IDNLearn.com is designed to help you find reliable answers to any question you have. Our platform offers reliable and detailed answers, ensuring you have the information you need.

Suppose you invest $1000 in a savings account that pays 5% annual interest. If you make no additional deposits or withdrawals, how many years will it take for the account to grow to at least $1500? (Hint: graph the equation in Desmos and find the point where the account contains $1500)

Sagot :

The number of years it will it take for the account to grow to at least $1500 is 4

What is simple interest?

The formula for simple interest is given as:

A = P ( 1 + rt)

Where:

  • A is the final amount = $1500
  • P is the principal amount = $ 1000
  • r is the annual interest rate = 5%
  • t is the time taken = unknown

Substitute the values

1500 = 1000 ( 1 + 5t)

Divide both sides by 1000

1500/ 1000 = 1 + 5t

1. 5 = 1 + 5t

collect like terms

1. 5 - 1 = 5t

0. 5 = 5t

Make 't' the subject of formula

t = 5/ 0. 5

t = 10 years

Thus, the number of years it will it take for the account to grow to at least $1500 is 4

Learn more about simple interest here:

https://brainly.com/question/20690803

#SPJ1