100.000 x 1/〖(1+.06)〗^20

Set up expression: Understand the problem and set up the expression. We need to calculate the value of 100,000 multiplied by the reciprocal of (1 + 0.06) raised to the power of 20. This is a present value calculation in finance, often used to determine the present value of a future sum of money. Expression: 100,000 * 1/(1 + 0.06)^20Simplify inside parentheses: Simplify the expression inside the parentheses. Calculate the value inside the parentheses, which is 1 + 0.06. 1 + 0.06 = 1.06 Now the expression is 100,000 * 1/1.06^20Calculate denominator: Calculate the denominator, which is 1.06 raised to the power of 20. Using a calculator, we find that 1.06^20 ≈ 3.207135472. Now the expression is 100,000 * 1/3.207135472Divide for multiplier: Divide 1 by the value obtained in Step 3. Divide 1 by 3.207135472 to get the multiplier for 100,000. 1 / 3.207135472 ≈ 0.311804782Multiply for final answer: Multiply 100,000 by the value obtained in Step 4. Multiply 100,000 by 0.311804782 to get the final answer. 100,000 * 0.311804782 ≈ 31,180.4782

Resources

Testimonials

Plans

Resources

Testimonials

Plans

AI tutor

Welcome to Bytelearn!

Let’s check out your problem:

$100.000 \times \frac{1}{(1+.06)^{20}}$

View step-by-step help

Home

Math Problems

Algebra 1

Factor quadratics: special cases

Full solution

100.000 \times \frac{1}{(1+.06)^{20}}

Set up expression: Understand the problem and set up the expression. $\newline$ We need to calculate the value of $100,000$ multiplied by the reciprocal of $(1 + 0.06)$ raised to the power of $20$ . This is a present value calculation in finance, often used to determine the present value of a future sum of money. $\newline$ Expression: $100,000 \times \frac{1}{(1 + 0.06)^{20}}$
Simplify inside parentheses: Simplify the expression inside the parentheses. $\newline$ Calculate the value inside the parentheses, which is $1 + 0.06$ . $\newline$ $1 + 0.06 = 1.06$ $\newline$ Now the expression is $100,000 \times \frac{1}{1.06^{20}}$
Calculate denominator: Calculate the denominator, which is $1.06$ raised to the power of $20$ . Using a calculator, we find that $1.06^{20} \approx 3.207135472$ . Now the expression is $100,000 \times \frac{1}{3.207135472}$
Divide for multiplier: Divide $1$ by the value obtained in Step $3$ . $\newline$ Divide $1$ by $3.207135472$ to get the multiplier for $100,000$ . $\newline$ $1 / 3.207135472 \approx 0.311804782$
Multiply for final answer: Multiply $100,000$ by the value obtained in Step $4$ . $\newline$ Multiply $100,000$ by $0.311804782$ to get the final answer. $\newline$ $100,000 \times 0.311804782 \approx 31,180.4782$