Question

Don opened a retirement account with an APR of 3.25% compounded monthly. He is planning to retire in 15 years. About how much will he have in the account when he retires if he deposits $750 a month? Include your work as best as possible. *

Answer 1

Answer:

Let the consecutive numbers be x and x+1

given

(x+1)^2=19+9x

x^2+2x+1=19+9x

like terms together

x^2+2x-9x+1-19=0

x^2-7x-18=0

factorize the quadratic equation to get the value of x

(x-9)(x+2)=0

x=9 and x=-2

we reject the second option

the answer is x=9 and x=9+1=10

x=9 and x=10

Thank you!

Step-by-step explanation: