Notice that it says AFTER the 69th week. Not before, or on the last day of the 69th week, but after it is over, which puts His being "cut off" as taking  place during the 70th week.

Some believe that the final 70th week is left till the end days, but Jesus already used a portion of it because He was cut off during the 70th week.

The first "seven sevens" a sabbatical week equals 49 years. This is the amount in a Jubilee year.
Then 434 more years remain until Messiah comes. That is a total of 69 of the 70 weeks.
 

When was the Decree given?

It is known that the first 7 weeks (49 years) begins with a decree to "restore and to build Jerusalem."Notice that this refers to the whole city of Jerusalem, not just the Temple, which was an earlier decree given by Cyrus the Great.

The rebuilding would include, "the street shall be built again, and the moat/wall, even in troublous times" and this didn't happen until the return of Ezra followed by Nehemiah who built the walls. History shows us that the decree of Cyrus did not result in the city being rebuilt. Neither did the decree of Darius, only the Temple building was completed under that first decree.

The decree of Artaxerxes in 457 BC did exactly that. (Hebrew year 3305)

NOTE: There is no reason to convert the 490 years to 365.25 days per year because the Jewish calendar contains an extra month of Adar added three  years, and over given period of time of 19 years the days will be the same as in the Georgian calendar. The Jewish year doesn't add up to 360 days per year because the calendar is set from new moon to new moon.  See bottom of page for an example.

When Jesus began His ministry, the people were in expectation of the coming of the Messiah at that time.
 

Jesus tells us that "the time has been fulfilled"

John the Baptist began his ministry in the fifteenth year of the reign of Tiberius Caesar (Luke 3: 1-3)when Jesus had begun to be about 30 years old at His Baptism.
This means it was 27 AD when Jesus was baptized.

.Tiberius Caesar reigned for two years before his formal coronation. So he began to reign in 12 AD.
 

 
Quote; Luke 3:1 reads "...in year but five and tenth of the governorship of Tiberius Caesar" [emphasis added].
In the year 12 AD, Tiberius was made military governor (commander) over Caesar's vast armies and provinces by the ailing Augustus, at which time Augustus had compelled his estranged- widow Julia to marry Tiberius, thus historically qualifies as his 1st year of governorship. Ancient coins from Antioch dated AUC 765[12 AD] display the head of Tiberius with the inscription: 'Kaisar Sebastos' [Caesar Augustus]. An ancient document written by the Roman senator Dion Cassius recounts major events of 12 AD in which he noted: "Augustus, because he was growing old, wrote a letter commending Germanicus to the senate and the latter [the senate] to Tiberius" [ref. LVI.26]. No later than 13 AD, Tiberius Claudius Nero was already known to the whole of the Roman empire and its provinces as supreme military governor and co-regent with Augustus, since Tiberius was by that time Proconsular Imperium, wielding full tribunician power wholly co-extensive with that of Augustus, making Tiberius co-princeps with Augustus from 12-13 AD until Augustus' death. Thus we see, fully two years before Augustus had died, Tiberius' sole Consulship was already fully intact, and was wholly unassailable, with his *continuation* as Principate merely a foregone conclusion. Tiberius' inauguration as Imperator was little more than a formality, and Luke's reckoning for his 15th year is further confirmed by the fact that by 27 AD, a much-wearied Tiberius had retired permanently to seclusion on the island of Capri, leaving his notorious and traitorous captain of the Praetorian Guard, the prefect Sejanus, to rule in his place (but not in his stead, as the annals of history attest). End quote.-Min's Historical Calendar Of Jesus - Chapter 7 by Dr. Min

Who are the people of the Prince that shall destroy the Temple?
 

The 70th week
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He is the Messiah the prince.
Not Titus, the other prince in this prophecy, and not some future antichrist.

You need to ask yourself what Jesus did while He was on earth.
Did He confirm (a word that means to STRENGTHEN) His covenant? YES. During the 3 1/2 years of His ministery

During the time of Jesus on earth did He cause the Jewish sacrifices to cease? YES. Their relivence to God they are no longer accepted.

The word here in Hebrew was "shabath"  the tense is (Hiphil)
1) to cause to cease, put an end to
2) to exterminate, destroy
3) to cause to desist from
4) to remove
5) to cause to fail

He replaced them with His own blood. He became the LAST sacrifice needed for sin. Now some would argue that the Jewish sacrifices continued for the next 40 years until the Temple was destroyed, and so He didn't cause them to cease with His sacrifice. But in the spiritual realm, where it counts, He did. God no longer recognized the blood sacrifices of the Jews from that day forth. He did truely cause the sacrifices in the Temple to fail. To loose their reason for being done.

