Answer:
a + b = 5
Step-by-step explanation:
To solve this system of equations, we can use a strategy called elimination, which is when we get rid of a variable by adding/subtracting two equations.
Firstly, we want to make sure the absolute value of the coefficients that equal.
Lets eliminate b:
4a + 6b = 24
Multiply both sides by 2:
8a + 12b = 48
We also have:
6a - 12b = -6.
Now lets add that with
8a + 12b = 48
-> 6a + 8a + 12b - 12b = 48 -6
-> 14a = 42
-> a = 3
Now that we know a, lets plug it into one of our original equations:
4(3) + 6b = 24
12 + 6b = 24
6b = 12
b = 2
Finally, add the two values we found:
a+b = 2+3= 5
Start by distributing the 6 through the parenthses on the left side.
So we have 6x + 24 = 30.
Solving from here, I would subtract 24 from both sides to get 6x = 6.
Finally, dividing both sides of the equation by 6, we have x = 1.
The money in the Felix's account will be $6798 when he is 21.
<u>Step-by-step explanation:</u>
It is given that,
- The amount deposited is $2000.
- The account earns 6% compound interest.
- It is compounded annually for 21 years.
<u>To find the money in Felix's account after 21 years :</u>
The formula used here is,
⇒ 
where A is the amount after 21 years.
- P is the initial amount deposited ⇒ P = 2000
- r is the rate ⇒ r = 0.06
- n is the number of times interest is compounded per year⇒ n = 1
- t is the time period ⇒ t = 21
⇒ 
⇒ 
⇒ 
⇒ 
Therefore, The money in the Felix's account will be $6798 when he is 21.
Answer:
y = -2x -4
Step-by-step explanation:
The equation of a line is y = mx + b, where m is the slope of the line, and b is the y-intercept. We are told that the slope of the line is -2, so we can start with
y = mx + b
y = -2x + b
We can figure out the value of b by plugging in the coordinates of the point given (-2, 0)
0 = -2(-2) + b
0 = 4 + b
Subtract 4 from both sides of the equation
-4 = b
Then plug that value of b back into the equation above:
y = -2x + (-4) or y = -2x -4
Ghi=j
h/gi=j/gi
h=j/gi
the sign "/" means divide by
