devyy To calculate the present value (PV) of an amount of money that you will receive in the future, we use the formula: PV = FV / (1 + r)^n Where: PV = Present Value FV = Future Value ($10,000 in this case) r = discount rate (5% or 0.05) n = number of years until … Read more
The product of a set of numbers is found by multiplying them together. In this case, we have the numbers 32, 2, 5, and 1. Let’s go through the multiplication step by step: 1. First, multiply 32 by 2: 32 x 2 = 64 2. Next, take the result (64) and multiply it by 5: … Read more
To determine how many unique license plates can be created using a combination of 3 letters followed by 2 digits, we need to break this down into two parts: the letters and the digits. Step 1: Calculate the number of combinations for the letters. The English alphabet consists of 26 letters. When forming a license … Read more
To find the diameter of a circle when you have the circumference, you can use a simple mathematical formula based on the relationship between the two. The circumference (C) of a circle is calculated using the formula: C = π × d Where: C is the circumference of the circle, d is the diameter, and … Read more
To identify the next number in the series 1, 4, 10, 19, 31, we first need to observe the differences between consecutive terms. 4 – 1 = 3 10 – 4 = 6 19 – 10 = 9 31 – 19 = 12 Now, let’s examine these differences: 3 6 9 12 We can see … Read more
To find the z-score that separates the bottom 90% from the top 10% in a standard normal distribution, we need to locate the value that corresponds to the cumulative probability of 0.90. The standard normal distribution is characterized by a mean of 0 and a standard deviation of 1. The z-score is a statistical measurement … Read more
Understanding Parallelograms and Their Types In geometry, a parallelogram is a four-sided figure (a quadrilateral) where both pairs of opposite sides are parallel. Because of this property, parallelograms share various characteristics, such as opposite angles being equal and adjacent angles being supplementary. Types of Parallelograms Several quadrilaterals fall under the classification of parallelograms. Here are … Read more
Finding the prime factors of a number is a fundamental concept in number theory that allows us to break down composite numbers into their basic building blocks. Here’s a step-by-step guide on how to find the prime factors of a number: Step 1: Understand what prime numbers are Prime numbers are natural numbers greater than … Read more
To solve the problem of dividing x³ + 6 by x², let’s break the expression down step by step. 1. **Identify the terms**: The expression we are dividing is x³ + 6. Here, x³ is a polynomial term, and 6 is a constant. 2. **Set up the division**: We will divide each part of the … Read more
To find the value of r in the equation 4r – 8 = 5r – 12, we will follow these steps: Isolate the variable r: Start by getting all terms involving r on one side of the equation and constant terms on the other side. Add 8 to both sides: 4r – 8 + 8 … Read more