50.3k views
2 votes
The value of Kayla's investment can be modeled by the equation y = 2650(1.05) where z is the number of years invested and y is the value in dollars.Using the model, what will be the value of the investment after 25 years? Round your answer to the nearest dollar.A. $7,515OB. 58,974OC.59,164OD. 58,828

The value of Kayla's investment can be modeled by the equation y = 2650(1.05) where-example-1
User AaronR
by
9.6k points

1 Answer

4 votes

Solution:

Given the equation:


\begin{gathered} y=2650(1.05)^x \\ where \\ x\text{ is the number of years invested } \\ y\text{ is the value in dollars} \end{gathered}

To determine the value of the investment after 25 years, we have


\begin{gathered} y=2650(1.05)^(25) \\ =2650*(1.05)^(25) \\ =8973.84059 \\ \\ \Rightarrow y\approx\$8974\text{ \lparen nearest dollar\rparen} \end{gathered}

Hence, to the nearest dollar, we have the value of the investment to be


\$\text{8974}

The correct option is

User Duane
by
8.3k points
Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories