You pay a deposit so that the property can be restored when you move out to the state it was when you moved in. If the property is left in good condition, you may be able to get a fair amount of your deposit back.
Prepaid rent (indskud)
You pay prepaid rent to cover the rent before your lease ends. For example, if you have paid three months of prepaid rent, you do not have to pay rent for the last three months before you move out.
Utilities refer to heating, water, gas, electricity, internet and a media licence fee. You need to check your rental contract to see which utilities are already included in your rent. The amount you pay for utilities depends on how much you and your household consume.