties hereto, written or oral, to the extent they relate in any way to the subject matter
hereof or the transactions contemplated hereby.

 

    

     

    

 

This letter agreement may not
be amended, modified or waived as to any particular provision, except by a written instrument executed by the parties hereto.

 

No party hereto may assign either
this letter agreement or any of its rights, interests, or obligations hereunder without the prior written approval of the other party.
Any purported assignment in violation of this paragraph shall be void and ineffectual and shall not operate to transfer or assign any
interest or title to the purported assignee.

 

This letter agreement constitutes
the entire relationship of the parties hereto, and any litigation between the parties (whether grounded in contract, tort, statute, law
or equity) shall be governed by, construed in accordance with, and interpreted pursuant to the laws of the State of New York, without
giving effect to its choice of law principles.

 

[Signature Page Follows]

 

    2

     

    

 

	 	Very truly yours,

 

	 	MOTOR CITY ACQUISITION CORP.

 

	 	By:	 
	 	 	Name:	Robert L. Wagman
	 	 	Title:	Chief Executive Officer

 

	AGREED TO AND ACCEPTED BY:	 
	 	 	 
	WSMC HOLDINGS LLC	 
	 	 	 
	By:	 	 
	 	Name:	Eric S. Singer	 
	 	Title:	MemberExhibit 10.8

 

	 	[               ], 2021

 

Motor City Acquisition Corp.

44225 Utica Road

Utica, Michigan 48317

Attention: Eric S. Singer

 

Re: Initial Public
Offering  

 

Ladies and Gentlemen:

 

This letter agreement is being delivered to you in
accordance with the Underwriting Agreement (the “Underwriting Agreement”) entered into by and between Motor City Acquisition
Corp., a Delaware corporation (the “Company”) and Deutsche Bank Securities Inc. and Morgan Stanley & Co, LLC, as representatives
(the “Representatives”) of the several underwriters named in Schedule I thereto (the “Underwriters”), relating
to an underwritten initial public offering (the “IPO”) of up to 28,750,000 the Company’s units (including up to 3,750,000
units that may be purchased to cover over-allotments, if any) (the “Units”), each unit comprised of one share of Class A common
stock of the Company, par value $0.0001 per share (the “Class A Common Stock”), and one-fourth of one redeemable warrant,
each whole warrant exercisable for one share of Class A Common Stock (each, a “Warrant”). Certain capitalized terms used herein
are defined in paragraph 9 hereof.

 

In order to induce the Company and the Underwriters
to enter into the Underwriting Agreement and to proceed with the IPO, and for other good and valuable consideration, the receipt and sufficiency
of which are hereby acknowledged, each of WSMC Holdings LLC, a Delaware limited liability company (the “Sponsor”), and the
undersigned individuals, each of whom is a member of the Company’s board of directors, a nominee for membership on the board of
directors and/or a member of the Company’s management team (each, an “Insider” and collectively, the “Insiders”),
hereby agree with the Company as follows:

 

1.       If the
Company solicits approval of its shareholders of a Business Combination, the Sponsor and each Insider will vote all shares of Capital
Stock beneficially owned by it, whether acquired before, in or after the IPO, in favor of such Business Combination. It is acknowledged
and agreed that the Company shall not enter into a definitive agreement regarding a proposed Business Combination without the prior consent
of the Sponsor.

 

2.       In the
event that the Company fails to consummate a Business Combination within the time period set forth in the Company’s Amended and
Restated Certificate of Incorporation, as the same may be amended from time to time (the “Charter”), the Sponsor and each
Insider will, as promptly as possible, take all necessary actions to cause the Company to (i) cease all operations except for the purpose
of winding up, (ii) as promptly as reasonably possible, but not more than 10 business days thereafter, subject to lawfully available fund
therefor, redeem the IPO Shares, at a per-share price, payable in cash, equal to the aggregate amount then on deposit in the Trust Account,
including interest earned on the Trust Account not previously released to the Company (less taxes payable and up to $100,000 of such net
interest to pay dissolution expenses), divided by the number of then outstanding IPO Shares, which redemption will completely extinguish
public stockholders’ rights as stockholders (including the right to receive further liquidation distributions, if any), and (iii)
as promptly as reasonably possible following such redemption, subject to the approval of the Company’s remaining stockholders and
the Company’s board of directors, dissolve and liquidate, subject in the cases of clauses (ii) and (iii) to the Company’s
obligations under Delaware law to provide for claims of creditors and other requirements of applicable law. The Sponsor and each Insider
hereby waives any and all right, title, interest or claim of any kind in or to any distribution of the Trust Account and any remaining
net assets of the Company as a result of such liquidation with respect to the Founder Shares owned by the Sponsor and such Insider. However,
if the Sponsor or an Insider has acquired IPO Shares in or after the IPO, it, he or she will be entitled to liquidating distributions
from the Trust Account with respect to such IPO Shares in the event that the Company fails to consummate a Business Combination within
the time period set forth in the Charter.

