I have the equation 50000 = x(1+.065/4)^50
Please solve for x and show it step by step, thanks
dividing ... x = 5000 / [(1+.065/4)^50]
run the numbers in your calculator
50,000 = x(1+0.065/4)^50
50,000 = 2.2389x
X = 22,332.74.
To solve for x in the equation 50000 = x(1 + 0.065/4)^50, follow these steps:
Step 1: Simplify the expression within the parentheses.
1 + 0.065/4 = 1 + 0.01625 = 1.01625
Step 2: Rewrite the equation with simplified expression.
50000 = x(1.01625)^50
Step 3: Raise 1.01625 to the power of 50.
(1.01625)^50 ≈ 1.968367
Step 4: Substitute the value back into the equation.
50000 = x * 1.968367
Step 5: Divide both sides of the equation by 1.968367.
x ≈ 50000 / 1.968367
Step 6: Calculate the value of x.
x ≈ 25382.89
Thus, x is approximately 25382.89.
To solve the equation 50000 = x(1+.065/4)^50, we need to isolate the variable x. Let's break down the solution step by step:
Step 1: Rewrite the equation
The equation is: 50000 = x(1 + .065/4)^50
Step 2: Simplify the term inside parentheses
The term inside the parentheses, (1 + .065/4)^50, can be calculated by simplifying it first.
1 + .065/4 = 1 + 0.01625
= 1.01625
So, the equation becomes: 50000 = x(1.01625)^50
Step 3: Solve for x
To isolate x, we divide both sides of the equation by (1.01625)^50:
50000 / (1.01625)^50 = x
Now, we can calculate the value of x:
x = 50000 / (1.01625)^50
Let's use a calculator or a computer program to evaluate the right side of the equation:
x ≈ 26394.57
So, the solution to the equation is x ≈ 26394.57.