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shepuryov [24]
3 years ago
13

What is the value of m in the equation 5m − 7 = 6m 11? 18 1 −18 −1.

Mathematics
1 answer:
riadik2000 [5.3K]3 years ago
4 0

Answer: 18

Step-by-step explanation: 5m - 7 = 6m + 11

Solve for M

5m - 6m = 11+ 7

-m = 18

Divide both sides by -1

-m/-1 = 18/-1

m = -18

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Phoenix [80]

Which one do you need assistance with?

4 0
3 years ago
Walter invests $100,000 in an account that compounds interest continuously and earns 12%. How long will it take for his money to
prohojiy [21]

Answer:

300000= 100000 e^{0.12 t}

We divide both sides by 100000 and we got:

3 = e^{0.12 t}

Now we can apply natural logs on both sides;

ln(3) = 0.12 t

And then the value of t would be:

t = \frac{ln(3)}{0.12}= 9.16 years

And rounded to the nearest tenth would be 9.2 years.

Step-by-step explanation:

For this case since we know that the interest is compounded continuously, then we can use the following formula:

A =P e^{rt}

Where A is the future value, P the present value , r the rate of interest in fraction and t the number of years.

For this case we know that P = 100000 and r =0.12 we want to triplicate this amount and that means A= 300000 and we want to find the value for t.

300000= 100000 e^{0.12 t}

We divide both sides by 100000 and we got:

3 = e^{0.12 t}

Now we can apply natural logs on both sides;

ln(3) = 0.12 t

And then the value of t would be:

t = \frac{ln(3)}{0.12}= 9.16 years

And rounded to the nearest tenth would be 9.2 years.

5 0
3 years ago
Solve for x<br> angle given: 32<br> answer choices<br> -64<br> -32<br> -90<br> -58
marishachu [46]

Answer:

58

Step-by-step explanation:

Angle NPO is a right angle, then the angle 32 is equal to angle PNO, so x = 90 - 32 = 58.

3 0
3 years ago
Solve 3(y-2)=6(y-1)-3y
ASHA 777 [7]

Answer:

All real numbers are solutions.

Step-by-step explanation:

1. First you want to distribute what is inside the parenthesis. You would want to do 3 × y + 3 × -2 = 6 × y + 6 × -1 -3y.

2. Now that the equation has been distributed, you want to simplify it. 3 × y is equal to 3y, and 3 × -2 is equal to -6. So, 3y + -6 = 6 × y + 6 × -1 -3y.

3. Now you want to simplify the right side of the equation. So, 6 times y is equal to 6y, and 6 × -1 is equal to -6. Now the new equation is 3y + -6 =6y + -6-3y.

4. Also in an equation, if there is a + and - sign together like this +-, it would equal to -. So, 3y + -6 = 6y + -6-3y, is equal to 3y - 6 = 6y -6-3y.

5. Now you want to combine like terms on the right side of the equation. 3y - 6 = 3y -6 because 6y-3y is equal to 3y.

6. Now the rest of the equation has to be combined using like terms. Start by moving the -3y fromthe right side of the equation to the 3y on the left side of the equation. -3y plus 3y is equal to zero so it cancels out. The 3y on the left side plus another 3y is equal to 6y.

7. Now the equation is 6y - 6 = 6y - 6

8. You can add 6 to the -6 on both sides of the equation which would cancel out on both sides leaving you with an equation of 6y = 6y.

9. Divide both sides by 6 to get y = y.

10. This equation means that all real numbers are solutions to this equation. In other words, no matter what real number you use in this equation, it would come out to be true. For example, if y = 3, 3 = 3, so the equation is true.

3 0
3 years ago
Maurice puts 130 trading cards in protector sheets.He fills 7 sheets and puts the remaining 4 cards in the eighth sheet.Each of
horrorfan [7]
If you do 130 divided by 7, you get 18 with a remainder of 4. The answer is 18 cards on each page.
6 0
3 years ago
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