 

    

     

    

 

In the event of the liquidation of the Trust Account,
the Sponsor agrees that it will be liable to the Company if and to the extent any claims by a third party (other than the Company’s
independent registered public accounting firm) for services rendered or products sold to the Company, or a prospective target business
with which the Company has discussed entering into a transaction agreement, reduce the amount of funds in the Trust Account to below the
lesser of (i) $10.00 per public share and (ii) the actual amount per public share held in the Trust Account as of the date of the liquidation
of the Trust Account, if less than $10.00 per share due to reductions in the value of the assets in the Trust Account, less taxes payable;
provided that such liability will not apply to any claims by a third party or prospective target business who executed a waiver of any
and all rights to the monies held in the Trust Account (whether or not such waiver is enforceable) nor will it apply to any claims under
the Company’s obligation to indemnify the Underwriters against certain liabilities, including liabilities under the Securities Act
of 1933, as amended, pursuant to the Underwriting Agreement. The Sponsor and each Insider acknowledges and agrees that there will be no
distribution from the Trust Account with respect to any Warrants, all rights of which will terminate on the Company’s liquidation.

 

3.        The
Sponsor and each Insider acknowledges and agrees that prior to entering into a definitive agreement for a Business Combination with a
target business that is affiliated with the Sponsor or any Insiders of the Company or their affiliates, such transaction must be approved
by a majority of the Company’s disinterested independent directors and the Company must obtain an opinion from an independent investment
banking firm or an independent valuation or accounting firm that such Business Combination is fair to the Company’s unaffiliated
shareholders from a financial point of view.

 

4.        None
of the Sponsor, each Insider or their affiliates will be entitled to receive and will not accept any compensation or other cash payment
prior to, or for services rendered in order to effectuate, the consummation of the Business Combination; provided that the Company shall
be allowed to make the payments set forth in the Registration Statement adjacent to the caption “Prospectus Summary—The Offering—
Limited payments to insiders.”

 

5.        (a)
The Sponsor and each Insider agrees that any Founder Shares held by it, him or her may not be transferred, assigned or sold (except to
certain permitted transferees as described in the Registration Statement and herein) (the “Lockup”) until the earlier to occur
of: (1) one year after the completion of a Business Combination or (2) the date on which the Company completes a liquidation, merger,
share exchange or other similar transaction that results in all of its shareholders having the right to exchange their shares of Class
A Common Stock for cash, securities or other property. Notwithstanding the foregoing, if the closing price of the Company’s shares
of Class A Common Stock equals or exceeds $12.00 per share (as adjusted for share splits, share capitalizations, reorganizations, recapitalizations
and the like) for any 20 trading days within any 30-trading day period commencing at least 150 days after the Company’s initial
Business Combination, the Founder Shares will be released from the Lockup.

 

(b) The Sponsor and each Insider
will not, without the prior written consent of the Representatives pursuant to the Underwriting Agreement, offer, sell, contract to sell,
pledge, hedge or otherwise dispose of (or enter into any transaction that is designed to, or might reasonably be expected to, result in
the disposition (whether by actual disposition or effective economic disposition due to cash settlement or otherwise) by the undersigned
or any affiliate of the undersigned or any person in privity with the undersigned or any affiliate of the undersigned), directly or indirectly,
including the filing (or participation in the filing) of a registration statement with the Securities and Exchange Commission in respect
of, or establish or increase a put equivalent position or liquidate or decrease a call equivalent position within the meaning of Section
16 of the Securities Exchange Act of 1934, as amended, and the rules and regulations of the Securities and Exchange Commission promulgated
thereunder with respect to, any other Units, shares of Class A Common Stock, Warrants of the Company or any securities convertible into,
or exercisable, or exchangeable for, shares of Class A Common Stock or publicly announce an intention to effect any such transaction,
for a period of 180 days after the date of the Underwriting Agreement.

