The ministers who were appointed to the Republics of Colombia and Buenos Ayres during the last session of Congress proceeded shortly afterwards to their destinations.  Of their arrival there official intelligence has not yet been received.  The minister appointed to the Republic of Chile will sail in a few days.  An early appointment will also be made to Mexico.  A minister has been received from Colombia, and the other Governments have been informed that ministers, or diplomatic agents of inferior grade, would be received from each, accordingly as they might prefer the one or the other.

The minister appointed to Spain proceeded soon after his appointment for Cadiz, the residence of the Sovereign to whom he was accredited.  In approaching that port the frigate which conveyed him was warned off by the commander of the French squadron by which it was blockaded and not permitted to enter, although apprised by the captain of the frigate of the public character of the person whom he had on board, the landing of whom was the sole object of his proposed entry.  This act, being considered an infringement of the rights of ambassadors and of nations, will form a just cause of complaint to the Government of France against the officer by whom it was committed.

The actual condition of the public finances more than realizes the favorable anticipations that were entertained of it at the opening of the last session of Congress.  On the 1st of January there was a balance in the Treasury of $4,237,427.55.  From that time to the 30th September the receipts amounted to upward of $16,100,000, and the expenditures to $11,400,000.  During the fourth quarter of the year it is estimated that the receipts will at least equal the expenditures, and that there will remain in the Treasury on the 1st day of January next a surplus of nearly $9,000,000.

On the 1st of January, 1825, a large amount of the war debt and a part of the Revolutionary debt become redeemable.  Additional portions of the former will continue to become redeemable annually until the year 1835.  It is believed, however, that if the United States remain at peace the whole of that debt may be redeemed by the ordinary revenue of those years during that period under the provision of the act of March 3, 1817, creating the sinking fund, and in that case the only part of the debt that will remain after the year 1835 will be the $7,000,000 of 5 per cent stock subscribed to the Bank of the United States, and the 3 per cent Revolutionary debt, amounting to $13,296,099.06, both of which are redeemable at the pleasure of the Government.

The state of the Army in its organization and discipline has been gradually improving for several years, and has now attained a high degree of perfection.  The military disbursements have been regularly made and the accounts regularly and promptly rendered for settlement.  The supplies of various descriptions have been of good quality, and regularly issued at all of the posts.  A system of economy and accountability has been introduced into every branch of the service which admits of little additional improvement.  This desirable state has been attained by the act reorganizing the staff of the Army, passed on the 14th of April, 1818.