Answer:
Step-by-step explanation:
Given the following question:
In order to solve one step inequalities, we solve how we would normally solve a one-step equation and then graph the answer on a number line.
<u>Now to graph the inequality on a number line, keep a few things in mind:</u>
. x is less than -20 which means the line would go the opposite way of the negative 20.
. < is a greater than sign, not a greater than or equal sign (≤) so the number line will have a open point.
. The number line will have a point on -20.
Hope this helps.
Answer:
Depending on your interests and the branch there are ways for you to do both.
Step-by-step explanation:
Given that Naomi deposited some money into a savings account that is compounded quarterly at an interest rate of 6%.
Now we have to identify if the compounded quarterly interest rate is same as monthly interest rate or not.
We know that future value of compound interest formula is given by:
Where P= initial deposit
r = yearly rate of interest = 6%= 0.06
n = number of compounding per year
For quarterly n=4 because there are 4 quarters in 1 year.
For monthly n=12 because there are 12 months in 1 year.
t= number of years.
We know that there are 3 months in 1 quarter so to convert quarterly rate into monthly rate, we need to divide quarterly rate by 3 so we get
monthly rate = 6%/3= 2 %
while the given interest rate is 1.5% which is different than obtained value 2%
Hence Naomi is thinking WRONG that this quarterly rate is the same as a monthly interest rate of 1.25%.
Correct monthly interest rate will be 2% as shown above.
Answer:
2002
Step-by-step explanation:
The main topic of the question is compound interest.
If the percentage increase is 7.5%. Then the decimal multiplier would be 1.075. The 1 in front of the decimal represents the increase. 7.5 in decimal form is 0.075, so we just add the two together to get our decimal multiplier.
Now we do trial and error to see when we reach $700. After we get at least $700, we count how many times we multiplied $500 by the decimal multiplier and onwards to figure out the number of years it took and then add that to 1997. We add it to 1997 because the cost of the Freerange Wireless stock must have also been $500 at the end of 1997. The beginning of 1998 is the same as the end of 1997.
1) 500 x 1.075 = $537.50
2) 537.50 x 1.075 = $577.81
3) 577.81 x 1.075 = $621.15
4) 621.15 x 1.075 = $667.74
5) 667.74 x 1.075 = $717.8205
1997 + 5 = 2002
The value of Mira's stock will reach $700 by the end of 2002 because if we know that she used $500 at the beginning of 1998, that also means the cost of the Freerange Wireless stock was $500 at the end of 1997.
I hope this helps.
It's very simple. Answer is the VOLUME.
The more water means the more volume. Obviously, if you have a glass of water fully filler and a glass of water half filled.
Volume occupied by half filled is less than fully filled.
So, it is volume.
Boiling point, density and conductivity does not depend on mass.