 

(c) The Sponsor and each Insider
agrees that until the Company consummates an initial Business Combination, the Private Placement Warrants held by the Sponsor and each
Insider will be subject to the transfer restrictions described in the Private Placement Warrants Purchase Agreement relating to the undersigned’s
Private Placement Warrants.

 

    

     

    

 

(d) Notwithstanding the
provisions set forth in paragraph 5(a) and 5(c), transfers, assignments and sales of the Founder Shares, Private Placement Warrants
and Class A Common Stock issuable upon conversion of the Founder Shares or exercise of the Private Placement Warrants, as applicable
are permitted (i) to the Company’s officers or directors, any affiliates or family members of any of the Company’s
officers or directors, any members or partners of the Sponsor, any affiliates of the Sponsor, or any employees of such affiliates;
(ii) in the case of an individual, by bona fide gift to a member of the individual’s immediate family or to a trust, the
beneficiary of which is a member of one of the individual’s immediate family, an affiliate of such person or to a charitable
organization for estate planning purposes; (iii) in the case of an individual, by virtue of laws of descent and distribution upon death of the individual; (iv)
in the case of an individual, pursuant to a qualified domestic relations order; (v) by private sales or transfers made in connection
with the Business Combination at prices no greater than the price at which the Founder Shares, Private Placement Warrants or Class A
Common Stock were originally purchased; (vi) by virtue of the Sponsor’s organizational documents upon liquidation or
dissolution of the undersigned; (vii) to the Company for no value for cancellation in connection with the consummation of a Business
Combination; (viii) in the event of the Company’s liquidation prior to the completion of a Business Combination; or (ix) in
the event of completion of a liquidation, merger, share exchange or other similar transaction which results in all of the
Company’s shareholders having the right to exchange their shares of Class A Common Stock for cash, securities or other
property subsequent to the completion of a Business Combination; provided, however, that in the case of clauses (i) through (vi)
these permitted transferees must enter into a written agreement agreeing to be bound by these transfer restrictions.

 

The Sponsor and each Insider
acknowledges and agrees that if, in order to consummate any Business Combination, the holders of Founder Shares or Private Placement Warrants
are required to contribute back to the capital of the Company a portion of any such securities to be cancelled by the Company or transfer
any such securities to third parties, the Sponsor and each Insider will contribute back to the capital of the Company or transfer to such
third parties, at no cost, a proportionate number of Founder Shares or Private Placement Warrants, as applicable, pro rata with the other
holders of Founder Shares or Private Placement Warrants, as applicable.

 

6.       The Sponsor
and each Insider has full right and power, without violating any agreement by which it, he or she is bound, to enter into this letter
agreement.

 

7.       The Sponsor
and each Insider hereby waives any right to exercise redemption rights with respect to any of the Company’s Class A Common Stock
owned now or in the future by the Sponsor and each Insider, directly or indirectly and agrees not to seek redemption with respect to such
shares (or sell such shares to the Company in any tender offer) in connection with any vote to approve a Business Combination, including,
without limitation, any such rights available in the context of a stockholder vote to approve such Business Combination or a stockholder
vote to approve an amendment to the Charter (i) that would modify the substance or timing of the Company’s obligation to provide
holders of the IPO Shares the right to have their shares redeemed in connection with an initial Business Combination or to redeem 100%
of the IPO Shares if the Company has not consummated an initial Business Combination within the time period set forth in the Charter or
(ii) with respect to any provision relating to the rights of holders of IPO Shares (although the Sponsor and the Insiders shall be entitled
to liquidation rights with respect to any IPO Shares they hold if the Company fails to consummate a Business Combination within the required
time period set forth in the Charter).

 

8.       This
letter agreement shall be governed by and construed and enforced in accordance with the laws of the State of New York, without giving
effect to conflicts of law principles that would result in the application of the substantive laws of another jurisdiction. Each of the
undersigned hereby (i) agrees that any action, proceeding or claim against him arising out of or relating in any way to this letter agreement
shall be brought and enforced in the courts of the State of New York of the United States of America for the Southern District of New
York, and irrevocably submits to such jurisdiction, which jurisdiction shall be exclusive and (ii) waives any objection to such exclusive
jurisdiction and that such courts represent an inconvenient forum.