Jesus took the place of not only the temple sacrifices.

Heb 9:11 But Christ came as High Priest of the good things to come, [a] with the greater and more perfect tabernacle not made with hands, that is, not of this creation. 12 Not with the blood of goats and calves, but with His own blood He entered the Most Holy Place once for all, having obtained eternal redemption.

Jesus said that the temple would be torn down, not one stone left upon another, but that He would raise it up in 3 days. This, of course, means that at His resurrection Jesus would become the Temple of God. It didn't mater that the earthly Jewish temple of God remained standing for another 40 years. Just as it didn't mater that the sacrifices continued for that amount of time. Jesus had caused them to fail, becoming null and void in the eyes of God. Jesus had replaced them.
 

Remember it was Daniel's people, the Jews, that were given only 70 weeks, not the whole world. For Daniel's people, accepting Jesus would put an end to national sin, atone for wickedness, bring everlasting righteousness, seal up this prophecy, and anoint the most Holy. All they had to do was accept the Anointed One. All of these things would be accomplished through the Messiah for the nation.

For any Jewish person that accepts Jesus now, they are under His grace. He has put an end to believers sins through His blood. He has atoned for their wickedness before the throne. He has for them everlasting righteousness.
 

What would be the result of their rejection of Him?
They rejected Him and the covenant He offered. So a prince would come and make their Holy Place and Holy City desolate.
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"pterygion"
1) a wing, a little wing
2) any pointed extremity
a) of fins of fishes
b) of part of a dress hanging down in the form of a wing
c) of the top of the temple at Jerusalem

Mat 4:5  Then the devil taketh him up into the holy city, and setteth him on a pinnacle(or a wing) of the temple,
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So what this verse in Daniel is saying is that at the pinnacle  of abominations,  one will come and make it desolate until a complete destruction. Which is a reference to the previous verse that speaks of the complete destruction of the Temple and the Holy city at the hand of the people of the prince who would come.  This took place in 70 AD.

See history of these abominations and the Abomination of Desolation standing where he ought not.  As told by Josephus, a Jewish historian alive during that time in history.

After His death and resurrection the nation of Israel did not repent, and because of this their abominations reached its pinnacle, their highest point. So the Lord allowed it to be made desolate (Temple and city) using the people of the "prince that was to come", Titus and the Roman army.

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Is the last half of the 70th week still left to be completed at some time in our future?

The time limit put on Israel to believe was 70 weeks and they did not believe as a nation of people by the end of said 70 weeks. The offer was withdrawn at the end and given over to the gentile nations. Israel was blinded in part because they did not partake. After His death and resurrection they did not recognize His sacrifice.

They had been the "prepared" people. The "chosen people" chosen to be the light that God used to shine the knowledge of Him out into the nations. The people who had received direct revelation and understanding of God through His prophets. The prophets that spoke the promises of God to send a Messiah that would bring salvation. They were the "first".   But because they rejected their salvation by not believing and partaking, then at the end of the 70 weeks the first became last and the last (gentiles) became first. In other words the gentiles would become the chosen ones to be the light of the gospel of His Son to shine out to all the world the truth of God.

And those that had been first "chosen" would now walk in blindness as a nation of people (a nation not defined by the land, but defined by the old covenant of which they still clung to). That does not mean that individual Jewish people can't begin to believe at any time.

But the nation will get a second chance in the end days. They will now be last. Last to receive and partake in the New Covenant. But they will partake. That is the promise made by God and He will fulfill all His promises made with them, not for their sake but for His own. Messiah will return and they will see Him that they pierced. He will come in a way that they won't be able to deny Him any longer. Coming in view of the whole world descending out from heaven. They will deeply morn what they had denied. And they will believe and become partakers and for the nation of Israel they will have salvation... finally.

Not within the 70 weeks, for that time ended, as the calendar was flipped to the next day. Yesterday is past and cannot be revisited. But the promise to the nation of Israel that they would receive salvation is a forever promise and will be completed on another day far in the future from that time. Because the word "last" still holds a promise, in that the last will still get to participate.

In Isaiah 37:30, the word of the Lord to king Hezekiah is:
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Compare that with:
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This is the land's seventh-year sabbath.

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In Isaiah 37:30, the word of the Lord described two consecutive years in which the people were not to plant and harvest but were to eat what grew by itself--the 49th and 50th years of the jubilee cycle.

It appears God has a time table consisting of cycles of 490 years. From the Exodus to the time Solomon dedicated the Temple of God was 490 years. From the Dedication to the time of the Decree issued to Ezra, also 490 years. From Ezra till the completion of the Seventy Sevens prophecy given to Daniel, concerning the Messiah, another 490 years.