Basic College Mathematics (5th Edition)
5th Edition
ISBN: 9780321950970
Author: Elayn Martin-Gay
Publisher: PEARSON
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Chapter 5.2, Problem 16E
To determine
To write: The given rate as a unit rate.
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(10 points) Let f(x, y, z) = ze²²+y². Let
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f(x, y, z) dv.
E
1. Find the solution set of In(x) sin(x) ≤ 0, for x = [0,14].
Suppose you are gambling on a roulette wheel. Each time the wheel is spun, the result is one of the outcomes 0, 1, and so on through 36. Of these outcomes, 18 are red, 18 are black, and 1 is green. On each spin you bet $5 that a red outcome will occur and $1 that the green outcome will occur. If red occurs, you win a net $4. (You win $10 from red and nothing from green.) If green occurs, you win a net $24. (You win $30 from green and nothing from red.) If black occurs, you lose everything you bet for a loss of $6.
a. Use simulation to generate 1,000 plays from this strategy. Each play should indicate the net amount won or lost. Then, based on these outcomes, calculate a 95% confidence interval for the total net amount won or lost from 1,000 plays of the game. (Round your answers to two decimal places and if your answer is negative value, enter "minus" sign.) I worked out the Upper Limit, but I can't seem to arrive at the correct answer for the Lower Limit. What is the Lower Limit?…
Chapter 5 Solutions
Basic College Mathematics (5th Edition)
Ch. 5.1 - Prob. 1PCh. 5.1 - Write each ratio using fractional notation.
The...Ch. 5.1 - Write each ratio using fractional notation.
The...Ch. 5.1 - Prob. 4PCh. 5.1 - Prob. 5PCh. 5.1 - Prob. 6PCh. 5.1 - Use the circle graph for Example 7 to write the...Ch. 5.1 - Prob. 8PCh. 5.1 - Prob. 1VRVCh. 5.1 - Prob. 2VRV
Ch. 5.1 - Prob. 3VRVCh. 5.1 - Prob. 4VRVCh. 5.1 - Prob. 5VRVCh. 5.1 - Prob. 6VRVCh. 5.1 - Prob. 7VRVCh. 5.1 - Prob. 8VRVCh. 5.1 - Prob. 1ECh. 5.1 - Prob. 2ECh. 5.1 - Prob. 3ECh. 5.1 - Prob. 4ECh. 5.1 - Prob. 5ECh. 5.1 - Prob. 6ECh. 5.1 - Prob. 7ECh. 5.1 - Prob. 8ECh. 5.1 - Prob. 9ECh. 5.1 - Prob. 10ECh. 5.1 - Prob. 11ECh. 5.1 - Prob. 12ECh. 5.1 - Prob. 13ECh. 5.1 - Prob. 14ECh. 5.1 - Prob. 15ECh. 5.1 - Prob. 16ECh. 5.1 - Mixed Practice Write each ratio as a ratio of...Ch. 5.1 - Mixed Practice Write each ratio as a ratio of...Ch. 5.1 - Prob. 19ECh. 5.1 - Prob. 20ECh. 5.1 - Prob. 21ECh. 5.1 - Prob. 22ECh. 5.1 - Mixed Practice Write each ratio as a ratio of...Ch. 5.1 - Prob. 24ECh. 5.1 - Prob. 25ECh. 5.1 - Prob. 26ECh. 5.1 - Prob. 27ECh. 5.1 - Prob. 28ECh. 5.1 - Prob. 29ECh. 5.1 - Prob. 30ECh. 