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tatuchka [14]
3 years ago
7

Anna’s bank gives her a loan with a stated interest rate of 10.22%. How much greater will Anna’s effective interest rate be if t

he interest is compounded daily, rather than compounded monthly? a. 0.5389 percentage points b. 0.1373 percentage points c. 0.4926 percentage points d. 0.0463 percentage points
Mathematics
2 answers:
Cerrena [4.2K]3 years ago
7 0

The difference between the interest is compounded daily, rather than compounded monthly is \boxed{0.0463{\text{ percentage}}}. Option (d) is correct.

Further explanation:

Given:

Anna’s bank gives her a loan with a stated interest rate of 10.22\%.

Explanation:

Anna’s bank gives her a loan with a stated interest rate of 10.22\%.

The difference between the effective interest rate be if the interest is compounded daily, rather than compounded monthly can be calculated as follows,

\begin{aligned}{\text{Difference}} &= {\left( {1 + \frac{{0.1022}}{{365}}} \right)^{365}} - {\left( {1 + \frac{{0.1022}}{{12}}} \right)^{12}}\\&= 1.107589 - 1.107126\\&= 0.000463\\&= 0.0463\%\\\end{aligned}

The difference between the interest is compounded daily, rather than compounded monthly is \boxed{0.0463{\text{ percentage}}}. Option (d) is correct.

Option (a) is not correct.

Option (b) is not correct.

Option (c) is not correct.

Option (d) is correct.

Learn more:

  1. Learn more about inverse of the function brainly.com/question/1632445.
  2. Learn more about equation of circle brainly.com/question/1506955.
  3. Learn more about range and domain of the function brainly.com/question/3412497

Answer details:

Grade: High School

Subject: Mathematics

Chapter: Simple interest

Keywords: nominal rate, compounded daily, effective rate, compounded monthly, Anna’s bank, Anna, bank, loan, percentage, interest rate, Principal, invested, interest rate, account, effective interest rate, total interest, amount.

7nadin3 [17]3 years ago
5 0

Original APR = 10.22% compounded monthly.

Original effective interest rate, compounded monthly

= (1+(0.1022/12))^12

= 1.10712576

Original effective interest rate, compounded daily

= (1+(0.1022/365)^365

= 1.107589126

Difference in rate due to compounding periods

= 1.107589126 -  1.10712576

= 0.00046336

= 0.04634%



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