The number 1.04 represents the rate at which the house appreciates, or increases in its price annually.
As according to the values of an exponential equation, which is represented by this: y=ab^x, the a value represents the original price, the b value represents the rate of growth/decay (if growth, you add 1 to the rate, if decay, you subtract the rate from 1), and x represents the amount of times it decays or grows.
As according to the function <span> f(x) = 242,000(1.04)^x, 242,000 is the original price and 1.04 is the rate of growth since 1 has been added to the the 4% annual growth.</span>
Answer:
x=18 x=-6
Step-by-step explanation:
2|x-6|+14=38
The first step is to isolate the absolute value
Subtract 14 from each side
2|x-6|+14-14=38-14
2|x-6|=24
Divide by 2 on each side
2/2|x-6|=24/2
|x-6| = 12
Now we can seperate the absolute value into two parts, the positive and the negative
x-6 =12 x-6 = -12
Add 6 to each side
x-6+6 =12+6 x-6+6 = -12+6
x=18 x= -6
Simplifying
5(7x + -3) = 230
Reorder the terms:
5(-3 + 7x) = 230
(-3 * 5 + 7x * 5) = 230
(-15 + 35x) = 230
Solving
-15 + 35x = 230
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '15' to each side of the equation.
-15 + 15 + 35x = 230 + 15
Combine like terms: -15 + 15 = 0
0 + 35x = 230 + 15
35x = 230 + 15
Combine like terms: 230 + 15 = 245
35x = 245
Divide each side by '35'.
x = 7
Simplifying
x = 7
7*X(number of students)=y(total cost)
The independent variable is the number of students and the dependent variable is the cost in dollars. I hope I helped!
