Explore Westonci.ca, the leading Q&A site where experts provide accurate and helpful answers to all your questions. Explore a wealth of knowledge from professionals across different disciplines on our comprehensive platform. Explore comprehensive solutions to your questions from knowledgeable professionals across various fields on our platform.

help Emma is going to invest in an account paying an interest rate of 2.6% compounded quarterly. How much would Emma need to invest, to the nearest cent, for the value of the account to reach $66,000 in 7 years?

Sagot :

Emma needs to invest $55,050.14.

Compound interest

Given that Emma is going to invest in an account paying an interest rate of 2.6% compounded quarterly, to determine how much would Emma need to invest, to the nearest cent, for the value of the account to reach $66,000 in 7 years, you should perform the following calculation:

  • Principal amount x (1 + rate / number of annual compositions)^(years x number of annual compositions) = Interest
  • X x (1 + 0.026/4)^(7x4) = 66000
  • x x (1 + 0.0065)^28 = 66000
  • x x 1.0065^28 = 66000
  • x x 1.198907 = 66000
  • X = 66000 / 1.198907
  • X = 55050.14

Therefore, Emma needs to invest $55,050.14.

Learn more about compound interest in https://brainly.com/question/7420113

Answer:

$55,050.10

Step-by-step explanation:

that's the real answer