Answer:
x=−6
Step-by-step explanation:
<u>Step 1: Simplify both sides of the equation.</u>
3x−7-2/3(9x−6)=15
3x+−7+−6x+4=15(Distribute)
(3x+−6x)+(−7+4)=15(Combine Like Terms)
−3x+−3=15
−3x−3=15
<u>Step 2: Add 3 to both sides.</u>
−3x−3+3=15+3
−3x=18
<u>Step 3: Divide both sides by -3.</u>
−3x/−3=18/−3
x=−6
The perpendicular equation would include a slope that is the opposite reciprocal of the original slope.
Steps:
1. Get x to the other side in the original equation. This making the slope -4 or -4/1.
2. Turn the slope into it’s opposite reciprocal m = 1/4.
3. If you use point-slope form, y - y1 = m( x - x1 ), you can substitute y1 and x1 with the numbers in the point given. But since we previously found the opposite reciprocal, we will replace “m” as well. *By the way, the subtraction of a negative makes a positive. [y + 3 = 1/4( x + 4 )]
4. Solve:
A: Distribute (y + 3 = 1/4x + 1)
B: Subtract 3 from both sides (y = 1/4x -2)
Perpendicular Equation: y = 1/4x - 2
Given:
Annual interest rate = r%
Growth factor : x = 1 + r
The below function gives the amount in the account after 4 years when the growth factor is x .

To find:
The total amount in the account if the interest rate for the account is 3% each year and initial amount.
Solution:
Rate of interest = 3% = 0.03
Growth factor : x = 1 + 0.03 = 1.03
We have,

Substitute x=1.03 in the given function, to find the total amount in the account if the interest rate for the account is 3% each year.





Therefore, the total amount in the account is 2431.31 if the interest rate for the account is 3% each year.
For initial amount the rate of interest is 0.
Growth factor : x = 1 + 0 = 1
Substitute x=0 in the given function to find the initial amount.



Therefore, 2250 was put into the account at the beginning.