SEC Contract Filing

Filing Date: 2021-10-01

Document Content:
<DOCUMENT>
<TYPE>EX-10.4
<SEQUENCE>8
<FILENAME>ea148279ex10-4_hennessycap6.htm
<DESCRIPTION>ADMINISTRATIVE SUPPORT AGREEMENT, DATED SEPTEMBER 28, 2021, BY AND BETWEEN THE COMPANY AND HENNESSY CAPITAL GROUP LLC
<TEXT>
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<P STYLE="font: 10pt Times New Roman, Times, Serif; margin: 0pt 0; text-align: right"><B>Exhibit 10.4</B></P>

<P STYLE="margin: 0pt 0">&nbsp;</P>

<P STYLE="font: 10pt Times New Roman, Times, Serif; margin: 0pt 0; text-align: center"><B>HENNESSY CAPITAL INVESTMENT CORP. VI</B></P>

<P STYLE="font: 10pt Times New Roman, Times, Serif; margin: 0pt 0; text-align: center"><B>3415 N. Pines Way, Suite 204</B></P>

<P STYLE="font: 10pt Times New Roman, Times, Serif; margin: 0pt 0; text-align: center"><B>Wilson, Wyoming 83014</B></P>

<P STYLE="font: 10pt Times New Roman, Times, Serif; margin: 0pt 0; text-align: center">&nbsp;</P>

<P STYLE="font: 10pt Times New Roman, Times, Serif; margin: 0pt 0; text-align: right">September 28, 2021</P>

<P STYLE="font: 10pt Times New Roman, Times, Serif; margin: 0pt 0; text-align: center">&nbsp;</P>

<P STYLE="font: 10pt Times New Roman, Times, Serif; margin: 0pt 0">Hennessy Capital Group LLC</P>

<P STYLE="font: 10pt Times New Roman, Times, Serif; margin: 0pt 0">3415 N. Pines Way, Suite 204</P>

<P STYLE="font: 10pt Times New Roman, Times, Serif; margin: 0pt 0">Wilson, Wyoming 83014</P>

<P STYLE="font: 10pt Times New Roman, Times, Serif; margin: 0pt 0; text-indent: 24.5pt">&nbsp;</P>

<P STYLE="font: 10pt Times New Roman, Times, Serif; margin: 0pt 0; text-indent: 0.5in"><B>Re:&nbsp;Administrative Support Agreement</B></P>

<P STYLE="font: 10pt Times New Roman, Times, Serif; margin: 0pt 0">&nbsp;</P>

<P STYLE="font: 10pt Times New Roman, Times, Serif; margin: 0pt 0">Ladies and Gentlemen:</P>

<P STYLE="font: 10pt Times New Roman, Times, Serif; margin: 0pt 0; text-indent: 0.5in">&nbsp;</P>

<P STYLE="font: 10pt Times New Roman, Times, Serif; margin: 0pt 0; text-align: justify; text-indent: 0.5in">This letter agreement by and
between Hennessy Capital Investment Corp. VI (the &ldquo;<B>Company</B>&rdquo;) and Hennessy Capital Group LLC (&ldquo;<B>Hennessy Capital</B>&rdquo;),
dated as of the date hereof, will confirm our agreement that, commencing on the date the securities of the Company are first listed on
The Nasdaq Global Market (the &ldquo;<B>Listing Date</B>&rdquo;), pursuant to a Registration Statement on Form&nbsp;S-1 and prospectus
filed with the U.S. Securities and Exchange Commission (the &ldquo;<B>Registration Statement</B>&rdquo;) and continuing until the earlier
of the consummation by the Company of an initial business combination or the Company&rsquo;s liquidation (in each case as described in
the Registration Statement) (such earlier date hereinafter referred to as the &ldquo;<B>Termination Date</B>&rdquo;):</P>

<P STYLE="font: 10pt Times New Roman, Times, Serif; margin: 0pt 0; text-align: justify; text-indent: 0.5in">&nbsp;</P>

<P STYLE="font: 10pt Times New Roman, Times, Serif; margin: 0pt 0; text-align: justify; text-indent: 0.5in">(i) Hennessy Capital shall
make available, or cause to be made available, to the Company, at 3415 N. Pines Way, Suite 204, Wilson, Wyoming 83014 (or any successor
location of Hennessy Capital), certain office space, utilities and secretarial and administrative support as may be reasonably required
by the Company. In exchange therefor, the Company shall pay Hennessy Capital the sum of $15,000 per month on the Listing Date and continuing
monthly thereafter until the Termination Date; and</P>

<P STYLE="font: 10pt Times New Roman, Times, Serif; margin: 0pt 0; text-align: justify; text-indent: 0.5in">&nbsp;</P>

<P STYLE="font: 10pt Times New Roman, Times, Serif; margin: 0pt 0; text-align: justify; text-indent: 0.5in">(ii)&nbsp;Hennessy Capital
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 &ldquo;<B>Claim</B>&rdquo;) 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&rsquo;s initial public offering will be deposited (the &ldquo;<B>Trust Account</B>&rdquo;) 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.</P>

<P STYLE="font: 10pt Times New Roman, Times, Serif; margin: 0pt 0; text-align: justify; text-indent: 0.5in">&nbsp;</P>

<P STYLE="font: 10pt Times New Roman, Times, Serif; margin: 0pt 0; text-align: justify; text-indent: 0.5in">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.</P>

<P STYLE="font: 10pt Times New Roman, Times, Serif; margin: 0pt 0; text-align: justify; text-indent: 0.5in">&nbsp;</P>

<P STYLE="font: 10pt Times New Roman, Times, Serif; margin: 0pt 0; text-align: justify; text-indent: 0.5in">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.</P>

<P STYLE="font: 10pt Times New Roman, Times, Serif; margin: 0pt 0; text-align: justify; text-indent: 0.5in">&nbsp;</P>

<P STYLE="font: 10pt Time