5.1 - Prob. 31ECh. 5.1 - Prob. 32ECh. 5.1 - Prob. 33ECh. 5.1 - Prob. 34ECh. 5.1 - Prob. 35ECh. 5.1 - Prob. 36ECh. 5.1 - Prob. 37ECh. 5.1 - Prob. 38ECh. 5.1 - Prob. 39ECh. 5.1 - Prob. 40ECh. 5.1 - Prob. 41ECh. 5.1 - Prob. 42ECh. 5.1 - Prob. 43ECh. 5.1 - Prob. 44ECh. 5.1 - Prob. 45ECh. 5.1 - Prob. 46ECh. 5.1 - Prob. 47ECh. 5.1 - Prob. 48ECh. 5.1 - Prob. 49ECh. 5.1 - Prob. 50ECh. 5.1 - Prob. 51ECh. 5.1 - Prob. 52ECh. 5.1 - Prob. 53ECh. 5.1 - Prob. 54ECh. 5.1 - Prob. 55ECh. 5.1 - Prob. 56ECh. 5.1 - Prob. 57ECh. 5.1 - Prob. 58ECh. 5.1 - Prob. 59ECh. 5.1 - Prob. 60ECh. 5.1 - Prob. 61ECh. 5.1 - Prob. 62ECh. 5.1 - Prob. 63ECh. 5.1 - Prob. 64ECh. 5.1 - Prob. 65ECh. 5.1 - Prob. 66ECh. 5.1 - Prob. 67ECh. 5.1 - Prob. 68ECh. 5.1 - Prob. 69ECh. 5.1 - Prob. 70ECh. 5.1 - Prob. 71ECh. 5.1 - Prob. 72ECh. 5.1 - Prob. 73ECh. 5.2 - Prob. 1PCh. 5.2 - Prob. 2PCh. 5.2 - Prob. 3PCh. 5.2 - Prob. 4PCh. 5.2 - Prob. 5PCh. 5.2 - Prob. 6PCh. 5.2 - Prob. 7PCh. 5.2 - Prob. 1VRVCh. 5.2 - Prob. 2VRVCh. 5.2 - Prob. 3VRVCh. 5.2 - Prob. 4VRVCh. 5.2 - Prob. 5VRVCh. 5.2 - Prob. 1ECh. 5.2 - Prob. 2ECh. 5.2 - Prob. 3ECh. 5.2 - Prob. 4ECh. 5.2 - Prob. 5ECh. 5.2 - Prob. 6ECh. 5.2 - Prob. 7ECh. 5.2 - Prob. 8ECh. 5.2 - Prob. 9ECh. 5.2 - Prob. 10ECh. 5.2 - Prob. 11ECh. 5.2 - Prob. 12ECh. 5.2 - Prob. 13ECh. 5.2 - Prob. 14ECh. 5.2 - Prob. 15ECh. 5.2 - Prob. 16ECh. 5.2 - Prob. 17ECh. 5.2 - Prob. 18ECh. 5.2 - Prob. 19ECh. 5.2 - Prob. 20ECh. 5.2 - Prob. 21ECh. 5.2 - Write each rate as a unit rate. See Examples 4 and...Ch. 5.2 - Prob. 23ECh. 5.2 - Prob. 24ECh. 5.2 - Prob. 25ECh. 5.2 - Prob. 26ECh. 5.2 - Prob. 27ECh. 5.2 - Prob. 28ECh. 5.2 - Prob. 29ECh. 5.2 - Prob. 30ECh. 5.2 - Prob. 31ECh. 5.2 - Prob. 32ECh. 5.2 - Prob. 33ECh. 5.2 - Prob. 34ECh. 5.2 - Prob. 35ECh. 5.2 - Prob. 36ECh. 5.2 - Prob. 37ECh. 5.2 - Prob. 38ECh. 5.2 - Prob. 39ECh. 5.2 - Prob. 40ECh. 5.2 - Find each unit price. See Example 6.
$1.19 for 7...Ch. 5.2 - Find each unit price. See Example 6.
$73.50 for 6...Ch. 5.2 - Objective C Find each unit price. See Example...Ch. 5.2 - Prob. 44ECh. 5.2 - Prob. 45ECh. 5.2 - Prob. 46ECh. 5.2 - Prob. 47ECh. 5.2 - Prob. 48ECh. 5.2 - Prob. 49ECh. 5.2 - Prob. 50ECh. 5.2 - Prob. 51ECh. 5.2 - Find each unit price. See Example 6.
Multiply or...Ch. 5.2 - Find each unit price. See Example 6.
Multiply or...Ch. 5.2 - Find each unit price. See Example 6.
Multiply or...Ch. 5.2 - Prob. 55ECh. 5.2 - Prob. 56ECh. 5.2 - Prob. 57ECh. 5.2 - Prob. 58ECh. 5.2 - Prob. 59ECh. 5.2 - Prob. 60ECh. 5.2 - Prob. 61ECh. 5.2 - Prob. 62ECh. 5.2 - Prob. 63ECh. 5.2 - Find each unit price. See Example 6.
In your own...Ch. 5.2 - Prob. 65ECh. 5.2 - Find each unit price. See Example 6.
