An administrative law judge ruled that Nigel Warren had broken a 2010 New York City law when he accepted about $600 from a Russian tourist to stay in his apartment for a few days while he was out of town. The law prohibits apartment owners from renting property for less than 30 days, and was intended to crack down on landlords who bought affordable housing units and then converted them to hotels to make more money. Mr Warren was fined $2,400.

Researchers noted a significant jump in Twitter use among teens in general, but found that 39 per cent of African-American teens used the microblogging site compared to 23 per cent of white teens.

Apple chief executive officer Tim Cook took the hot seat on Tuesday morning in Washington to answer questions about a tax planning strategy that has enabled it to avoid billions of dollars of taxes.

Carl Levin, chairman of the Senate investigations committee, set the tone with his opening remarks, noting that just in 2012, Apple had exploited tax loopholes allowing it to avoid $9bn in US taxes. Such practices, he said, did “real harm” to the US economy, disadvantaging domestic companies that don’t make use of “tax gimmicks”.

You can watch the hearing here, read Mr Cook's written testimony here and read the Senate committee's report on Apple's tax structure here.

But in solving that problem, Tumblr may have created another for Yahoo. Ad execs and Wall Street analysts alike are voicing concerns about – along with gifs and memes – one of Tumblr’s most popular types of content: pornography.

The company’s Zact service – a play on the word ‘exact’ – operates as a cloud-based mobile virtual network operator, buying capacity on Sprint Nextel’s 4G/LTE network and reselling it to its own customers via a smartphone app or web page.

Under the four-year deal, Splashpath will take on Speedo’s branding but remain the property of Dan Morgan, who founded the company after becoming frustrated that, despite there being myriad mobile apps for runners, there wasn’t one for swimmers.

By showing that it is prepared to play by the music industry’s rules with its new All Access subscription service, Google has won itself new friends among the music labels.

The main questions now: Can it overcome a patchy past track record in the music business, take advantage of its early lead in subscriptions over Apple and show that it can carve an audience of paying punters out of its massive user base?

But another start-up argues that there can be no definite answer once the process of image manipulation has started. Instead Scoopshot’s app transfers photos taken by users immediately to its platform, allowing it to guarantee that the photos that editors received are actually what the camera took.