What word is pronounced the same if you take away four of its five letters?

A wealthy man lives alone in a small cottage. Being partially handicapped he had everything delivered to his cottage. The mailman was delivering a letter one Thursday when he noticed that the front door was ajar. Through the opening he could see the man's body lying in a pool of dried blood. When a police officer arrived he surveyed the scene. On the porch were two bottles of warm milk, Monday's newspaper, a catalog, flyers, and unopened mail. The police officer suspects it was foul play. Who does he suspect and why?

There's a day, that comes around once a year.
To celebrate the man, you hold dear.
He gave you life, love and will pick you up if you fall.
When it comes to guys like him, He's the best of all.
Who is he?

Using Only Five 5's and any mathematical operator make sum as 37

I have a hole in my back and legs I lack.
I live where I can’t breathe and I eat without teeth.
What am I?

You may enter, but you may not come in. I have space, but no room. I have keys, but open no lock. What am I?

What number divided by 4 is the same as that number minus 4?

Can you solve the below algebraic mathematical equation?

(J+O+I+N+T)3 = JOINT

What is the word or phrase?

Three fair coins are tossed in the air and they land with heads up. Can you calculate the chances that when they are tossed again, two coins will again land with heads up?