 

9.       As used
herein, (i) a “Business Combination” shall mean a merger, share exchange, asset acquisition, stock purchase, recapitalization,
reorganization or other similar business combination with one or more businesses or entities; (ii) “Capital Stock” shall mean
the Class A Common Stock and the Founder Shares; (iii) “Founder Shares” shall mean all of the shares of Class B Common Stock
of the Company acquired by the Sponsor or an Insider prior to the IPO, and the shares of Class A Common Stock issuable upon the conversion
of such shares of Class B Common Stock; (iv) “IPO Shares” shall mean the shares of Class A Common Stock issued in the Company’s
IPO;

 

    

     

    

 

(v) “Private Placement Warrants” shall
mean the warrants that are being sold privately by the Company simultaneously with the consummation of the IPO; (vi) “Trust Account”
shall mean the trust account into which a portion of the net proceeds of the Company’s IPO and sale of the Private Placement Warrants
will be deposited; and (vii) “Registration Statement” means the Company’s registration statement on Form S-1 (SEC File
No. 333-253842) filed with the Securities and Exchange Commission.

 

10.       This
letter agreement constitutes the entire agreement and understanding of the parties hereto in respect of the subject matter hereof and
supersedes all prior understandings, agreements, or representations by or among the parties hereto, written or oral, to the extent they
relate in any way to the subject matter hereof or the transactions contemplated hereby. This letter agreement may not be changed, amended,
modified or waived (other than to correct a typographical error) as to any particular provision, except by a written instrument executed
by all parties hereto.

 

11.       The
undersigned acknowledges and understands that the Underwriters and the Company will rely upon the agreements, representations and warranties
set forth herein in proceeding with the IPO. Nothing contained herein shall be deemed to render the Underwriters a representative of,
or a fiduciary with respect to, the Company, its shareholders or any creditor or vendor of the Company with respect to the subject matter
hereof.

 

12.       This
letter agreement may be signed in counterparts (which may include counterparts delivered by any standard form of telecommunication), each
of which shall be an original and all of which together shall constitute one and the same instrument. The words “execution,”
 “signed,” “signature,” and words of like import in this letter agreement or in any other certificate, agreement
or document related to this letter agreement, if any, shall include images of manually executed signatures transmitted by facsimile or
other electronic format (including, without limitation, “pdf,” “tif” or “jpg”) and other electronic
signatures (including, without limitation, DocuSign and AdobeSign). The use of electronic signatures and electronic records (including,
without limitation, any contract or other record created, generated, sent, communicated, received, or stored by electronic means) shall
be of the same legal effect, validity and enforceability as a manually executed signature or use of a paper-based record-keeping system
to the fullest extent permitted by applicable law, including the Federal Electronic Signatures in Global and National Commerce Act, the
New York State Electronic Signatures and Records Act and any other applicable law, including, without limitation, any state law based
on the Uniform Electronic Transactions Act or the Uniform Commercial Code.

 

13.       This
letter agreement shall be binding on the undersigned and such person’s successors, heirs, personal representatives and assigns.
This letter agreement shall terminate on the earlier of (i) the consummation of a Business Combination and (ii) the liquidation of the
Company; provided, that such termination shall not relieve the undersigned from liability for any breach of this letter agreement prior
to its termination.

  

[Signature Page Follows]

 

    

     

    

 

	 	Very truly yours,
	 	 
	 	WSMC HOLDINGS LLC
	 	 
	 	By:	 
	 	 	Name:	Eric S. Singer
	 	 	Title:	Member
	 	 
	 	By:	 
	 	 	Name:	Larry Morgan
	 	 	Title:	Director
	 	 
	 	By:	 
	 	 	Name:	Terri Chapman
	 	 	Title:	Director
	 	 
	 	By:	 
	 	 	Name:	Jeremy Anspach
	 	 	Title:	Director
	 	 
	 	By:	 
	 	 	Name:	William Giles
	 	 	Title:	Director

  

	AGREED TO AND ACCEPTED BY:	 
	 	 
	MOTOR CITY ACQUISITION CORP.	 
	 	 
	By:	 	 
	 	Name:	Robert L. Wagman	 
	 	Title:	Chief Executive Officer

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