Problem Name

Problem Description

Notes

business_math_1

New parents want to put a lump sum into a money market fund to provide $30,000 in 18 years, to help pay for college tuition for their child. If the fund averages 10% per year compounded monthly, how much should they invest?

business_math_2

A man can sell his Thrifty Electronics business for $800,000 cash or for $100,000 plus $122,000 at the end of each year for 9 years. Find the present value of the annuity that is offered if money is worth 10% compounded annually.

business_math_3

The demand function for a manufacturer’s product is given by

where p is the price (in dollars) per unit when q units are demanded. Find the level of production that maximizes the manufacturer’s total revenue and determine this revenue.

business_math_4

Find the marginal and average functions for each of the following total functions:
(a)
(b)
where TR is the total revenue, TC is the total cost, and Q is the quantity.

business_math_5

A trust manager has $400,000 to be invested in three different accounts. The accounts pay 8%, 10%, and 12%, and the goal is to earn $42,400 with a minimum risk. To solve this problem, assume that x dollars are invested at 8%, y dollars are invested at 10%, and z dollars are invested at 12%.
(a) Write a system of two equations in three variables to represent the problem.
(b) How much can be invested in each account with the largest possible amount invested at 8%?

business_math_6

If represents the price (in dollars) of a new car and the manufacturer gives a $2,000 rebate, express the actual cost of the car in terms of .

business_math_7

Peter buys three tacos from Taco City. He gives the waiter $5.00 and gets $2.15 change. How much is one taco?

business_math_8

Samuel goes to the store and buys five videotapes and seven rolls of film. He pays $30.95. If each videotape cost $3.25, how much is a roll of film?

business_math_9

A stock dividend is distributed among shareholders in the ratio of shares held. If Tom, Robert, and Sally have 500, 350, and 200 shares, respectively, and their combined dividend is $5,250, how much of the dividend does each receive?

business_math_10

A family budget allocates money for food, housing, and entertainment in the ratio 4:9:1. If the total amount of money allocated for these expenses is $22,750, how much is to be spent on each item?