Min veninde håber, at firmaet vil ansætte hende.

Because veninde is a common-gender noun in Danish.

For singular nouns, the possessive matches the noun’s gender:

• min
  • common gender
• mit
  • neuter gender
• mine
  • plural

So:

• min veninde = my female friend
• mit firma = my company
• mine venner = my friends

In this sentence, veninde is common gender, so min is correct.

Veninde means female friend. It specifically refers to a woman or girl who is your friend.

Compare:

• ven = friend, traditionally male friend, but often also used more generally
• veninde = female friend

So min veninde clearly tells you the friend is female.

Because firmaet is the definite form of firma.

• et firma = a company
• firmaet = the company

Danish usually adds the definite article to the end of the noun instead of using a separate word like English the.

Since the sentence refers to a specific company, Danish uses firmaet.

Because at introduces a subordinate clause, and Danish normally places a comma before such clauses.

So the sentence is divided like this:

• Min veninde håber
• at firmaet vil ansætte hende

That second part is a clause functioning like that the company will hire her.

In Danish writing, this comma is standard.

No. Here at means that, not to.

Danish at can have two different jobs:

• as a conjunction: that
• as an infinitive marker: to

In this sentence, it is a conjunction:

• Min veninde håber, at ...
  = My friend hopes that ...

If it meant to, it would be part of an infinitive, such as:

• at ansætte = to hire

So Danish learners need to check the function from the sentence structure.

Because this is a subordinate clause introduced by at.

The basic order here is:

• firmaet = subject
• vil = finite verb
• ansætte = infinitive
• hende = object

So:

• at firmaet vil ansætte hende

This is a normal Danish clause pattern.
There is no inversion here, because nothing has been moved to the front inside the subordinate clause.

A useful point for learners: Danish subordinate clauses often differ from main clauses mainly in adverb placement, but the subject still commonly comes before the finite verb, as it does here.

Here vil means something like will.

It can express:

• future
• intention
• willingness

In this sentence, the natural meaning is:

• the company will hire her
• or the company is willing/likely to hire her

So vil is the modal verb that gives the sense of what the company is expected or hoped to do.

Because it comes after the modal verb vil.

In Danish, when a modal verb is used, the next verb is normally in the infinitive, without another at.

So:

• vil ansætte = will hire

Compare:

• Firmaet ansætter hende = The company hires / is hiring her
• Firmaet vil ansætte hende = The company will hire her

After vil, you do not say vil at ansætte. That would be wrong.

Because hende is the object form of the pronoun, while hun is the subject form.

Compare:

• hun = she
• hende = her

In this sentence, the company is doing the action, and her is receiving the action:

• firmaet = subject
• hende = object

So Danish uses hende, just as English uses her in hire her.

Yes. Håber is the present tense of at håbe = to hope.

The forms are:

• at håbe = to hope
• håber = hope / hopes
• håbede = hoped
• har håbet = have/has hoped

So Min veninde håber means My friend hopes.

Danish verbs do not change according to person the way English does. The same present form is used with all subjects:

• jeg håber
• du håber
• hun håber
• vi håber

Yes, but the meaning changes slightly.

• Min veninde = my female friend
• Min ven = my friend, often understood as male friend, though it can sometimes be used more generally

So if you say Min ven håber, you are no longer specifically identifying the friend as female in the same way.

It is a subordinate content clause introduced by at. In English grammar, you can think of it as a that-clause.

It functions as the thing that is hoped:

• My friend hopes [that the company will hire her].

So the structure is:

• main clause: Min veninde håber
• subordinate clause: at firmaet vil ansætte hende

This is very common after verbs like:

• tro = think
• vide = know
• håbe = hope
• sige = say

It can look unusual because of the letters æ and the double consonants.

A rough learner-friendly pronunciation is something like:

• AN-set-teh

But the real Danish pronunciation is softer and more compressed than that rough guide suggests.

A few things to notice:

• æ is a vowel sound somewhat like the e in bed, though not exactly the same
• double consonants in Danish usually do not mean you hold the consonant much longer; they often help show the vowel is short
• the final -e is usually a light, unstressed sound

So even if the spelling looks long, native pronunciation is smoother than English speakers often expect.