هناك بطاقة مصرفية في المحفظة.

Here هناك introduces an existential sentence, so it means there is or there are.

So:

• هناك بطاقة مصرفية = There is a bank card

In other contexts, هناك can also mean there / over there as a location word, but in this sentence it is functioning like there is.

In standard Arabic, the verb to be is usually not written or spoken in the present tense in sentences like this.

So Arabic says something structurally closer to:

• There bank card in the wallet

but the natural English meaning is:

• There is a bank card in the wallet

This is completely normal in Arabic. The idea of is is understood without a separate word.

Starting with هناك is very common when Arabic wants to express existence: that something is present somewhere.

So:

• هناك بطاقة مصرفية في المحفظة = There is a bank card in the wallet

If you changed the order, the meaning or emphasis could shift. Arabic often uses هناك + an indefinite noun when introducing something for the first time.

Because in Arabic, adjectives normally come after the noun they describe.

So:

• بطاقة مصرفية = literally card banking = bank card

This is the normal order:

• noun first
• adjective second

Compare:

• كتاب جديد = a new book
• سيارة كبيرة = a big car

Because it has to agree with بطاقة, and بطاقة is a feminine singular noun.

Arabic adjectives agree with the noun in:

• gender
• number
• definiteness
• usually case as well

Since بطاقة is feminine singular, the adjective must also be feminine singular:

• بطاقة مصرفية

The feminine ending here is the ـة / ـية form.

A big clue is the ending ـة (called tāʾ marbūṭa). Very often, nouns ending in ـة are feminine.

So:

• بطاقة is feminine
• therefore its adjective must also be feminine: مصرفية

This ending is one of the first things learners use to recognize grammatical gender in Arabic.

Because the sentence means:

• a bank card
• in the wallet

In Arabic:

• بطاقة مصرفية has no ال, so it is indefinite
• المحفظة has ال, so it is definite

Also, the adjective matches the noun in definiteness:

• بطاقة مصرفية = both indefinite
• if it were definite, it would be البطاقة المصرفية

That agreement is very important in Arabic adjective phrases.

Because في means in, and the thing that comes after a preposition in Arabic follows it directly.

So:

• في المحفظة = in the wallet

This is similar to English in meaning, though Arabic grammar also gives the noun after a preposition a special case ending.

Because after a preposition like في, the following noun is in the genitive case.

So in fully vocalized Arabic, you would expect:

• في المِحْفَظَةِ

That final -i sound marks the genitive.

In most everyday printed Arabic, these short vowels are not written, so learners usually just see:

• في المحفظة

But grammatically, the genitive is still there.

Because in fully vocalized formal Arabic, an indefinite singular noun in this kind of sentence is normally nominative, and the adjective matches it.

So you may see:

• هُناكَ بِطاقَةٌ مَصْرِفِيَّةٌ في المِحْفَظَةِ

Those -un endings are called tanwīn.

So, in full grammatical form:

• بطاقةٌ = nominative indefinite
• مصرفيةٌ = adjective matching it
• المحفظةِ = genitive after في

In normal unvowelled writing, these endings are usually not shown.

No. It is a noun + adjective phrase, not an iḍāfa.

Why?

Because:

• مصرفية is an adjective describing بطاقة
• it agrees with the noun in gender and definiteness

That is different from iḍāfa, where the second word is a noun, not an adjective.

So:

• بطاقة مصرفية = a banking/bank card → noun + adjective
• not an iḍāfa

A useful clue is that an adjective can take ال when the noun is definite:

• البطاقة المصرفية

That is exactly what adjectives do.

Good question. Arabic has more than one way to express the idea of bank-related.

• مصرف = bank in a formal/register-sensitive sense
• مصرفي / مصرفية = banking, financial-institution-related
• بنك is also widely used for bank

So بطاقة مصرفية is a very normal formal MSA expression for bank card.

You may also encounter other related expressions depending on context, but مصرفية is perfectly natural in Modern Standard Arabic.

A careful full pronunciation with case endings is approximately:

• hunāka biṭāqatun maṣrafiyyatun fī al-miḥfaẓati

In less formal reading, many speakers would reduce or omit the case endings, something closer to:

• hunāka biṭāqa maṣrafiyya fī l-miḥfaẓa

A few helpful pronunciation notes:

• ṭ in biṭāqa is an emphatic t
• ḥ in miḥfaẓa is a strong h
• ẓ is an emphatic consonant
• the final ـة is often heard as -a in pause, but as -t when full endings are pronounced

So learners often hear slightly different versions depending on how formal the speech is.