1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Black_prince [1.1K]
2 years ago
7

George earned a total of $342 in simple interest from two separate accounts. In an account earning 5% interest, George invested

$1800 more than twice the amount he invested in an account earning 2%. How much did he invest in each account?
Mathematics
1 answer:
Maslowich2 years ago
4 0

Answer: he invested $6000 in the account earning 5% interest and $2100 in the other account earning 2% interest

Step-by-step explanation:

Let x represent the amount invested in the account earning 5% interest.

Let y represent the amount invested in the account earning 2% interest.

In an account earning 5% interest, George invested $1800 more than twice the amount he invested in an account earning 2%. It means that

x = 2y + 1800

The formula for simple interest is expressed as

I = PRT/100

Where

P represents the principal

R represents interest rate

T represents time in years

I = interest after t years

Assuming the duration for both investments is 1 year,

The interest on the first account would be

I = (x × 5 × 1)/100 = 0.05x

The interest on the second account would be

I = (y × 2 × 1)/100 = 0.02y

George earned a total of $342 in simple interest from two separate accounts. This means that

0.05x + 0.02y = 342 - - - - - - - - - - 1

Substituting x = 2y + 1800 into equation 1, it becomes

0.05(2y + 1800) + 0.02y = 342

0.1y + 90 + 0.02y = 342

0.1y + 0.02y = 342 - 90

0.12y = 252

y = 252/0.12 = 2100

x = 2y + 1800 = 2 × 2100 + 1800 = $6000

You might be interested in
Solve for X.<br><br> should be a decimal.
lianna [129]

Answer:

Okay so, we know that Theta =10°

Opposite=7ft

Adjacent= x ft

And then

Tan 10=7/x

Hence

X=7/tan10

X=39.69897 39. 7 ft

I Hope that i explained well

6 0
3 years ago
Which set of values could be from a direct proportion?
docker41 [41]

Answer:

The second option

Step-by-step explanation:

The second option because it is the one in which if you multiply f4 to the values of x, you would get y.

And that is why it is the second option.

8 0
3 years ago
1. What is the slope and y-intercept of y=-3x - 2?
Nadya [2.5K]

Answer: The equation is y=mx+b where m is the slope and b is the intercept, so for your problem slope is 3 and the intercept is -2

Step-by-step explanation:

6 0
3 years ago
What would the proportion be for #20 and #21<br><br> Thx :)
ikadub [295]
8 x 12 (15) = 120x180

71.25*3=3.75 = 3 1/4 inches
8 0
2 years ago
Write a fraction that is less than 5:6 and has a denominator of 8
PIT_PIT [208]
1/8 is the answer to the problem
                                                             
7 0
3 years ago
Read 2 more answers
Other questions:
  • A ship traveled for 4 hours heading east and for 3 hours heading north. If the total distance traveled was 149 miles, and the sh
    10·1 answer
  • I need help figuring out how 3(3) + 18 divided by 3(3) = 27
    5·1 answer
  • Find the Volume of the following shape.
    7·1 answer
  • Help me answer this please and thanks
    10·2 answers
  • Find the value of this expression 2 and 3 square + 17-3×4
    13·1 answer
  • 2 Points
    5·1 answer
  • People leaving the library were asked how many books they checked out that
    15·1 answer
  • Please answer this correctly
    12·1 answer
  • <img src="https://tex.z-dn.net/?f=x%2By%3D-9%5C%5C%20x%2B2y%3D-25%5C%5Cwhat%20is%20value%20of%20x" id="TexFormula1" title="x+y=-
    11·1 answer
  • Please help I will give brainliest.
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!