College Algebra-.pdf

# College Algebra-.pdf - =(1[1(1 1(1 1 How much will you have...

• 7

This preview shows pages 1–4. Sign up to view the full content.

𝐶(?) = 𝑃 (1 + ? ? ) 𝑛 [1 − (1 + ? ? ) 𝑛𝑡 ] 1 − (1 + ? ? ) 𝑛 1. How much will you have accumulated over a period of 35 years if, in an IRA which has a 8% interest rate compounded monthly, you annually invest: a. \$1 Data P=\$1 r=0.08 t=35 years n=1 𝐶(?) = 1 ∗ (1 + 0.08 1 ) 1 [1 − (1 + 0.08 1 ) 1∗35 ] 1 − (1 + 0.08 1 ) 1 = \$186.102 b. \$1,000 Data P=\$1,000 r=0.08 t=35 years n=1 𝐶(?) = 1,000 ∗ (1 + 0.08 1 ) 1 [1 − (1 + 0.08 1 ) 1∗35 ] 1 − (1 + 0.08 1 ) 1 = \$186102.15 c. \$4,500 Data P=\$4,500 r=0.08 t=35 years n=1 𝐶(?) = 4,500 ∗ (1 + 0.08 1 ) 1 [1 − (1 + 0.08 1 ) 1∗35 ] 1 − (1 + 0.08 1 ) 1 = \$837459.67 d. Part (a) is called the effective yield of an account. How could Part (a) be used to determine Parts (b) and (c)? (Your answer should be in complete sentences free of grammar, spelling, and punctuation mistakes.) Part b) can be obtained multiplying the results of Part a) by 1000, and Part c) can be obtained multiplying this result by 4,500.

This preview has intentionally blurred sections. Sign up to view the full version.