Answer:
(-1,4)
Step-by-step explanation:
Step 1) Change both equations to slope intercept form
3x+y=1 ---> y=-3x+1
5x+y=-1 ---> y=-5x-1
Step 2) Plot lines accordingly on graph
Lines intersect at (-1,4)
Option C: (5,1) is the ordered pair for point B
Explanation:
The graph is plotted with unit scale 1 units for both x and y axis.
We need to determine the ordered pair for point B.
<u>Ordered pair:</u>
Since, the graph is plotted with unit scale 1, the point B is 5 units away from the point (0,0)
Thus, the x - coordinate for point B is 5.
Also, the point B is 1 unit away from the point (0,0)
Thus, the y - coordinate is 1
The coordinates of point B is (5,1)
Thus, the ordered pair for point B is (5,1)
Hence, Option C is the correct answer.
Answer:
It will take 15 years for $500 to yield $900 at an interest rate of 0.12
Step-by-step explanation:
Simple Interest equals Principal times Rate times The time in years,
That is SI = P*R*T
SI is $900
P = $500
R = 0.12
T i.e. Time is unknown
T will be equal to SI divided by P*R
i.e., T = SI/PR
T = $900/$500*0.12 = 900/60
T = 15 years.
Therefore, it will take $500 investment to yield $900 interest in 15 years at an interest rate of 0.12
Hey there!
Let's first simplify this expression using our rules of exponents.
We know that:
1)

And:
2)

Finally:
3)

One more:
4)

Now, we can simplify the top. Using our rule number 1<em />, we know we can just multiply the exponents to get 7^12. On the bottom, using our rule number 2, we know we can add out exponents to also get 7^12.
Without even simplifying the powers, we know that everything over itself if one. Therefore, in our answer choices, we're looking for everything not equal to one.
For the 7^12/7^12, we know that's what we just got so it equals one. For the 1, well, one equals one. For the next one, referring to our last rule, 4, anything to the power of 0 equals one, therefore that's also equal to one.
Now for our final answer choice. If we take another look at rule number 3, we know we have to subtract the exponent at the bottom from the one at the top because the exponents have the same base. That gives us 7^-24, and that surely does not equal one.
Therefore, your answer is:

Hope this helps!
Your answer will be 21x+7y-13