# mat h

ms. buxx invested a total of \$2000 in two savings accounts. The first account pays 3% interest per year and the second account pays 5% interest per yera. If the interest from both accounts totals \$84 per yera, how much is invested in each account?

1. 👍
2. 👎
3. 👁
1. x = amt at 3%
y = amt at 5%

x + y = 2000
.03x + .05y = 84

solve simultaneously for x, y

give it a try, post if you need for help
x = 800, y = 1200 if you are right

1. 👍
2. 👎
2. the answer is the first account has 800 and the second account has 1200

1. 👍
2. 👎
3. I need the steps to this equation

1. 👍
2. 👎
4. x+y=2000
.03x+.05y=84

x+y=2000
-x -x
y=-x+2000 y=-(800)+2000

.03x+.05(-x+2000)=84 y=1200
.03x+ -.05x +100=84
-.02x+100=84
-100 -100
-.02x=-16
-----------
-.02x
x= 800

1. 👍
2. 👎

## Similar Questions

1. ### Maths

On the 1st of January 2014, Carol invested some money in a bank account. The account pays 2.5% compound interest per year. On the 1st of January 2015, Carol withdrew £1000 from the account. On the 1st of January 2016, she had

2. ### I NEED HELP :(

Mr. Malone is putting money in two savings accounts. Account A started with \$200 and Account B started with \$300. Mr. Malone deposits \$15 in Account A and \$10 in Account B each month. In how many months will the accounts have the

3. ### math

Money is invested in a savings account at 3.4% simple interest. After 1 year, there is \$1695.76 in the account. How much was originally invested?

4. ### Algebra( check my answers)

1. Juan deposited \$200 in a savings account earning 3% interest over 2 years. What was the total amount of interest earned after 2 years? \$12 \$24 \$120 ( my answer) \$240 2. Mary borrowed \$11,000 at 5% interest for 4 years. What was

1. ### math please break it down

Your gross income is \$4,520.00/month. Your deductions are FICA (7.65%),federal tax withholding (11.75%), and state tax withholding (8.5%). Your fixed expenses are 30% of your realized income. You saved 5 months' worth in an

2. ### pre-algebra

You split \$1500 between two savings accounts. Account A pays annual 5% interest and Account B pays 4% annual interest. After one year,you have earned a total of \$69.50 in interest. How much money did you invest in each account?

3. ### uga

Peter has money in two savings accounts. One rate is 9% and the other is 11%. If he has \$200 more in the 11% account and the total interest is \$68, how much is invested in each savings account?

4. ### algebra

Solve the problem. Helen Weller invested \$15,000 in an account that pays 12% simple interest. How much additional money must be invested in an account that pays 15% simple interest so that the total interest is equal to the

1. ### algebra

Mary has a total of \$5000 invested in two accounts. One account pays 5% and the other 8%. Her interest in the first year was \$331. Write and solve a system of equations to find out how much she has invested in both accounts

2. ### Math

System Of Elimination: Greg invested \$11,000 in two accounts. The first account pays 5% interest per year. The second account pays 8% interest per year. Greg earned a total of \$752.50 in interest at the end of the first year. How

3. ### math

Suppose you deposit \$275.00 in your savings account on December 31. Your bank pays 3 percent annual interest on savings accounts. If you do not deposit any more money into the account, what would be the balance on December 31 of

4. ### mathematics

Three sisters pay money into a joint savings account. Rachel pays in every 9 days, Sarah pays in every 12 days and Tess pays in every 16 days. If they all pay into the account on 1 March, what is the next date on which they will