Find an item...Ch. 5.3 - Prob. 1PCh. 5.3 - Prob. 2PCh. 5.3 - Is a true proportion?
Ch. 5.3 - Prob. 4PCh. 5.3 - Prob. 5PCh. 5.3 - Prob. 6PCh. 5.3 - Prob. 7PCh. 5.3 - Prob. 8PCh. 5.3 - Use the words and phrases below to fill in each...Ch. 5.3 - Use the words and phrases below to fill in each...Ch. 5.3 - Use the words and phrases below to fill in each...Ch. 5.3 - Use the words and phrases below to fill in each...Ch. 5.3 - Prob. 5VRVCh. 5.3 - Prob. 6VRVCh. 5.3 - Prob. 7VRVCh. 5.3 - Prob. 8VRVCh. 5.3 - Prob. 9VRVCh. 5.3 - Prob. 10VRVCh. 5.3 - Prob. 1ECh. 5.3 - Prob. 2ECh. 5.3 - Prob. 3ECh. 5.3 - Write each sentence as a proportion. See Example...Ch. 5.3 - Write each sentence as a proportion. See Example...Ch. 5.3 - Write each sentence as a proportion. See Example...Ch. 5.3 - Prob. 7ECh. 5.3 - Prob. 8ECh. 5.3 - Prob. 9ECh. 5.3 - Prob. 10ECh. 5.3 - Prob. 11ECh. 5.3 - Prob. 12ECh. 5.3 - Prob. 13ECh. 5.3 - Prob. 14ECh. 5.3 - Prob. 15ECh. 5.3 - Determine whether each proportion is a true...Ch. 5.3 - Determine whether each proportion is a true...Ch. 5.3 - Determine whether each proportion is a true...Ch. 5.3 - Determine whether each proportion is a true...Ch. 5.3 - Prob. 20ECh. 5.3 - Prob. 21ECh. 5.3 - Determine whether each proportion is a true...Ch. 5.3 - Prob. 23ECh. 5.3 - Prob. 24ECh. 5.3 - Prob. 25ECh. 5.3 - Prob. 26ECh. 5.3 - Determine whether each proportion is a true...Ch. 5.3 - Determine whether each proportion is a true...Ch. 5.3 - Write each sentence as a proportion. Then...Ch. 5.3 - Prob. 30ECh. 5.3 - Prob. 31ECh. 5.3 - Prob. 32ECh. 5.3 - Prob. 33ECh. 5.3 - Prob. 34ECh. 5.3 - Prob. 35ECh. 5.3 - Prob. 36ECh. 5.3 - Prob. 37ECh. 5.3 - For each proportion, find the unknown number n.
Ch. 5.3 - For each proportion, find the unknown number n.
Ch. 5.3 - For each proportion, find the unknown number n.
Ch. 5.3 - Prob. 41ECh. 5.3 - Prob. 42ECh. 5.3 - Prob. 43ECh. 5.3 - Prob. 44ECh. 5.3 - Prob. 45ECh. 5.3 - Prob. 46ECh. 5.3 - For each proportion, find the unknown number n.
Ch. 5.3 - For each proportion, find the unknown number n.
Ch. 5.3 - For each proportion, find the unknown number n.
Ch. 5.3 - Prob. 50ECh. 5.3 - Prob. 51ECh. 5.3 - Prob. 52ECh. 5.3 - Prob. 53ECh. 5.3 - Prob. 54ECh. 5.3 - Prob. 55ECh. 5.3 - For each proportion, find the unknown number n.
Ch. 5.3 - For each proportion, find the unknown number n.
Ch. 5.3 - For each proportion, find the unknown number n.
Ch. 5.3 - For each proportion, find the unknown number n.
Ch. 5.3 - Prob. 60ECh. 5.3 - Prob. 61ECh. 5.3 - Insert < or > to form a true statement. See...Ch. 5.3 - Insert < or > to form a true statement. See...Ch. 5.3 - Insert < or > to form a true statement. See...Ch. 5.3 - Prob. 65ECh. 5.3 - Prob. 66ECh. 5.3 - Prob. 67ECh. 5.3 - Prob. 68ECh. 5.3 - Prob. 69ECh. 5.3 - Use the numbers in each proportion to write two...Ch. 5.3 - If the proportion is a true proportion, write two...Ch. 5.3 - Write a true proportion.
