Final answer:
To solve the given equation, distribute 0.1 and combine like terms. Then, isolate the variable term and solve for t. The value of t that satisfies the equation is approximately 380.
Step-by-step explanation:
To solve the given equation, we can start by distributing 0.1 to the terms inside the parentheses:
0.1(t+3,420) = 0.1t + 0.1(3,420) = 0.1t + 342
Next, we can subtract 0.1t from both sides of the equation:
0.1t + 342 - 0.1t = t
This simplifies to:
342 = 0.9t
Finally, divide both sides of the equation by 0.9 to solve for t:
342 ÷ 0.9 = t
After evaluating the division, we find that t ≈ 380.