20% & DiscountRUs
DiscountRUs offers 40% off while the other offers 1/5 off which is 20% off.
The difference between 40 and 20 is obviously 20.
Topic : Linear equations in two variables.
Given :
- 2x - y = 3 ––– (i)
- - x - y = 3 ––– (ii)
Solution :
Now,
(i) – (ii)
![\qquad \sf \: { \dashrightarrow 2x - y - ( - x - y) = 3 - 3}](https://tex.z-dn.net/?f=%5Cqquad%20%5Csf%20%5C%3A%20%7B%20%5Cdashrightarrow%202x%20-%20y%20-%20%28%20-%20x%20-%20y%29%20%3D%203%20-%203%7D%3C%2Fp%3E%3Cp%3E)
![\qquad \sf \: { \dashrightarrow 2x - y + x + y) = 3 - 3}](https://tex.z-dn.net/?f=%5Cqquad%20%5Csf%20%5C%3A%20%7B%20%5Cdashrightarrow%202x%20-%20y%20%20%2B%20%20x%20%20%2B%20y%29%20%3D%203%20-%203%7D%3C%2Fp%3E%3Cp%3E)
![\qquad \sf \: { \dashrightarrow 3x = 0}](https://tex.z-dn.net/?f=%5Cqquad%20%5Csf%20%5C%3A%20%7B%20%5Cdashrightarrow%203x%20%3D%200%7D%3C%2Fp%3E%3Cp%3E)
![\qquad \bf \: { \dashrightarrow x = 0}](https://tex.z-dn.net/?f=%5Cqquad%20%5Cbf%20%5C%3A%20%7B%20%5Cdashrightarrow%20x%20%3D%200%7D%3C%2Fp%3E%3Cp%3E)
Now, substituting the value of x in Eq (i) :
![\qquad \sf \: { \dashrightarrow 2x - y = 3 }](https://tex.z-dn.net/?f=%5Cqquad%20%5Csf%20%5C%3A%20%7B%20%5Cdashrightarrow%202x%20-%20y%20%3D%203%20%7D)
![\qquad \sf \: { \dashrightarrow 2(0)- y = 3 }](https://tex.z-dn.net/?f=%5Cqquad%20%5Csf%20%5C%3A%20%7B%20%5Cdashrightarrow%202%280%29-%20y%20%3D%203%20%7D)
![\qquad \sf \: { \dashrightarrow 0- y = 3 }](https://tex.z-dn.net/?f=%5Cqquad%20%5Csf%20%5C%3A%20%7B%20%5Cdashrightarrow%200-%20y%20%3D%203%20%7D)
![\qquad \bf \: { \dashrightarrow y = - 3 }](https://tex.z-dn.net/?f=%5Cqquad%20%5Cbf%20%5C%3A%20%7B%20%5Cdashrightarrow%20%20y%20%3D%20%20-%203%20%7D)
Therefore,
- <u>The value of x = 0 and y = -3</u>
A: -3.25 or -13/4,b:-13/4?????
Answer:
19.8%
Step-by-step explanation:
We have the following formula for continuous compound interest:
A = P * e ^ (i * t)
Where:
A is the final value
P is the initial investment
i is the interest rate in decimal
t is time.
The time can be calculated as follows:
25 - 18 = 7
That is, the time corresponds to 7 years. In addition, A is 20,000 for A and P would be 5,000, we replace:
20000 = 5000 * e ^ (7 * i)
20000/5000 = e ^ (7 * i)
e ^ (7 * i) = 4
ln e ^ (7 * i) = ln 4
7 * i = ln 4
i = (ln 4) / 7
i = 0.198
Which means that the rounded percentage will be 19.8% per year
Answer:
Given the function f(x) = 3x + 1, evaluation of f(a + 1) gives:
C. 3a + 4
Step-by-step explanation:
Given function:
f(x) = 3x + 1
We have to find f(a+1).
For this purpose, we will take x = a+1 and
substitute it in the function f(x) = 3x+1:
f(x) = 3x + 1
f(a+1) = 3(a+1) +1
f(a+1) = 3(a) + 3(1) +1
f(a+1) = 3a+3+1
f(a+1) = 3a + 4
So the function f(a+1) is equal to option C. 3a + 4.