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
Savatey [412]
11 months ago
13

A total of $7000 is invested: part at 8% and the remainder at 12%. How much is invested at each rate if the annual interest is $

580?
Mathematics
1 answer:
Ivahew [28]11 months ago
4 0

We invested $7000 invested in two accounts, we don't know how much exactly is in each account, therefore we will assign variables to these amounts. The amount invested in the "8%" account is "x", while the other one is "y". The sum of these two numbers must be equal to $7000, therefore:

x+y=7000

The sum of interest of each account should be equal to 580, therefore:

0.08\cdot x+0.12\cdot y=580

We need to solve the system in order to determine the values.

\begin{gathered} \begin{cases}x+y=7000 \\ 0.08x+0.12y=580\end{cases} \\ \begin{cases}-0.12x-0.12y=-840 \\ 0.08x+0.12y=580\end{cases} \\ -0.04x=-260 \\ x=\frac{-260}{-0.04}=6500 \\  \end{gathered}

Now we can replace the value of "x" in the first equation to determine the value of "y".

\begin{gathered} 6500+y=7000 \\ y=7000-6500 \\ y=500 \end{gathered}

The values are 6500 in the 8% account and 500 in the 12% account.

You might be interested in
(04.04 LC) Point P on the coordinate grid below shows the location of a stage light. A second stage light is 8 units above P. Th
Morgarella [4.7K]
The square 8 units is above the grid for stage. Coordinations was the location
7 0
3 years ago
What is the next term of the geometric sequence?
Makovka662 [10]

Answer:

16

Step-by-step explanation:

In a geometric sequence you are just multiplying basically. To go from 36 to 24, you multiply by 2/3, and the same will be with the next term. When you multiply 24 by 2/3 you get 16.

6 0
2 years ago
Lou’s Shoes is having its annual Flag Day Sale and is offering a 25% discount on all regularly priced shoes. Kayla spends $13.50
patriot [66]
The easiest way to think of these is to put them in terms of percentages.  Obviously, if you are SAVING 25%, you are SPENDING 75%.  So if she SPENDS 13.50, we can easily use the 75% in an equation. $13.50 = .75x, with x being what the shoes cost originally.  The .75 indicates that she is spending 75% of what the original cost is. You don't have any examples to pick from, but this is the best way to explain what one of the equations could be.  You could also base it on money saved, but the equation is not quite as neat.
4 0
3 years ago
Read 2 more answers
Help SOS pretty please ​
Pepsi [2]

Answer:

x = 12

Step-by-step explanation:

Recall: the secant-tangent rule states that when a secant and a tangent meet at an external point of a circle, the product of the secant and the external segment is equal to the square of the tangent segment

(x)(3) = 6² (secant-tangent rule)

3x = 36

Divide both sides by 3

3x/3 = 36/3

x = 12

6 0
2 years ago
Solving inequalities for word problems:
zepelin [54]

For this case we have to:

x: Let the variable representing the unknown number

We algebraically rewrite the given expression:

Twice a number plus 10, is represented as:2x + 10

Three times that number less 4. is represented as:

3x-4

Thus, the complete expression is:

2x + 10> 3x-4

Subtracting 3x from both sides of the inequality:

2x-3x + 10> -4\\-x + 10> -4

Subtracting 10 from both sides of the inequality:

-x> -4-10

Equal signs are added and the same sign is placed:

-x> -14

We multiply by -1 on both sides, taking into account that the sense of inequality changes:

x

The solution is given by all values of "x" less than 14.

Answer:

x

5 0
2 years ago
Other questions:
  • A probability distribution on the real line is a mixture of two classes +1 and−1 with density N(1,2) (normal distribution with m
    9·1 answer
  • During the season, Juan batted 96 times and got 36 hits. Carlos batted 72 times and had the same ratio of hits to bats as Juan.
    13·1 answer
  • The area of a circular swimming pool is approximately 18 m2 which is the best estimate of the radius
    11·1 answer
  • PLEASE HELP ME !! WILL GIVE BRAINLIEST!!
    14·1 answer
  • WILL MARK BRAINLIST!!!!!!!!!!<br> |a+x|/ 2 − |a−x|/ 2 if a=−2; x=−6
    15·2 answers
  • Is everyone answering so we can ask more questions lol
    8·1 answer
  • Round answer to the nearest hundredth
    6·2 answers
  • Hello people of brainly lol
    10·2 answers
  • 2. Draw what might be the missing figure in
    10·1 answer
  • The diameter of a circle is 3.6 units. If its circumference is aπ units, what is the value of a?
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!