SOLUTION: Annika invested in a plan that has an APR of 4%. She invested in a 9% APR account $2300 more than she invested in the 4% account. If the total interest from the investments after 1

Algebra.Com
Question 359649: Annika invested in a plan that has an APR of 4%. She invested in a 9% APR account $2300 more than she invested in the 4% account. If the total interest from the investments after 1 year is $2677, then what is the total amount that she invested?
Answer by stanbon(75887)   (Show Source): You can put this solution on YOUR website!
Annika invested in a plan that has an APR of 4%. She invested in a 9% APR account $2300 more than she invested in the 4% account. If the total interest from the investments after 1 year is $2677, then what is the total amount that she invested?
----
Equations:
Interest Eq:
interest + interest = interest
0.04x + 0.09(x+2300) = 2677
Multiply thru by 100
----
4x + 9x + 9*2300 = 267700
13x = 247000
x = $19000 (amt. invested at 4%)
x+2300 = $21300 (amt. invested at 9%)
-----------------------------------------
Cheers,
Stan H.

RELATED QUESTIONS

A renowned mathematician received a ​$40000 bonus to accept a tenured... (answered by solver91311)
Hello, I have a question I need help with. Your time is appreciated. Deloris invests in (answered by Alan3354)
Ivy has two investments totaling $13,000. Plan A has an APR of 4% and Plan B has an APR... (answered by mananth)
Deon invests in an account that has an ARP of 2.5%. He invests in a 3.5% APR account $400 (answered by stanbon,checkley71)
kate invested $800 in a simple interest account with 6% apr. after how many years she... (answered by josmiceli)
Suppose that $2600 is initially invested in an account with an APR of 3.3% compounded... (answered by stanbon)
$8000 invested at an APR of 2.9% for 12 years.What is the balance in the account after 12 (answered by Fombitz)
Suppose that $2600 is initially invested in an account with an APR of 3.3% compounded... (answered by fractalier)
Suppose that $2600 is initially invested in an account with an APR of 3.3% compounded... (answered by fractalier)