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Kura needs to pay interest on her $16000 loan at 5.3% per annum for 182 days out of 365 days. How much will she owe after the year?

Respuesta :

Answer:

$422

Step-by-step explanation: Interest is 5.3% per annum that is (16000*5.3%)

=$848 for 365 days or per annum

For 182 days= (182/365)*848

=$422

The amount that Kura will owe at the end of the year=$16,423

Given:

Loan Amount=$16,000  

Rate of interest=5.3%

Time period=182 days

To find:

Amount that Kura will owe at the end of the year

Step by Step Explanation:

Solution:

Formula used for calculating amount is given as

[tex]\text { Amount Kura will owe after the end of year }=\text { Principle }+S . I[/tex]  

Also Simple Interest S.I is given as

[tex]S . I=\frac{P N R}{100}[/tex]

Where P=Principal amount or loan amount

N=Time period

R=Rate of interest

[tex]S . I=\frac{16,000 \times\left(\frac{282}{965}\right) \times 5.3}{100}[/tex]

[tex]S . I=\frac{16,000 \times 0.4986 \times 5.3}{100}[/tex]

[tex]S . I=\frac{42281.3}{100}[/tex]

S.I=422.813

Substitute the value of S.I in the main equation we get

[tex]\text { Amount }=\text { Principal }+S . I[/tex]

Amount=16000 + 423

             =$16,423

Result:

Hence, Kura will owe $16,423 after one year.