Using algebraic expressions, the value of x in the diagram given is calculated as: x = 4
<h3>What is an Algebraic Equation?</h3>
An algebraic equation is an equation that has an unknown variable (i.e. x) and digits, which can be used to solve a problem.
Algebraic expression for Mat A is: 4x + 3
Algebraic expression for Mat B is: 2x + 11
We would have the following algebraic equation:
4x + 3 = 2x = 11
Solve for the value of x
4x - 2x = 11 - 3
2x = 8
x = 8/2
x = 4
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Y=mx+b is the equation we must fill out, with x and y being their respective coordinates, m being the slope, and b being the y-intercept. The y intercept will be at (0, y), and the beginning of this problem already gives us the y-intercept: -4.
We now know y=mx-4. To find the slope, m, we’ll plug in one of the coordinates: (5, 1). The new equation is 1=m(5)-4. Solve this to get 5=m(5), and then m=1.
Now that we know the slope and y-intercept, we can conclude that the equation is y=x-4.
On month -------- 10%
12 month ---------- x %
-------------------------------
x = 12*10/1 = 12*10 = 120%
Answer:
D. Infinite solutions.
Step-by-step explanation:
Since they give us the equation for (y) we just implement that equation in place of (y) in the second equation
15x+3y=27 now becomes
15x+3(-5x+9)=27
Distribute the 3
15x-15x+27=27
15x and -15x cancel out
27=27
Infinite solutions since both sides are exactly equal.
Hope this helps! If you have any questions on how I got my answer feel free to ask. Stay safe!
Answer:
Step-by-step explanation:
This is an Annuity question. It is asking for recurring monthly payment(PMT). <em>You can use a financial calculator to solve it. I am using (Texas Instruments BA II plus)</em>
Since the payments occur monthly , adjust the interest rate to monthly rate and multiply 40 years by 12 since we have 12 months in a year<em>.</em>
Total duration of investment ; N = 40*12 = 480
Interest rate; I/Y = 5.75% /12 = 0.4792%
Future value; FV = 6,000,000
Present value ; PV = 0
then CPT PMT = 3,222.912
Therefore $3,222.91 should be deposited each month to achieve the goal.
