ILOCOS SUR POLYTECHNIC STATE COLLEGE
COLLEGE OF BUSINESS MANAGEMENT
NORTH CLUSTER
STA. MARIA, ILOCOS SUR
IN PARTIAL FULLFILLMENT
TO THE REQUIREMENTS
OF THE SUBJECT
BUSINESS MATH
PRESENTED BY:
MONICA D. APALLA
BSHRM 1A
PRESENTED TO:
MR. MARVIN GALCON
SUBJECT INSTRUCTOR
PROBLEM SOLVING INVOLVING INTEREST
1. You put $1000 into an investment yielding 6% annual interest; you left the money in for two years. How much interest do you get at the end of those two years?
Given:
P = $1000
r = 0.06 (because I have to convert the percent to decimal form)
t = 2
Find: I
Solution:
I = Prt
I = (1000) (0.06) (2)
I= 120
2. You invested $500 and received $650 after three years. What had been the interest rate?
Given:
P = $500
I = $650 – 500 = $150
t = 3
Solution:
I=Prt
150 = (500) (r) (3) 150 = 1500r 150/1500 = r = 0.10
3. You have $50,000 to invest, and two funds that you'd like to invest in. The You-Risk-It Fund (Fund Y) yields 14% interest. The Extra-Dull Fund (Fund X) yields 6% interest. Because of college financial-aid implications, you don't think you can afford to earn more than $4,500 in interest income this year. How much should you put in each fund?
The problem here comes from the fact that I'm splitting that $50,000 in principal into two smaller amounts:
|I |P |r |t | |Fund X |? |? |0.06 |1 | |Fund Y |? |? |0.14 |1 | |total |4,500 |50,000 |--- |--- | |* The amount in Fund Y is (the total) less or 50,000 – x.
|I |P |r |t | |Fund X |? |x |0.06 |1 | |Fund Y |? |50,000 – x |0.14 |1 | |total |4,500 |50,000 |--- |--- | |* I can now multiply across (right to left) and fill in the "interest" column.
|I |P |r |t | |Fund X |0.06x |x |0.06 |1 | |Fund Y |0.14(50,000 – x) |50,000 – x |0.14 |1 | |total