Simple Interest
Formula
I = PRT
I = PRT
• I = interest earned
(amount of money the
bank pays you)
• P = Principle amount invested or
borrowed.
• R = Interest Rate usually given as a
percent (must changed to decimal before
plugging it into formula)
• T = Time
(must be measured in years) or
converted to years by dividing by 12 months
Converting
•
1)
2)
3)
4)
Change % to decimal
12%
5%
2½%
8.5%
•
1)
2)
3)
4)
Answers
.12
.05
.025
.085
• Change from decimal to %
5) 9.8%
5) .098
6) 45.5%
6) .455
Move 2 places
to right & add % sign
Move 2 places
to left & drop % sign
I = PRT
Solve for one of variables:
• Solving for I
• Plug in numbers
for P, R, & T.
• Then multiply
• Solving for other
variables
• Plug in what you
know.
• Multiply the
numbers that are
on same side then
divide by that
answer.
A savings account is set up so that the simple interest earned on the
investment is moved into a separate account at the end of each year. If
an investment of $5,000 is invested at 4.5%, what is the total simple
interest accumulated in the checking account after 2 years.
1.
• I = PRT
•
• I= (5,000)(.045)(2)
•
• I=$450
•
Interest paid by bank
is unknown
Principle (invested)
Rate changed to
decimal
• Time is 2 years
• Multiply
A savings account is set up so that the simple interest earned on the
investment is moved into a separate account at the end of each year. If
an investment of $7,000 is invested at 7.5%, what is the total simple
interest accumulated in the checking account after 3 years.
2.
• I = PRT
•
• I= (7,000)(.075)(3)
•
• I=$1575
•
Interest paid by bank
is unknown
Principle (invested)
Rate changed to
decimal
• Time is 3 years
• Multiply
3. When invested at an annual interest rate of 6% an account
earned $180.00 of simple interest in one year. How much
money was originally invested in account?
• I = PRT
• 180= P (.06) (1)
• 180 = .06P
.06
.06
3,000 = P
• Interest paid by
bank
• Principle (invested)
is unknown
• Rate changed to
decimal
• Time is 1 year
• Multiply
• Divide
4. When invested at an annual interest rate of 7% an account
earned $581.00 of simple interest in one year. How much
money was originally invested in account?
• I = PRT
• 581= P (.07) (1)
• 581 = .07P
.07
.07
$8,300 =P
• Interest paid by
bank
• Principle (invested)
is unknown
• Rate changed to
decimal
• Time is 1 year
• Multiply
• Divide
A savings account is set up so that the simple interest earned on
the investment is moved into a separate account at the end of each
year. If an investment of $7,000 accumulate $910 of interest in the
account after 2 years, what was the annual simple interest rate on
the savings account?
5.
• I = PRT
• 910=(7,000)(R)(2)
• 910 = (7,000)(2)R
• 910 = 14,000 R
14,000 14,000
0.065 = R
6.5% = R
•
•
•
•
•
•
•
Interest paid by bank
Principle (invested)
Rate is unknown
Time is 2 years
Regroup & Multiply
Divide
Change to %
A savings account is set up so that the simple interest earned on
the investment is moved into a separate account at the end of each
year. If an investment of $2,000 accumulate $360 of interest in the
account after 4 years, what was the annual simple interest rate on
the savings account?
6.
•
•
•
•
I = PRT
360=(2,000)(R)(4)
360 = (2,000)(4)R
360 = 8,000 R
8,000 8,000
0.045 = R
4.5% = R
•
•
•
•
•
•
•
Interest paid by bank
Principle (invested)
Rate is unknown
Time is 4 years
Regroup & Multiply
Divide
Change to %
7. Sylvia bought a 6-month $1900 certificate of deposit. At the end
of 6 months, she received a $209 simple interest. What rate of
interest did the certificate pay?
• I=PRT
209= 1900(R) (6/12)
209=(1900)(6/12)R
209=950R
950 950
0.22 = R
22% = R
• Interest paid by
bank
• Principle (invested)
• Rate is unknown
• Time is 6 months
(divide by 12)
• Regroup & Multiply
• Divide
• Change to %
8. An investment earns 4.5% simple interest in one year. If
the money is withdrawn before the year is up, the interest is
prorated so that a proportional amount of the interest is paid
out. If $2400 is invested, what is the total amount that can
be withdrawn when the account is closed out after 2 months?
• Interest paid by
bank - Unknown
•I= (2400)(.045)(2/12)
• Principle (invested)
I=$18
• Rate is .045
• Time is 2 months
$18 + $2400 = $2418
(divide by 12)
• Multiply
•I=PRT
$2418 will be withdrawn
• Now, since the money
is being withdrawn,
add the interest to the
principal.
Practice:
• Simple Interest: Use simple interest
to find the ending balance
– Questions 1-10
•Simple Interest
Practice Pt 2
If you have $50 in savings for one year at
an interest rate of 6 percent, how much
interest will you earn at the end of the
year?
a. $5
b. $4
c. $3
d. $2
If you have $50 in savings for one year at
an interest rate of 6 percent, how much
interest will you earn at the end of the
year?
a. $5
b. $4
c. $3
d. $2
• When invested at an annual interest rate of 10% an
account earned $180.00 of simple interest in one
year. How much money was originally invested in
account?
• A savings account is set up so that the simple
interest earned on the investment is moved into a
separate account at the end of each year. If an
investment of $8,000 accumulate $910 of interest in
the account after 2 years, what was the annual
simple interest rate on the savings account?
• An investment earns 4.5% simple interest in one
year. If the money is withdrawn before the year is
up, the interest is prorated so that a proportional
amount of the interest is paid out. If $1400 is
invested, what is the total amount that can be
withdrawn when the account is closed out after 2
months?
Assignment
• http://www.math-play.com/SimpleInterest/Simple-Interest.html
– You will show me your score for a quiz
grade (work quietly)
•90 Second Speech
Presentations
• Richard deposited $2000 in the bank for
108 months at 2% interest per annum.
Find the simple interest he should receive
at the end?
• Joanne invested $18600 in the bank for 9
years at 6% simple interest per annum.
Find the total amount she should get
back at the end?
• Danny borrowed from a friend a sum of
$10300 at 14% simple interest. he
returned the amount after 48 months.
How much he returned to clear the debt?
• Lawrence deposited $11900 in the bank
which gave interest 16%. What amount
will he receive after 8 years and 9
months?
Assignment
• Additional Practice
– Simple Interest Worksheets
In-Class
• Review Jeopardy
– https://jeopardylabs.com/play/simpleinterest