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worty [1.4K]
3 years ago
8

FREE

Mathematics
1 answer:
Luden [163]3 years ago
3 0
I did this one and it is (-8,-6)
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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 $
Ivahew [28]

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.

4 0
10 months ago
Which equation shows the point-slope form of the line that passes through (3, 2) and has a slope of ?
Darina [25.2K]

Answer:

y – 2 = (x – 3)

Step-by-step explanation:

because (3, 2) was the point used for the equation but turned negative because you need to make it negative for the equation. y - y1 =m(x - x1)

4 0
2 years ago
Can you divide 25 into 4 equal groups? Explain why or why not.
alexira [117]

Answer:

No, not really.

dividing 25 into 4 equal groups, equals 6.25.

So no, you can not divide 25 into 4 equal group.

If if was 25 into 5 equal groups, then yes.

Hope this helps!!!

Please mark brainliest, if this helps. :)

Step-by-step explanation:

8 0
3 years ago
WILL GIVE BRAINLIEST!!!!!
ruslelena [56]

Answer:

<h3>           m∠BAC = 80° </h3>

Step-by-step explanation:

m∠BCD = 145°  ⇒  m∠BCA = 180° - 145° = 35°

From ΔABC:

                    m∠ABC + m∠BCA + m∠BAC = 180°

                         65° +  35° + m∠BAC = 180°

                                  m∠BAC = 180° -  100°

                                   m∠BAC = 80°

5 0
3 years ago
How do cows count<br> [riddle]
crimeas [40]

Answer:

Step-by-step explanation:

I think the answer is utterly perfect

Lol or its a 'cow'nter

8 0
2 years ago
Read 2 more answers
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