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
While shopping at a clearance sale, Samantha finds a $60.00 dress on sale for 25% off. Samantha also has a 50% off coupon. Which
disa [49]

Answer:

Samantha will save $37.50 because she must first find the 25% sale price before taking the extra 50% reduction

Step-by-step explanation:

I got it right :)

4 0
2 years ago
You and your family left the house for a vacation at 8 A.M. You promptly fell asleep in the
poizon [28]

Answer:

201 miles.

Step-by-step explanation:

If you've traveled 124 miles in 2 hours, than in one hour must've been 62 miles. 62 multiplied by 3 is 186, which is how much miles have been traveled in 3 hours. Plus the 15 minutes would probably be 201 miles. Hope this helps!

8 0
3 years ago
Read 2 more answers
Which property is illustrated by the following statement if ABC=DEF and DEF=XYZ then ABC=XYZ
Harlamova29_29 [7]

Answer:

Transitive property of equality

Step-by-step explanation:

Let A be any non empty set and R is any subset of the Cartesian product A × A. Then, R is a relation on A.

The relation R is said to be a transitive relation if (a, b) ∈ R, (b, c) ∈ R, then (a, c) ∈ R.

It is given that ABC = DEF and DEF = XYZ, then ABC = XYZ.

This shows the transitive property of equality.

3 0
3 years ago
Read 2 more answers
Based on the model, approximately how many customers will be on the restaurant when there are 10 cars parked in the restaurant’s
Zanzabum

Answer:

23

Step-by-step explanation:

From the graph, derive the best fit equation :

Using the points ;

(0,2.5)  (100 ,35)

x1 = 0 ; y1 = 2.5 ; x2 = 100 ; y2 = 35

Slope formula, m = (y2-y1)/(x2-x1)

m = (35-2.5)/(100-0)

m= (32.5)/100

m = 0.325

The y intercept, value on the graph where best fit line crosses the y axis = 2.5

The equation :

y = mx + c

c = intercept ; m = slope

y = 0.325x + 2.5

y = Number of cars

x = number of customers

The number of customers if there are 10 cars parked :

10 = 0.325x + 2.5

10 - 2.5 = 0.325x

7.5 = 0.325x

x = 7.5 / 0.325

x = 23.076

x = 23

6 0
3 years ago
Help pls!! What is the segment of AC?
prohojiy [21]

Answer:

It's an angle bisector

Step-by-step explanation:

It is between 2 congruent angles therefore bisects those angles

4 0
2 years ago
Other questions:
  • QUICK need help with this
    6·1 answer
  • What are the x- and y-intercepts of 2x + 6y = 18?
    15·1 answer
  • A video game costs $29.35 at one store and $32.79 at another store. Generate two equivalent expressions and then find how much m
    12·1 answer
  • Which equation has the solution n = 11?
    12·1 answer
  • 1 5/8 • 4 2/3 equals what as a fraction
    10·1 answer
  • What is the probability of flipping a coin 4 times and it landing heads every time?
    10·1 answer
  • A ​used-car dealership buys a car for ​$2700 and then sells it for ​$3900. What is the percent​ increase?
    10·1 answer
  • 8. Triangle MNQis similar to triangle MOP.
    13·1 answer
  • 1 2 4 and 5 please hurry
    13·1 answer
  • West Company borrowed $48,000 on September 1, Year 1 from the Valley Bank. West agreed to pay interest annually at the rate of 9
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!