Have out: U3D7 Bellwork: total: Assignment, pencil, red pen, highlighter, textbook, GP notebook, calculator U3D7 Bellwork: Juanita invested $500 in an account that earns 6.75% annual interest compounded annually. a) Write the rule A(t) that will represent the amount of money in t years. b) How much money will she have in 30 years? c) When will she have over $5000 in the account? Round to the nearest year. total:

Bellwork: Juanita invested $500 in an account that earns 6.75% annual interest compounded annually. a) Write the rule A(t) that will represent the amount of money in t years. multiplier: = 100% + 6.75% A(t) = 500(1.0675)t = 106.75% +1 +1 +1 = 1.0675 b) How much money will she have in 30 years? +1 A(30) = 500(1.0675)30 She will have $3548.19 in the account after 30 years. A(30)  $3548.19 +1 +1 c) When will she have over $5000 in the account? Round to the nearest year. 5000 = 500(1.0675)t +1 total: t  36 years +1 She will have $5000 in about 36 years. +1

Fill in your worksheet: What does mean? Consider: How would you simplify it? What does the “3” mean? “What number times itself is 49?” Let’s start with . This means ______________________________ We know ___  ___ = 49. Therefore, 7 7 7 Another way of writing is ____. We call it the ____________. square root We call : __________, : __________, : __________, etc cube root fourth root fifth root means ______________________________________ “What number times itself times itself is 64?” 4 4 ___  ___  ___ = 64. Therefore, 4 4

Part 1: Practice: Rewrite without the fractional exponent. Square ________ each side of the equation. ( )2 _____________ each side. Square root Verify using your calculator! Therefore ____ = ____ Practice: Rewrite each without the fractional exponent. Write the following roots as fractional exponents.

Part 2: Practice: Rewrite without the fractional exponent. Cube ________ each side of the equation. ( )3 General Rule: _____________ each side. Cube root Therefore ____ = ____ Practice: Rewrite each without the fractional exponent.

More practice: Rewrite the following roots as fractional exponents.

Part 3: Simplify each expression. Step #1: Rewrite the base using _______________. exponents Multiply Step #2: __________ the exponents. Step #3: ____________. Simplify a) b) c) d)

Part 4: Solve the equation using fractional exponents. Step #1: Raise each side of the equation to the _______________ exponent. reciprocal Simplify Step #2: __________ the exponents. Step #3: _________. Solve

Practice: Solve for x. a) b)

Finish today's assignment: worksheet, FX 79 - 86