Two accounts

Two accounts in the bank, one per year interest 2%, the second 3%. Total interest income 1900 USD. If interest rates were reversed, the yield would be USD 200 higher. What are the amounts on each account?

Correct answer:

a =  50000
b =  30000

Step-by-step explanation:


0.02a + 0.03b = 1900
0.03a + 0.02b = 1900+200

0.02•a + 0.03•b = 1900
0.03•a + 0.02•b = 1900+200

0.02a+0.03b = 1900
0.03a+0.02b = 2100

a = 49999.999999
b = 30000

Our linear equations calculator calculates it.



Did you find an error or inaccuracy? Feel free to write us. Thank you!



avatar




Tips to related online calculators
Our percentage calculator will help you quickly calculate various typical tasks with percentages.
Do you have a system of equations and looking for calculator system of linear equations?

Related math problems and questions:

  • Deposit
    penize Oh I total of $15,000 deposited into simple interest accounts the annual simple interest rate on one account at 6% the annual simple interest rate on the second account at 7% how much should be invested in each account so that the total interest earned is
  • Bank deposit
    bank Ms Jana after the withdraw amount of 2,500 euros after year saving in bank. What was her deposit if the interest rate was 2.5% p.a..
  • Mr. Vojta
    penize Mr. Vojta put in the bank 35000 Kč. After a year bank, he credited with an interest rate of 2% of the deposit amount. How then will Mr. Vojta in the bank?
  • Deposit 3
    interest_money After a year, Martin had on bank account € 2028. What was the interest rate when the initial deposit was € 1879?
  • A man 2
    penize A man divides $10,000 into two investments, one at 10% and the other at 30%. Find how much is invested at each rate so that the two investments produce the same income annually.
  • Simple interest 4
    coins-uk Find the simple interest if $x USD at $p% for $m days. Assume a $r-day year.
  • Compound interest
    bank Compound interest: Clara deposited CZK 100,000 in the bank with an annual interest rate of 1.5%. Both money and interest remain deposited in the bank. How many CZK will be in the bank after 3 years?
  • Compound interest 3
    exp_growth2 After 8 years, what is the total amount of a compound interest investment of $25,000 at 3% interest, compounded quarterly? (interest is now dream - in the year 2019)
  • When will I be a millionaire?
    milionar_kedy $name monthly send $money euros to the bank, which he deposits bear interest of $p% p. A. Calculate how many months must $name save to save $total euros? Inflation, interest rate changes, or bank failures ignore.
  • Repay, interest, loan
    repay Ramchacha takes a loan amount of 240000 from a bank for constructing a house at the rate of simple interest of 12% per annum. After 1 yr. of taking the loan he rents the house at the rate of 5200 per month. Determine the number of years he would take to r
  • Interst on savings
    ecb The bank offers 1.6% interest. How many euros have to insert at the beginning if we received € 15 on the interest?
  • Compound Interest
    exp_growth2 If you deposit $6000 in an account paying 6.5% annual interest compounded quarterly, how long until there is $12600 in the account?
  • Slow saving in banks
    penize How long will it take to save € 9,000 by depositing € 200 at the beginning of each year at 2% interest?
  • Deposit is pesos
    penize Sally deposits Php.22,000 in her savings account. If the bank pays 1.5% interest per year, how much will she receive at the end of the year?
  • Profitable bank deposit 2012
    eurocoins Calculate the value of what money lose creditor with a deposit € 9500 for 4 years if the entire duration is interest 2.6% p.a. and tax on interest is 19%. Annual inflation is 3.7% (Calculate what you will lose if you leave money lying idle at negative int
  • Bank
    money Paul put 10000 in the bank for 6 years. Calculate how much you will have in the bank if he not pick earned interest or change deposit conditions. The annual interest rate is 3.5%, and the tax on interest is 10%.
  • Semiannually compound interest
    bank2 If you deposit $5000 into an account paying 8.25% annual interest compounded semiannually, how long until there is $9350 in the account?