Financial Math Answers

What percentage of $320.80 is $111.28

$500 is deposited in an account which bears 12%p.a interest compound monthly. Use the compound interest formula to find the number of years it would take to accumulate $500 to $806.11

Prince wants to open a Hair Salon and asks his uncle Lerumo if he wil l lend him the money. He also indicates that he wil l only be able to start paying him back after five years, at which time he wil l then pay R35 000 at the end of every four months, for four years. Uncle Lerumo agrees, on condition that his money must earn 12,2% interest per year,compounded every four months

1.The present value of Prin e's debt when he starts paying ba k un le Lerumo after 5 years will be?

2.The amount that Unc le Lerumo lends Prince is?

The present value of an annuity is R62 543,42. The time under Consideration is 10 years and the applicable interest rate is 16% per year, compounded monthly. The future value of this annuity is

1. R162 612,89.

2. R1 333 517,61.

3. R306 521,61.

4. R581 913,00.

The Boxing Fund must pay Daniel an old boxer, R18 000 every three months indenitely compensation.

Money is worth 11,4% per year,

ompounded quarterly.

1. What is the opening balance on this investment fund?

Sarah's gas meter readings were 5,003 CCF last month and 5,014 CCF this month. Her natural gas supplier charges $1.72 per CCF. What is her total natural gas bill for the month?

Your parents set up a trust fund for you 10 years ago that is now worth R19 671,51. If the fund earned 7% per year, how much did your parents invest?

An account pays interest at a nominal rate of 11% .Find the effecrive annual yield if interest is compounded monthly?

A couple of FEB’s 3rd year students decided to make some money by offering tutorial class to their juniors in first and second year. The seniors rented a room for RM300 for 3 hours from the faculty, and developed tutorial module for a few courses. The cost of printing the module handouts is RM5 each, and the tutor is paid RM25 per hour, for a total of RM75 for each tutorial session.

a. If students (junior) are charged RM20 per pax to attend the tutorial session, how many of them must enroll for the 3rd year students to break even?

b. If students (junior) are charged RM17 per pax to attend the tutorial session, how many of them must enroll for the 3rd year students to not having a loss?

c. A smaller room is available at the faculty for RM200 for 3 hours. The 3rd year students are considering this possibility. How would this affect the break even point? Use RM20 per pax as tutorial fee.

   You are given the following data for the year 2016 of XYZ Co. Limited

Variable cost              600,000

Fixed cost                  300000

Net profit                   100,000

1000,000

Required, Find out:

a)    Break-even point

b)    P/V ratio

c)    Margin of safety

d) Draw a break even chart showing contribution