Question

A promissory note with 10% interest obligates the debtor to pay interest monthly. The document expires after six months; calculate the effective rate of interest paid.

279

likes
1395 views

Answer to a math question A promissory note with 10% interest obligates the debtor to pay interest monthly. The document expires after six months; calculate the effective rate of interest paid.

Expert avatar
Frederik
4.6
103 Answers
Given:
- r = 0.10 (10% annual rate),
- n = 12 (monthly compounding).

To calculate the effective interest rate over a 6-month period:
EIR = \left(1 + \frac{0.10}{12}\right)^{12} - 1

This simplifies to:
EIR = \left(1 + \frac{0.10}{12}\right)^{12} - 1
EIR = (1.00833)^{12} - 1
EIR = 1.0512 - 1
EIR = 0.0512

So, the effective interest rate over the 6-month period is approximately 5.12%.

\boxed{EIR \approx 5.12\%}

Frequently asked questions (FAQs)
What is the value of (5^3 + √16) / (2^(2-1)) + (9^0 + 3^2) - 10?
+
What is the maximum range of the sine function?
+
Math question: In triangle ABC, if angle A measures 45 degrees, side AC is 10 units, and side BC is 8 units, find the length of side AB.
+
New questions in Mathematics
12-6x=4x+2
String x = 5 Int y=2 System.out.println(x+y)
I) Find the directional derivative of 𝑓(𝑥, 𝑦) = 𝑥 sin 𝑦 at (1,0) in the direction of the unit vector that make an angle of 𝜋/4 with positive 𝑥-axis.
If L = (-2, -5) is reflected across y= -4 , what are the coordinates of L?
3x+5y=11 2x-3y=1
Derivative of x squared
7/6-(-1/9)
Mrs. Emily saved RM10000 in a bank. At the end of the eighth year, the amount of money accumulated amounted to RM19992.71. If the bank pays an annual interest of x% for a year compounded every 6 months. Calculate the value of x.
logy/logx + logz/logy + logt/logz = 8x².t x=?
Determine the reduced equation of the straight line that is perpendicular to the straight line r: y=4x-10 and passes through the origin of the Cartesian plane
7. Find the equation of the line passing through the points (−4,−2) 𝑎𝑛𝑑 (3,6), give the equation in the form 𝑎𝑥+𝑏𝑦+𝑐=0, where 𝑎,𝑏,𝑐 are whole numbers and 𝑎>0.
The physician orders 15mg of tramadol(liquid). On hand is 30mg/2mL vials. How many mL will the MA administer?
Is -11/8 greater than or less than -1.37?
Let A, B, C and D be sets such that | A| = |C| and |B| = |D|. Prove that |A × B| = |C × D|
Two minus log 3X equals log (X over 12)
A property sold for $745,000 in a co-brokered transaction. The seller has agreed to pay a 7% commission to the listing firm. The listing firm has agreed to equally split the commission with the selling firm. If the buyer’s broker will receive 8% of the selling firm’s commission, how much commission will the buyer’s broker receive? $14,900 $3725 $$37250 $18625
A factory produces glass for windows. The thickness X of an arbitrarily selected pane of glass is assumed to be Normally distributed with expectation μ = 4.10 and standard deviation σ = 0.04. Expectation and Standard deviation is measured in millimeters. What is the probability that an arbitrary route has a thickness less than 4.00 mm?
Let G be the center of gravity of triangle ABC. We draw through A a parallel to BC on which we take a point D so that DG⊥BG. If the area of the quadrilateral AGBD is equal to s, show that AC·BD≥2·s.
Write the inequality in the form of a<x<b. |x| < c^2
A group of 17 people spent 9 days on vacation and spent R$776.34 on barbecue meat and the bill needs to be divided as follows: 6 people stayed for 9 days, 7 people stayed for 4 days, and 2 people stayed for 5 days and 2 people stayed 3 days, how much does each group have to pay for the days they stayed?