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
102 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)
Find the unit vector component of a vector v = (3, -4) in the direction of vector u = (2, 1).
+
What is the value of the tangent of an angle in a right triangle if the opposite side is 7 and the adjacent side is 3?
+
What is the domain and range of the square root function f(x) = √x? (properties of square root function)
+
New questions in Mathematics
A particular employee arrives at work sometime between 8:00 a.m. and 8:40 a.m. Based on past experience the company has determined that the employee is equally likely to arrive at any time between 8:00 a.m. and 8:40 a.m. Find the probability that the employee will arrive between 8:05 a.m. and 8:30 a.m. Round your answer to four decimal places, if necessary.
Write 32/25 as a percent
For a temperature range between 177 degrees Celsius to 213 degrees Celsius, what is the temperature range in degrees Fahrenheit.
A brass cube with an edge of 3 cm at 40 °C increased its volume to 27.12 cm3. What is the final temperature that achieves this increase?
3x+2/2x-1 + 3+x/2x-1 - 3x-2/2x-1
In a store there are packets of chocolate, strawberry, tutti-frutti, lemon, grape and banana sweets. If a person needs to choose 4 flavors of candy from those available, how many ways can they make that choice?
Find the measures of the sides of ∆KPL and classify each triangle by its sides k (-2,-6), p (-4,0), l (3,-1)
4X^2 25
If eight basketball teams participate in a tournament, find the number of different ways that first, second, and third places can be decided assuming that no ties are allowed.
-3(-4x+5)=-6(7x-8)+9-10x
A study reports the following final notation: F (3, 32) = 9.50, p < .05. How many total participants were involved in this study? Group of answer choices 34 32 36
Log5 625
. What will be the osmotic pressure of a solution that was prepared at 91°F by dissolving 534 grams of aluminum hydroxide in enough water to generate 2.784 ml of solution.
viii. An ac circuit with a 80 μF capacitor in series with a coil of resistance 16Ω and inductance 160mH is connected to a 100V, 100 Hz supply is shown below. Calculate 7. the inductive reactance 8. the capacitive reactance 9. the circuit impedance and V-I phase angle θ 10. the circuit current I 11. the phasor voltages VR, VL, VC and VS 12. the resonance circuit frequency Also construct a fully labeled and appropriately ‘scaled’ voltage phasor diagram.
Two particles of electrical charges Q1=3.8×10-⁶C and q,=4.4×10-⁶C are separated in vacuum by a distance of 4.0.10-⁸ m. Since K=9.0.10⁹ N.m²/C², the intensity of the interaction force between them, in newtons, is?
A company has had the following data for two consecutive years. Total, asset item 3,100,500 euros 3,300,550 euros. Net amount of business figures 4,755,250 euros /5,100 euros Average number of workers employed during the year 64/70 You can present a balance sheet in an abbreviated form
7- A printing company found in its investigations that there were an average of 6 errors in 150-page prints. Based on this information, what is the probability of there being 48 errors in a 1200-page job?
If sin A=0.3 and cos A=0.6, determine the value of tan A.
A confidence interval for a population mean has a margin of error of 3.5. a. Determine the length of the confidence interval. b. If the sample mean is 47.8 ​, obtain the confidence interval. a. The length of the confidence interval is?
Find the orthogonal projection of a point A = (1, 2, -1) onto a line passing through the points Pi = (0, 1, 1) and P2 = (1, 2, 3).