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4 years ago

How do you solve a - 4a = 2a + 1 - 5a

Mathematics

1 answer:

Alexxx [7]4 years ago

6 0

$a-4a=2a+1-5a \\ \\ -3a=-3a+1 \\ \\ -3a+3a=1 \\ \\ \boxed{0 \neq 1}$

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Paul has $30,000 to invest. His intent is to earn 15% interest on his investment. He can invest part of his money at 8% interest

jeka94

Answer:

Amount invested at 8% is $9000 and amount invested at 18% is $21000.

Step-by-step explanation:

Let amount invested at 8% be x.

Let amount invested at 18% be y.

We get the 1st equation as:

$x+y=30000$ ........(1)

We get the second equation as:

$0.08x+0.18(y)=0.15\times30000$

=> $0.08x+0.18y=4500$

or getting rid of the decimal by multiplying by 100 on both sides.

$8x+18y=450000$ ........(2)

Multiplying (1) by 8 and subtracting from (2) we get

$10y=210000$

So, y = 21000

And $x+21000=30000$

$x = 30000-21000$

So, x = 9000

Therefore, amount invested at 8% is $9000 and amount invested at 18% is $21000.

6 0

3 years ago

Sabina makes $2,000 per month. She spends $150 on store credit and $250 on an auto loan each month. Does she have excessive debt

never [62]

Answer:

The answer is B because her debt to income ratio is lower than 36 percent

7 0

3 years ago

Evaluate the expression when a=4, b=−5, and c=−8. (−b)+c=

pshichka [43]

Answer:

-3

Step-by-step explanation:

$( - - 5) = + 5 \\ + ( - 8) = - 8 \\ 5 - 8 = - 3$

5 0

3 years ago

Read 2 more answers

Which is the measure of the angle shown on the protractor?

Alex73 [517]

The measure of the angle should be 170° as this angle looks like an obtuse angle.

Hope that helps!

7 0

3 years ago

I'm stuck on a question. I just need help for one and I think I could do the rest if I understand it.(the got it part, not the e

otez555 [7]

Answer:

Completing the table, we have;

Explanation:

Given the equation;

$y=2x-1$

where y is the output and x is the input.

we were given the outputs 1,3,5.

To get the input for each of the given output let us substitute the output into the equation and solve for x;

$\begin{gathered} \text{for output = 1;} \\ 1=2x-1 \\ 1+1=2x \\ 2=2x \\ x=\frac{2}{2} \\ x=1 \end{gathered}$ $\begin{gathered} \text{for output = 3 ;} \\ 3=2x-1 \\ 3+1=2x \\ 4=2x \\ \frac{4}{2}=x \\ x=2 \end{gathered}$ $\begin{gathered} \text{for output = 5;} \\ 5=2x-1 \\ 5+1=2x \\ 6=2x \\ \frac{6}{2}=x \\ x=3 \end{gathered}$

Therefore, completing the table, we have;

3 0

1 year ago