Intereting Posts

Is $\sqrt{\left(\operatorname{Si}(x)-\frac\pi2\right)^2+\operatorname{Ci}(x)^2}$ monotonic?
Can an odd perfect number be divisible by $105$?
Constructing Isomorphism between finite field
$PGL_2(q)$ acts on $\Omega$ $3-$transitively?
$f(0)=f'(0)=f'(1)=0$ and $f(1)=1$ implies $\max|f''|\geq 4$
What is the difference between the limit of a sequence and a limit point of a set?
Pairing function for ordered pairs
non-abelian groups of order $p^2q^2$.
For which $x$ is $e^x$ rational? Transcendental?
Solution to least squares problem using Singular Value decomposition
multiplicative group of infinite fields
Normal approximation of tail probability in binomial distribution
How was 78557 originally suspected to be a Sierpinski number?
Endomorphisms of modules satisfying chain conditions and counterexamples.
Permutation isomorphic subgroups of $S_n$ are conjugate

The problem statement is:

What annual instalment will discharge a debt of 1092 due in 3 years at 12% simple interest?

Now, what I know is

- Prove that $\frac{1}{2}+\frac{2}{2^2}+\frac{3}{2^3} +…+ \frac{n}{2^n} = 2 - \frac{n+2}{2^n} $
- Prove that $a^2+ab+b^2\ge 0$
- Bounding $(x+y)^n$
- How to prove that the roots of this equation are integers?
- On the “funny” identity $\tfrac{1}{\sin(2\pi/7)} + \tfrac{1}{\sin(3\pi/7)} = \tfrac{1}{\sin(\pi/7)}$
- Proving $\sqrt{x + y} \le \sqrt{x} + \sqrt{y}$

Simple interest =( principal* Rate per annum*Time in years)/(100)

Here, R= 12℅ ,T=3 years but I don’t understand how to move forward.I am not getting the meaning of the problem statement.

I am adding the solution from one book for the given question but I don’t understand it. So can anyone explain it? Or can anyone give there own solution to the given question?

- Equation of angle bisector, given the equations of two lines in 2D
- Prove the following property of $f(x)$?
- What's the math formula that is used to calculate the monthly payment in this mortgage calculator?
- If $a=\langle12,5\rangle$ and $b=\langle6,8\rangle$, give orthogonal vectors $u_1$ and $u_2$ that $u_1$ lies on a and $u_1+u_2=b$
- If $f(x) = \sin \log_e (\frac{\sqrt{4-x^2}}{1-x})$ then find the range of this function.
- show that $19-5\sqrt{2}-8\sqrt{4}$ is a unit in $\mathbb{Z}{2}]$
- Does Fermat's Little Theorem work on polynomials?
- When you divide the polynomial $A(x)$ by $(x-1)(x+2)$, what remainder will you end up with?
- Proof that sum of first $n$ cubes is always a perfect square
- Express each of the following expressions in the form $2^m3^na^rb^s$, where $m$, $n$,$ r$ and $ s$ are positive integers.

Your repayment amount yields an interest of 12% per year. The last installment (the third)does not fetch any interest. The second installment will give 12% interest for one year. That is, the amount $x$ paid at the end of second year would be $x + \frac{x \times 12}{100}$ at the end of third year. The installment you paid at the end of first year will fetch interest for 2 years. Thus it would be $x + \frac{2 \times x \times 12}{100}$. Thus we must have

\begin{align*}

x \text{ (last installment) } + \left(x + \frac{x \times 12}{100}\right) \text{ (second installment) } + x + \frac{2 \times x \times 12}{100} \text{ (first installment) } = 1092

\end{align*}

The rest is clear to you, I suppose.

The problem statement is stating that one will make one payment each year towards the debt.

As I read it, it sounds like the annual installment should be the same from year to year.

- What is the difference between the relations $\in$ and $\subseteq$?
- Solving quadratic equations in modular arithmetic
- About the first positive root of $\sum_{k=1}^n\tan(kx)=0$
- Question about the proof of $S^3/\mathbb{Z}_2 \cong SO(3)$
- Uniform convergence problem
- Integration of $\int \frac{x^2+20}{(x \sin x+5 \cos x)^2}dx$
- Combinatorial interpretation of Fermat's Last Theorem
- Where is the absolute value when computing antiderivatives?
- show that $\frac{a^2+b^2+c^2}{15}$ is non-square integer
- $E|X-m|$ is minimised at $m$=median
- What is the probability that the center of the circle is contained within the triangle?
- Prob. 2, Chap. 6, in Baby Rudin: If $f\geq 0$ and continuous on $$ with $\int_a^bf(x)\ \mathrm{d}x=0$, then $f=0$
- Calculating $\int_{\mathcal{S}}x_1^r \, \mathrm dx_1\ldots \, \mathrm dx_n$
- When is a cyclotomic polynomial over a finite field a minimal polynomial?
- Evaluating $\int_0^\infty \frac{\log (1+x)}{1+x^2}dx$