Ch. 5.3 - Prob. 73ECh. 5.3 - Prob. 74ECh. 5.3 - Prob. 75ECh. 5.3 - Prob. 76ECh. 5.3 - Prob. 77ECh. 5.3 - Prob. 78ECh. 5.3 - Prob. 79ECh. 5.3 - Prob. 80ECh. 5.3 - Prob. 81ECh. 5.3 - For each proportion, find the unknown number n.
Ch. 5.3 - For each proportion, find the unknown number n.
Ch. 5.3 - For each proportion, find the unknown number n.
Ch. 5.3 - Prob. 85ECh. 5.3 - Prob. 86ECh. 5.4 - Prob. 1PCh. 5.4 - Prob. 2PCh. 5.4 - Prob. 3PCh. 5.4 - An NBA basketball player averages 45 baskets for...Ch. 5.4 - Prob. 2ECh. 5.4 - It takes a word processor 30 minutes to word...Ch. 5.4 - It takes a word processor 30 minutes to word...Ch. 5.4 - Prob. 5ECh. 5.4 - Prob. 6ECh. 5.4 - Prob. 7ECh. 5.4 - Prob. 8ECh. 5.4 - Prob. 9ECh. 5.4 - Prob. 10ECh. 5.4 - Prob. 11ECh. 5.4 - Prob. 12ECh. 5.4 - Prob. 13ECh. 5.4 - Prob. 14ECh. 5.4 - Prob. 15ECh. 5.4 - Prob. 16ECh. 5.4 - Prob. 17ECh. 5.4 - Prob. 18ECh. 5.4 - Prob. 19ECh. 5.4 - Prob. 20ECh. 5.4 - Prob. 21ECh. 5.4 - Prob. 22ECh. 5.4 - Prob. 23ECh. 5.4 - Prob. 24ECh. 5.4 - Prob. 25ECh. 5.4 - Prob. 26ECh. 5.4 - Prob. 27ECh. 5.4 - Prob. 28ECh. 5.4 - Prob. 29ECh. 5.4 - Prob. 30ECh. 5.4 - Prob. 31ECh. 5.4 - Prob. 32ECh. 5.4 - A student would like to estimate the height of the...Ch. 5.4 - Prob. 35ECh. 5.4 - Prob. 36ECh. 5.4 - Prob. 37ECh. 5.4 - Prob. 38ECh. 5.4 - Prob. 39ECh. 5.4 - Prob. 40ECh. 5.4 - Prob. 41ECh. 5.4 - Prob. 42ECh. 5.4 - Prob. 43ECh. 5.4 - Prob. 44ECh. 5.4 - Prob. 45ECh. 5.4 - The gas/oil ratio for a certain tractor mower is...Ch. 5.4 - The adult daily dosage for a certain medicine is...Ch. 5.4 - Prob. 48ECh. 5.4 - Prob. 49ECh. 5.4 - Prob. 50ECh. 5.4 - Prob. 51ECh. 5.4 - Prob. 52ECh. 5.4 - Find the prime factorization of each number. See...Ch. 5.4 - Find the prime factorization of each number. See...Ch. 5.4 - Find the prime factorization of each number. See...Ch. 5.4 - Find the prime factorization of each number. See...Ch. 5.4 - Prob. 57ECh. 5.4 - Prob. 58ECh. 5.4 - Prob. 59ECh. 5.4 - Prob. 60ECh. 5.4 - Prob. 61ECh. 5.4 - Prob. 62ECh. 5.4 - Prob. 63ECh. 5.4 - A board such as the one pictured below will...Ch. 5 - Prob. 1IRCh. 5 - Write each ratio as a ratio of whole numbers using...Ch. 5 - Prob. 3IRCh. 5 - Prob. 4IRCh. 5 - Prob. 5IRCh. 5 - Prob. 6IRCh. 5 - Prob. 7IRCh. 5 - Prob. 8IRCh. 5 - Prob. 9IRCh. 5 - Write each ratio as a ratio of whole numbers using...Ch. 5 - Prob. 11IRCh. 5 - Prob. 12IRCh. 5 - Prob. 13IRCh. 5 - Prob. 14IRCh. 5 - Prob. 15IRCh. 5 - Prob. 16IRCh. 5 - Prob. 17IRCh. 5 - Prob. 18IRCh. 5 - Prob. 19IRCh. 5 - Prob. 20IRCh. 5 - Write each rate as a fraction in simplest...Ch. 5 - Write each rate as a fraction in simplest...Ch. 5 - Write each rate as a fraction in simplest form.
