🧮 algebra

1. **Problem:** Aiko earns ₱15 500 monthly plus 8% commission on all her sales. She sold a car worth ₱1 550 000 last month. Find her total earnings last month. Step 1: Calculate th

1) **Problem:** Calculate the interest earned on a savings deposit of 17800 at an annual interest rate of 5.5% after 3 years. **Given:**

1. Problem 1: Loremea received a 5% discount which saved her ₱634.50. We need to find the original price (let's call it $P$). Discount = 5% of original price = $0.05P$

1. Problema: Sergio tiene 7 años y su papá 32 años. ¿Dentro de cuántos años la edad del padre será el doble de la de su hijo? 2. Sea $x$ los años que pasarán para que la edad del p

1. The problem is to find the square root of 43.09. 2. Recall that the square root of a number $x$ is a value $y$ such that $y^2 = x$.

1. We are asked to find the square root of 474. 2. The square root of a number $x$ is a value $y$ such that $y^2 = x$.

1. **State the problem:** Simplify the expression $$\frac{5}{y} - \frac{1}{4} + \frac{3y}{4} + \frac{1}{2}$$. 2. **Group like terms:** The expression has terms with $y$ in the deno

1. La respuesta correcta para \(-5(x + 1) + 7x = -2(3x + 2) - 3x + 4\) es \(x = \frac{5}{11}\). 2. La respuesta correcta para \(-2(-2x + 3) + 3x = 3(x - 1) + 1\) es \(x = 1\).

1. We are asked to find Jose's commission given a sales amount and a commission rate. 2. Jose's commission is calculated as 5% of total sales. Given sales = 12690, commission = 5%

1. **Solve system a using Cramer's rule:** Given:

1. Problem 6: Find the discount rate for a wristwatch originally priced at 5990 but sold for 5091.50. The discount amount is calculated by subtracting the sale price from the origi

1. Solve the given systems of equations. **a)** System:

1. El ingreso mensual de la empresa está dado por el polinomio$$I(x) = 6x^4 - 5x^3 + 2x^2 - x + 4.$$ El periodo de análisis es de duración$$x^2 + 1$$ años.

1. **Stating the problem:** Nimal and Kamal have a total of 400 rupees together.

1. Bài 4: Một chiếc thuyền xuôi dòng và ngược dòng trên khúc sông dài 40 km hết 4 giờ 30 phút. Thời gian 4h30phút = 4.5 giờ.

1. **بيان المسألة:** لدينا عددين طبيعيين $a$ و$b$ مُعرفين بدلالة عدد طبيعي $n$ غير معلوم. 2. **تحليل العدد $a$ إلى جداء عوامل أولية:**

1. Problema: Calcular el ingreso promedio por período dado el ingreso total $$I(x)=6x^4-5x^3+2x^2 - x +4$$ y el período $$x+1$$ años. 2. Para encontrar el ingreso promedio por perí

1. State the problem: Express $$\frac{1}{x^{3} - 1}$$ as partial fractions. 2. Factor the denominator using the difference of cubes formula: $$a^{3} - b^{3} = (a - b)(a^{2} + ab +

1. Problema: Indicar cuáles de estas divisiones son exactas usando el Teorema del Residuo. a. Dividir $x^2 - 5x + 1$ entre $x - 2$

1. The AM-GM inequality states that for any list of non-negative real numbers $a_1, a_2, \dots, a_n$, the arithmetic mean (AM) is always greater than or equal to the geometric mean

1. Let's clarify the problem. You seem to be asking about proving an expression involving $2n$ and $n-1$. Please specify the exact statement or equation you want to prove. 2. Assum