solve the mathematical problems:

একটি নির্দিষ্ট স্থান থেকে দুইটি রাস্তা ