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]
3 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:
Maslowich3 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
How to solve (2^3)^4
miv72 [106K]

Answer: 2^12

Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
What would be the slope of the positions (3,3) and (4,5)
Softa [21]

Answer:

m = 2

Step-by-step explanation:

Slope Formula: m=\frac{y_2-y_1}{x_2-x_1}

Simply plug our coordinates into the slope formula and solve for <em>m</em>:

m = (5 - 3)/(4 - 3)

m = 2/1

m = 2

6 0
3 years ago
Read 2 more answers
?/6=1/2 Will get Brainliest
IgorC [24]

Answer:

3/6

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
Which values of x would make a polynomial equal to zero if the factors of the polynomial were (x+3) and (x+12)
Alex Ar [27]

Answer:

A product of factors is zero if and only if one or more of the factors is zero.  That is, if ab = 0, then either a = 0 or b = 0 (or both).

Hence (x+3)(x+12) = 0 only if (x+3) = 0 or (x+12) = 0 or both.  (x+3) = 0 when x = 3.(x+12) = 0 when x = 12.

Hence the values of x that make (x+3)(x+12) = 0 are x = 3 and x = 12.

3 0
3 years ago
Read 2 more answers
Can someone help me with this math question pls? Will upvote!!
katrin2010 [14]

2^4 x 4^4 = 2^4 x  2^8 = 2^12 (because 4^4 = (2^2)^4 = 2^8)


5 0
3 years ago
Other questions:
  • Find the Least Common Multiple of of these two monomials:
    5·1 answer
  • Which property explains how we get the equation shown in step 2? Given: -5(x -4) - 20 = -15 Step 1: -5x + 20 -20 = -15 (Distribu
    13·2 answers
  • 3. A square metal plate has a density of 10.2 g/cm3 and weighs 2.193 kg.
    9·1 answer
  • There are five marbles in a bag: four are blue, and one is red. What is the probability that blue Marble gets picked?
    13·2 answers
  • In Danny’s classroom there are red chairs, yellow chairs, and blue chairs. There are 7 red chairs. There are 2 times as many yel
    6·1 answer
  • 5300 round to the nearest thousand
    9·2 answers
  • What is the inverse function of f(x)= x/x-2
    12·1 answer
  • I need 1-3 help me!!
    10·1 answer
  • 4 01 8
    11·2 answers
  • Quizz<br><br>the multiple word order of "qenl" is...​
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!