4: B since the absolute value of a negative -3 would be 3 (equal)
5: C ( a good way to remember these is to picture the symbol as an alligator always trying to bite on the largest number)
7: D because 0.25 is not a whole number
8: A
9: A (using a calculator or pie chart is good to compare these values)
Answer:
Bank West
$242.82
Step-by-step explanation:
To find which bank will yield more interest for Emilio, we can solve for the interest of each bank by using the Compound interest formula:
![A=P(1+\dfrac{r}{n})^{nt}](https://tex.z-dn.net/?f=A%3DP%281%2B%5Cdfrac%7Br%7D%7Bn%7D%29%5E%7Bnt%7D)
For the Bank West we have:
n = 4 Quarterly
t = 6 years
r = 3.8% or 0.038
P = 15820
Let's substitute them in the formula.
![A=15820(1+\dfrac{0.038}{4})^{4(6)}](https://tex.z-dn.net/?f=A%3D15820%281%2B%5Cdfrac%7B0.038%7D%7B4%7D%29%5E%7B4%286%29%7D)
![A=15820(1+\dfrac{0.038}{4})^{24}](https://tex.z-dn.net/?f=A%3D15820%281%2B%5Cdfrac%7B0.038%7D%7B4%7D%29%5E%7B24%7D)
![A=15820(1+0.0095)^{24}](https://tex.z-dn.net/?f=A%3D15820%281%2B0.0095%29%5E%7B24%7D)
![A=15820(1.0095)^{24}](https://tex.z-dn.net/?f=A%3D15820%281.0095%29%5E%7B24%7D)
![A=19849.89](https://tex.z-dn.net/?f=A%3D19849.89)
Now let's solve for the Interest. We subtract our total amount to the principal amount.
Interest = 19849.89 - 15820
Interest = 4029.89
Now let's solve for the First Bank.
n = 12 Monthly
t = 5 years
r = 4.3% or 0.043
P = 15820
Let's substitute them in the formula.
![A=15820(1+\dfrac{0.043}{12})^{12(5)}](https://tex.z-dn.net/?f=A%3D15820%281%2B%5Cdfrac%7B0.043%7D%7B12%7D%29%5E%7B12%285%29%7D)
![A=15820(1+\dfrac{0.043}{12})^{60}](https://tex.z-dn.net/?f=A%3D15820%281%2B%5Cdfrac%7B0.043%7D%7B12%7D%29%5E%7B60%7D)
![A=19607.07](https://tex.z-dn.net/?f=A%3D19607.07)
Now for the interest:
Interest = 19607.07 - 15820
Interest = 3787.07
This gives us:
Bank West Interest = $4029.89
First Bank Interest = $3787.07
So Bank West will earn more interest than First Bank.
To find how much more interest we subtract the interest of Bank West to First Bank.
4029.89 - 3787.07 = $242.82
1km is 1000 m
1000m+125m-375m=750m
You can plot a linear equation, if you are given the coordinates and the slope for THE SAME line.
Assuming you have those, the first step is to find the y-intercept.
That is done by replacing
and
in the general formula by their coordinated counterparts, and replacing
by the slope that is given to you.
Let's assume the coordinates you are given are
, and the slope you are given is 1.
By substituting into the general formula...
![y=mx+c\\(10)=(1)(5)+c\\10=5+c\\10-5=c\\c=5](https://tex.z-dn.net/?f=y%3Dmx%2Bc%5C%5C%2810%29%3D%281%29%285%29%2Bc%5C%5C10%3D5%2Bc%5C%5C10-5%3Dc%5C%5Cc%3D5)
...we can see that it is possible to find the y-intercept (
).
Knowing the y-intercept, it is possible to plot the line and solve any question.
I'll leave a picture of the example used above when graphed.