63...Ch. 5 - Write each rate as a fraction in simplest form.
85...Ch. 5 - Prob. 25IRCh. 5 - Prob. 26IRCh. 5 - Prob. 27IRCh. 5 - Prob. 28IRCh. 5 - Prob. 29IRCh. 5 - Write each unit price, rounded to the nearest...Ch. 5 - Write each unit price, rounded to the nearest...Ch. 5 - Write each unit price, rounded to the nearest...Ch. 5 - Prob. 1VCCh. 5 - Prob. 2VCCh. 5 - Prob. 3VCCh. 5 - Prob. 4VCCh. 5 - Prob. 5VCCh. 5 - Prob. 6VCCh. 5 - Prob. 7VCCh. 5 - Prob. 8VCCh. 5 - (5.1) Write each ratio as a fraction in simplest...Ch. 5 - (5.1) Write each ratio as a fraction in simplest...Ch. 5 - (5.1) Write each ratio as a fraction in simplest...Ch. 5 - Prob. 4RECh. 5 - Prob. 5RECh. 5 - Prob. 6RECh. 5 - Prob. 7RECh. 5 - Prob. 8RECh. 5 - Prob. 9RECh. 5 - Prob. 10RECh. 5 - Write each rate as a fraction in simplest form.
8...Ch. 5 - Write each rate as a fraction in simplest form.
6...Ch. 5 - Write each rate as a fraction in simplest form.
15...Ch. 5 - Prob. 14RECh. 5 - Prob. 15RECh. 5 - Prob. 16RECh. 5 - Prob. 17RECh. 5 - Prob. 18RECh. 5 - Prob. 19RECh. 5 - Prob. 20RECh. 5 - Prob. 21RECh. 5 - Find each unit price and decide which is the...Ch. 5 - Find each unit price and decide which is the...Ch. 5 - Find each unit price and decide which is the...Ch. 5 - Prob. 25RECh. 5 - Prob. 26RECh. 5 - Prob. 27RECh. 5 - Prob. 28RECh. 5 - Prob. 29RECh. 5 - Prob. 30RECh. 5 - Determine whether each proportion is true.
Ch. 5 - Determine whether each proportion is true.
Ch. 5 - Find the unknown number n in each proportion.
Ch. 5 - Prob. 34RECh. 5 - Prob. 35RECh. 5 - Prob. 36RECh. 5 - Prob. 37RECh. 5 - Prob. 38RECh. 5 - Prob. 39RECh. 5 - Find the unknown number n in each proportion.
Ch. 5 - Find the unknown number n in each proportion.
Ch. 5 - Find the unknown number n in each proportion.
Ch. 5 - Prob. 43RECh. 5 - Prob. 44RECh. 5 - Prob. 45RECh. 5 - Prob. 46RECh. 5 - Prob. 47RECh. 5 - One bag of pesticide covers 4000 square feet of...Ch. 5 - An owner of a Ford Escort can drive 420 miles on...Ch. 5 - Prob. 50RECh. 5 - Prob. 51RECh. 5 - Prob. 52RECh. 5 - Prob. 53RECh. 5 - Prob. 54RECh. 5 - Prob. 55RECh. 5 - Prob. 56RECh. 5 - Write each ratio as a fraction in simplest...Ch. 5 - Write each ratio as a fraction in simplest...Ch. 5 - Write each ratio as a fraction in simplest form.
3...Ch. 5 - Prob. 60RECh. 5 - Prob. 61RECh. 5 - Prob. 62RECh. 5 - Prob. 63RECh. 5 - Prob. 64RECh. 5 - Prob. 65RECh. 5 - Prob. 66RECh. 5 - Prob. 67RECh. 5 - Find each unit price and decide which is the...Ch. 5 - Write each sentence as a proportion.
2 cups of...Ch. 5 - Write each sentence as a proportion.
5 nickels is...Ch. 5 - Prob. 71RECh. 5 - Prob. 72RECh. 5 - Prob. 73RECh. 5 - Prob. 74RECh. 5 - Prob. 75RECh. 5 - Prob. 76RECh. 5 - Prob. 77RECh. 5 - Prob. 78RECh. 5 - An investment of $1200 yields $152 each year.
