Mathematic word problems.?
A professor found that he needed more than $2,500 per year return on his investments to live comfortably in retirement. If he invested $10,000 at 7%, how much must he invest at 9% to attain his goal?
Ken has just got a job offer and been commuting 60 miles to and from work. Returning home one evening, he increased his average speed 9 miles per hour above the rate on the way to work. This increase in miles per hour reduced his return time by 20 minutes. What was his average speed going to work and returning home?
Favorite Answer
Set up a box – chart to solve the second question. Make a 3×3 grid and label the top with Investing Amount, Interest Rate, Interest Amount. Label the left side column with Account 1, Account 2, Total. In this grid, the rows multiply ( IA * IR = IA) and the columns add (Act 1 + Act 2 = Total)! Try it, it can be fun 🙂
You can complete the third one using a chart like in the second. For the third use Rate * Time = Distance along the top, and Before Increase, After Increase along the left side. You will get two equations and can use Substitution (or Elimination) to solve them.
p=profit x=number of vice presidents
to find the number of vice presidents to maximize the company’s profit,
using calculus: dp/dx=10x-30
10x-30=0
x=3 vice presidents
Without Calculus,
evaluate 5x^2-30 for x=1,2,3,4,etc and find when it reaches maximum
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