To determine how many Japanese yen Takuya has after exchanging his New Zealand dollars and accounting for the fee, we will follow these steps:
1. Initial Amount in New Zealand Dollars:
Takuya initially has \[tex]$3800 NZD.
2. Fee Deduction:
Takuya is charged a flat fee of \$[/tex]70 NZD.
Subtract this fee from the initial amount:
[tex]\[
3800 \, \text{NZD} - 70 \, \text{NZD} = 3730 \, \text{NZD}
\][/tex]
So, effectively, he is left with 3730 NZD for the currency exchange.
3. Exchange Rate Calculation:
The exchange rate is 1 New Zealand dollar = 62.8792 Japanese yen.
To find out how many Japanese yen Takuya will receive, multiply the remaining New Zealand dollars by the exchange rate:
[tex]\[
3730 \, \text{NZD} \times 62.8792 \, \text{JPY/NZD} = 234,539.416 \, \text{JPY}
\][/tex]
After these calculations, Takuya ends up with approximately 234,539 Japanese yen. Thus, the correct answer is:
[tex]\[ \boxed{234,539} \][/tex]
So of the given options, C. 234,539 is the correct choice.