At...Ch. 5 - An investment of $1200 yields $152 each year.
At...Ch. 5 - Prob. 1TCh. 5 - Write each ratio or rate as a fraction in simplest...Ch. 5 - Write each ratio or rate as a fraction in simplest...Ch. 5 - Prob. 4TCh. 5 - Prob. 5TCh. 5 - Prob. 6TCh. 5 - Prob. 7TCh. 5 - Prob. 8TCh. 5 - Prob. 9TCh. 5 - Prob. 10TCh. 5 - Prob. 11TCh. 5 - Prob. 12TCh. 5 - Prob. 13TCh. 5 - Prob. 14TCh. 5 - Prob. 15TCh. 5 - Prob. 16TCh. 5 - Prob. 17TCh. 5 - Prob. 18TCh. 5 - Prob. 19TCh. 5 - Prob. 20TCh. 5 - Prob. 21TCh. 5 - Prob. 22TCh. 5 - Prob. 23TCh. 5 - Prob. 24TCh. 5 - Prob. 25TCh. 5 - Prob. 26TCh. 5 - Prob. 1CRCh. 5 - Prob. 2CRCh. 5 - Prob. 3CRCh. 5 - Prob. 4CRCh. 5 - Prob. 5CRCh. 5 - Prob. 6CRCh. 5 - Prob. 7CRCh. 5 - Prob. 8CRCh. 5 - Prob. 9CRCh. 5 - Prob. 10CRCh. 5 - Prob. 11CRCh. 5 - Prob. 12CRCh. 5 - Prob. 13CRCh. 5 - Prob. 14CRCh. 5 - Prob. 15CRCh. 5 - Prob. 16CRCh. 5 - Prob. 17CRCh. 5 - Prob. 18CRCh. 5 - Prob. 19CRCh. 5 - Prob. 20CRCh. 5 - Prob. 21CRCh. 5 - Prob. 22CRCh. 5 - Prob. 23CRCh. 5 - Prob. 24CRCh. 5 - Subtract:
Ch. 5 - Subtract:
Ch. 5 - Prob. 27CRCh. 5 - Prob. 28CRCh. 5 - Prob. 29CRCh. 5 - Prob. 30CRCh. 5 - Prob. 31CRCh. 5 - Prob. 32CRCh. 5 - Prob. 33CRCh. 5 - Write “seventy-five thousandths” in standard...Ch. 5 -
Round 736.2359 to the nearest tenth.
Ch. 5 - Round 736.2359 to the nearest thousandth.
Ch. 5 - Prob. 37CRCh. 5 - Prob. 38CRCh. 5 - Prob. 39CRCh. 5 - Prob. 40CRCh. 5 - Prob. 41CRCh. 5 - Prob. 42CRCh. 5 - Prob. 43CRCh. 5 - Find the unknown number n.
Ch. 5 - Write the numbers in order from smallest to...Ch. 5 - Write the rate as a unit rate. 700 meters in 5...Ch. 5 - Prob. 47CRCh. 5 - Prob. 48CRCh. 5 - Prob. 49CRCh. 5 - Prob. 50CR
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Math
ISBN:9780134683713
Author:Robert F. Blitzer
Publisher:PEARSON
Discrete Mathematics With Applications
Math
ISBN:9781337694193
Author:EPP, Susanna S.
Publisher:Cengage Learning,
Pathways To Math Literacy (looseleaf)
Math
ISBN:9781259985607
Author:David Sobecki Professor, Brian A. Mercer
Publisher:McGraw-Hill Education
Use of ALGEBRA in REAL LIFE; Author: Fast and Easy Maths !;https://www.youtube.com/watch?v=9_PbWFpvkDc;License: Standard YouTube License, CC-BY
Compound Interest Formula Explained, Investment, Monthly & Continuously, Word Problems, Algebra; Author: The Organic Chemistry Tutor;https://www.youtube.com/watch?v=P182Abv3fOk;License: Standard YouTube License, CC-BY
Applications of Algebra (Digit, Age, Work, Clock, Mixture and Rate Problems); Author: EngineerProf PH;https://www.youtube.com/watch?v=Y8aJ_wYCS2g;License: Standard YouTube License, CC-BY