Find all the ways you can use exactly 50 coins to make a change for a dollar 1.00 bill. Solution:- Given that we can use exactly 50 coins whose worth is 1Dollar(100cents) We have 5 different types of coins Penny=1…

## Two pipes can fill a tank in 76 minutes if both are turned on.If only one is used,it would take 27 minutes longer for the smaller pipe to fill

Two pipes can fill a tank in 76 minutes if both are turned on. If only one is used, it would take 27 minutes longer for the smaller pipe to fill the tank than the larger pipe. How long will…

## The sum of two integers is 704 and the larger number is 11 more than 8 times the smaller number.Find the two integers.

The sum of two integers is 704 and the larger number is 11 more than 8 times the smaller number. Find the two integers. Detailed Solution: Let us say that the two integers are X and Y. Let X be…

## A grocer wants to mix two kinds of coffee.One kind sells for $1.45 per pound,and other sells for 2.20 Per pound. He wants to mix a total of 21 pounds and sell it for 1.70Per pound.

A grocer wants to mix two kinds of coffee. One kind sells for 1.45 per pound, and other sells for 2.20 per pound. He wants to mix a total of 21 pounds and sell it for 1.70Per pound. How many…

## Introduction to Conic Sections

Learning objectives: This article focuses primarily on prerequisites to understand the conic sections and the real-time applications of conic sections. The following is the brief of supporting concepts and the features of this article: Locus & Definition of Locus of…

## 18,355 is invested,part at 13% and the rest at 7%.If the interest earned from the amount invested at 13% exceeds the interest earned from the amount invested at 7% by $963.55

Question:18,355 is invested,part at 13% and the rest at 7%.If the interest earned from the amount invested at 13% exceeds the interest earned from the amount invested at 7% by963.55. How much he invested at each rate? Solution: Given an…

## Betty invested some money at 15% interest.Betty also invested $237 more than 2 times than amount at 13%

Question: Betty invested some money at 15% interest. Betty also invested more than 2 times that amount at 13%. How much is invested at each rate if Betty receives in interest after one year? (Round to two decimal places if…

## Graphing the Quadratic functions.

Learning objectives: This lesson focuses primarily on graphing quadratic functions, and how can vertex of the parabola help in easy parabola graphing.Other supporting topics include quadratic parent function, leading coefficient “a”, and Transformations. The following is the brief of key concepts…

## Transformations of Quadratic functions .

Learning objectives: This lesson focuses on the transformations of quadratic functions, and how the vertex form of a quadratic helps in understanding the transformation. We will also discuss the supporting topics, which include quadratic parent function, and effect of leading…

## Vertex form of a parabola,Standard to vertex form conversion

Contents: This article covers the vertex form of a parabola, how to find the vertex of a parabola and the intercepts. Please do attempt the QUIZ at the end of the article to ensure a complete understanding of the topic….