When dividing two fractions, it is important to know to multiply the first fraction by the reciprocal of the second fraction.
Reciprocal means basically a flipped fraction. 2/3 as a reciprocal is 3/2, etc.
1/3 / 1/2= 1/3 x 2/1=2/3
So, we know that 30% of 100 is 30. 50 is HALF of 100 so we can cut the 30 into half and we get a $15 dollar discount. :)
It's a linear function. We need only two points to draw a graph.
We choose any values of x and calculate the value of y.
![6x-2y=2\qquad|-6x\\\\-2y=-6x+2\qquad|:(-2)\\\\y=3x-1](https://tex.z-dn.net/?f=6x-2y%3D2%5Cqquad%7C-6x%5C%5C%5C%5C-2y%3D-6x%2B2%5Cqquad%7C%3A%28-2%29%5C%5C%5C%5Cy%3D3x-1)
for x= 0 → y = 3(0) - 1 = 0 - 1 = -1 → (0, -1)
for x = 2 → y = 3(2) - 1 = 6 - 1 = 5 → (2, 5)
![9x-3y=1\qquad|-9x\\\\-3y=-9x+1\qquad|:(-3)\\\\t=3x-\dfrac{1}{3}](https://tex.z-dn.net/?f=9x-3y%3D1%5Cqquad%7C-9x%5C%5C%5C%5C-3y%3D-9x%2B1%5Cqquad%7C%3A%28-3%29%5C%5C%5C%5Ct%3D3x-%5Cdfrac%7B1%7D%7B3%7D)
for x = 0 → y = 3(0) - 1/3 = 0 - 1/3 = -1/3 → (0, -1/3)
for x = 2 → y = 3(2) - 1/3 = 6 - 1/3 = 5 2/3 → (2, 5 2/3)
Answer:
82
Step-by-step explanation:
triangle adds upto 180 degrees
180 - (53+45) = 98
Then two lines adapt to 180 degrees
therefore, 180 -98 = 82
Answer:
$1,179
Step-by-step explanation:
Lets use the compound interest formula provided to solve this:
![A=P(1+\frac{r}{n} )^{nt}](https://tex.z-dn.net/?f=A%3DP%281%2B%5Cfrac%7Br%7D%7Bn%7D%20%29%5E%7Bnt%7D)
<em>P = initial balance</em>
<em>r = interest rate (decimal)</em>
<em>n = number of times compounded annually</em>
<em>t = time</em>
<em />
First, lets change 2.6% into a decimal:
2.6% ->
-> 0.026
Since the interest is compounded quarterly, we will use 4 for n. Lets plug in the values now:
![A=910(1+\frac{0.026}{4})^{4(10)}](https://tex.z-dn.net/?f=A%3D910%281%2B%5Cfrac%7B0.026%7D%7B4%7D%29%5E%7B4%2810%29%7D)
![A=1,179.21](https://tex.z-dn.net/?f=A%3D1%2C179.21)
The account balance after 10 years will be $1,179