 # SECTION 5-6 Compound Interest Tables pp. 214-213.

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SECTION 5-6 Compound Interest Tables pp

Section Objective Find: compound interest using tables

Formula 1 Amount = Original Principal × Amount of \$1.00

Formula 2 Compound Interest = Amount – Original Principal

Understanding the Williams Sisters
p. 211 In your own words, how do you read a chart in order to find the information you need?

Example 1 State Bank pays 6 percent interest compounded quarterly on regular savings accounts. You deposited \$3,000 for 2 years. You made no deposits or withdrawals. How much interest did you earn in 2 years? (Note: Use the Compound table on page 797 of your textbook to solve this problem.)

Example 1 Answer: Step 1 Find the total interest periods.
Periods per Year × Number of Years 4 quarters per year × 2 years = 8 periods

Example 1 Answer: Step 2 Find the interest rate per period.
Periods per Year × Number of Years Annual Rate ÷ Number of Periods per Year 6% ÷ 4 = 1.5%

Example 1 Answer: Step 3 Find the amount for 8 periods at 1.5 percent per period using the Compound Interest—Amount of \$1.00 table on page 797 of your textbook. It is

Example 1 Answer: Step 4 Find the amount.
Original Principal × Amount of \$1.00 \$3, × = \$3,379.47

Example 1 Answer: Step 5 Find the compound interest.
Amount – Original Principal \$3, – \$3, = \$379.47

Example 2 Juan Lopez opens an account and deposits \$4, The account pays 6 percent annual interest and compounds quarterly. Six months later he deposits \$2,000. How much will he have in the account in 1½ years if he continues to pay 6 percent interest compounded quarterly?

Example 2 Answer: Step 1 Find the total interest periods for first 6 months. Periods per Year × Number of Years 4 quarters per year × ½ year = 2 periods

Example 2 Answer: Step 2 Find the interest rate per period.
Annual Rate ÷ Number of Periods per Year 6% ÷ 4 = 1.5%

Example 2 Answer: Step 3 Find the amount of \$1.00 for 2 periods at 1.5 percent per period using the Compound Interest—Amount of \$1.00 table on page 797. It is

Example 2 Answer: Step 4 Find the amount for 6 months.
Original Principal × Amount of \$1.00 \$4, × = \$4, (new principal)

Example 2 Answer: Step 5 Find the amount for 1.5 years.
Periods per Year × Number of Years 4 quarters per year × 1.5 years = 6 periods

Example 2 Answer: Step 6 Find the amount of \$1.00 for 6 periods at 1.5 percent per paid using the Compound Interest—Amount of \$1.00 table on page 797. It is

Example 2 Answer: Step 7 Find the amount for 1.5 years.
New Principal × Amount of \$1.00 (\$4, \$2,000.00) × = \$6, × = \$7,120.33

Practice 1 \$8,240 invested at 5.75 percent compounded semiannually for 3 years. No additional deposits or withdrawals. Find the amount.

Practice 2 \$1,900 invested at 6.25 percent compounded semiannually for 5 years. No additional deposits or withdrawals. Find the amount. How much interest did the money earn in 5 years?

Practice 2 Answer \$1,900 invested at 6.25 percent compounded semiannually for 5 years: \$2,584.61 Interest earned in 5 years: \$684.61

END OF SECTION 5-6 Compound Interest Tables