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]
1 year 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]1 year 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
I have to find the angle measurements of a interior triangle a is 4x b is 7x-2 and c is 5x-10
RSB [31]

Answer:

m\angle a=48^o\\m\angle b=82^o\\m\angle c=50^o

Step-by-step explanation:

we know that

The sum of the interior angles in any triangle must be equal to 180 degrees

so

m\angle a+m\angle b+m\angle c=180^o

substitute the given values

4x^o+(7x-2)^o+(5x-10)^o=180^o

solve for x

(16x-12)^o=180^o

16x=180+12\\16x=192\\x=12

Find the angle measurements

m\angle a=4(12)=48^o

m\angle b=7(12)-2=82^o

m\angle c=5(12)-10)=50^o

5 0
3 years ago
Evaluate the expresssion |–12|–|8|.
ruslelena [56]
This essentially means 12-8
|| means absolute value which is the distance from 0 the number is
Basically it’s the number but positive

So the answer is 4
5 0
3 years ago
Read 2 more answers
If a line crosses though (5,-3) and (-1,6);what is the y-intercept?
harina [27]
(5,-3) (-1,6)
y=mx+b

calculate m:
(-3-6)/(5-(-1)
=-9/6=-1.5

y=-1.5x+b

insert the (5, -3) point to calculate b:

-3=-1.5*5+b
-3=-7.5+b
4.5=b

b=the y intercept, so the line intercepts x=0 at y=4.5
6 0
3 years ago
There is a spinner with 15 equal areas, numbered 1 through 15. If the spinner is spun
Brrunno [24]

Answer:

1/3 and 1.5

Step-by-step explanation:

1,2,3,4,5,6,7,8,9,10,11,12,13,14,15

There are 5 Multiples of 3 on the Spinner and 3 multiples of four.

5/15 is the probability for a multiple of 3 which can be simplified to 1/3

3/15 is the probability for a multiple of 4 which can be simplified to 1/5

Hope this Helps!

5 0
4 years ago
Which strategy would you use to divide 36÷6?explain why you chose that strategy.
jolli1 [7]
36 divided by 6 is like sharing 36 orranges among 6 people
a   a   a   a   a   a|---------------------------1st Person
a   a   a   a   a   a|---------------------------2nd Person
a   a   a   a   a   a|---------------------------3rd Person
a   a   a   a   a   a|---------------------------4th Person 
a   a   a   a   a   a|---------------------------5th Person
a   a   a   a   a   a|---------------------------6th Person 

Each person receives 6 oranges evenly so 36/6 = 6
I used this strategy because it is the easiest to understand
4 0
3 years ago
Read 2 more answers
Other questions:
  • Joseph and Tyler went to the hobby store. They each bought a race car for $15.99. Joseph bought a blue race car for $2.99 and Ty
    13·1 answer
  • What is the solution of this system of linear equations? 3y = x + 6 y – x = 3
    15·1 answer
  • A cruise ship travels east across a river at 19.0 meters per minute. If the river is 4,250 meters wide, how long does it take fo
    10·2 answers
  • Which two ratios form a proportion?
    11·2 answers
  • B В<br> (6,8)<br> F<br> IC<br> E<br> (-10,-4)<br> D
    12·1 answer
  • Please help, my brain just sucks rn. The area of a rectangle is 93.6 square inches. If the length of one of its sides is 5.2 in.
    9·1 answer
  • Please help me on the second one. I do not know the answer
    8·2 answers
  • What is the total bill for a $54 dinner with a 5% sales tax and a 20% tip? (Total bill is the dinner cost plus the sales tax and
    5·1 answer
  • Please Please Please help
    11·2 answers
  • Solve (13 + 2) divided (9-4) using pemdas
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!