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
denpristay [2]
3 years ago
14

Please help quickly!

Mathematics
2 answers:
Anuta_ua [19.1K]3 years ago
8 0

Answer:3100 with 9%

Step-by-step explanation:

gogolik [260]3 years ago
7 0

Answer:

The answer is $3,100 at 9%; $4,900 at 11%

Step-by-step explanation:

You can solve this problem with a system of equations, that is, a system that can contain 2 or more equations. In this case, arms 2 linear equations with two variables: x and y. So first you define what your variables are:

  • x: amount of money invested in the account with 9% interest
  • y: amount of money invested in the account with 11% interest

Now you can define the system of equations. On the one hand you know that in the account that has 11% interest Mr. Brownwood deposited $1800 more than in the other account. In an equation and according to the previously defined variables this means: <em>y=x+1800 Equation (A)</em>

On the other hand, you know Mr. Brownwood earned $ 818 in interest. This means that the sum between the interest generated in the account deposited with 9% interest plus the interest generated in the account deposited with 11% interest is $ 818. And to calculate the amount of money generated by interest you multiply the percentage of interest by the amount deposited.  Remember that to convert from percentage to decimal you must divide the number by 100. Then 9% is 0.09 and 11% is 0.11. In summary, considering this, you get the equation:<em> 0.09*x+0.11*y=818 Equation (B)</em>

Now you have both equations with the two variables to solve the system. There are several ways to solve the system. One of the most used ways is substitution, which consists in isolating one of the variables from one of the equations and replacing it in the other equation.

In this case you isolate the variable "y" from equation A, and you get:  y=1800+x

Now replace it in equation (B): 0.09*x+0.11*(1800+x)=818

First you apply distributive property, which consists of distributing the multiplication by the terms within the parenthesis:

0.09*x+0.11*1800+0.11*x=818

0.09*x+198+0.11*x=818

Now, we leave the variable x on one side of the equality, in this case the left, and the numbers without the variable on the other side, in this case the right. To pass the numbers from one side of the equality to the other, you must keep in mind that you must use the opposite operation, that is, if the number 198 is adding on one side of the equality, the other side is subtracted:

0.09*x+0.11*x=818-198

Now you perform the corresponding operations. Then you isolate the variable and, and as in the previous case, you pass the number that accompanies the variable on the other side of equality with the opposite operation. In this case it is multiplying and its opposite operation is the division:

0.2*x=620

x=\frac{620}{0.2}

<em>x=3100</em>

Now you replace this value in either of the two equations, A or B, and solve that equation to get the value of y. So: <em>y=4900</em>

Remembering that x was amount of money invested in the account with 9% interest and y was amount of money invested in the account with 11% interest, you can say that <em>$3100 was the amount invested at 9% and $4900 was the amount invested at 11%</em>

You might be interested in
Profit 504 thousand more than -141 thousand
polet [3.4K]
The other company's profit was 363 thousand dollars more
5 0
3 years ago
What is 50 percent of 18?
Effectus [21]
Steps:
18*0.5=9

Answer:

9
3 0
2 years ago
Read 2 more answers
thomas want to save money for a vacation. Thomas invest $1,300 in account that pays an interest rate of 6.25% how many years wil
Harrizon [31]

Answer:

  44.2 years

Step-by-step explanation:

If we assume the interest is compounded annually and the investment is a one-time deposit into the account, its value each year is multiplied by 1+6.25% = 1.0625. After n years, the value in the account will be ...

  19000 = 1300·1.0625^n

Dividing by 1300 and taking logs, we have ...

  log(19000/1300) = n·log(1.0625)

  log(190/13)/log(1.0625) = n ≈ 44.24 . . . .  years

It will take about 44.2 years for the account to reach $19,000.

5 0
3 years ago
Read 2 more answers
What is the sum of 3m + 7y + 5 - m - 6y?
nevsk [136]
3m + 7y + 5 + -1m + -6y = 0
Reorder the terms:5 + 3m + -1m + 7y + -6y = 0
Combine like terms: 3m + -1m = 2m5 + 2m + 7y + -6y = 0
Combine like terms: 7y + -6y = 1y5 + 2m + 1y = 0
Solving5 + 2m + 1y = 0
Solving for variable m'.
Move all terms containing m to the left, all other terms to the right.
Add '-5' to each side of the equation.5 + 2m + -5 + 1y = 0 + -5
Reorder the terms:5 + -5 + 2m + 1y = 0 + -5
Combine like terms: 5 + -5 = 00 + 2m + 1y = 0 + -52m + 1y = 0 + -5
Combine like terms: 0 + -5 = -52m + 1y = -5
Add '-1y' to each side of the equation.2m + 1y + -1y = -5 + -1y
Combine like terms: 1y + -1y = 02m + 0 = -5 + -1y2m = -5 + -1y
Divide each side by '2'.m = -2.5 + -0.5y
Roots  m=-2.5 + -0.5y

Simplify the following:3 m + 7 y + 5 - m - 6 y
Grouping like terms, 3 m + 7 y + 5 - m - 6 y = (7 y - 6 y) + (3 m - m) + 5:(7 y - 6 y) + (3 m - m) + 5
7 y - 6 y = y:y + (3 m - m) + 5
3 m - m = 2 m:Answer:  y + 2 m + 5
Not sure what you need so I gave you Simplification and Roots.


8 0
3 years ago
For a soccer practice, the coach set up four cones, labeled W, X, Y, and Z, to mark the edges of the rectangular field.
zhenek [66]

Answer:

Because there are fewer than 30 (not no more than 30) one of the answer i x+y < 30

Because he needs both small and large another answer is x>0 and not x  0

Finally because he need at least dozen large cones the last answer is y

Step-by-step explanation:

3 0
2 years ago
Other questions:
  • 16% of 150 is what number plz show work
    14·2 answers
  • Joe ran 8 laps for a total of 1 mile. <br> How many laps is 5/8 of a mile?
    5·1 answer
  • What is the greatsest common factor of<br><img src="https://tex.z-dn.net/?f=24%20%7Ba%7D%5E%7B3%7D%20c" id="TexFormula1" title="
    11·1 answer
  • At 7:00 a.m., the temperature in Belleville, Ontario was -4°C. The
    8·1 answer
  • If Pietra walked 11 miles during the week, how many miles did the two girls walk together?
    8·1 answer
  • Solving systems of equations with substitution y=4x-3, 4x+5y=9
    10·1 answer
  • 3×3×5×5 as powers??<br>​
    6·2 answers
  • The principal at Marina Middle School wants to determine if the 120 students in the seventh grade prefer to visit Catalina Islan
    5·1 answer
  • A coin was flipped 10 times and 4 of the 10 flips resulted in heads. Compare the experimental probability of flipping heads to t
    10·1 answer
  • PLEASE HELP QUICK!!
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!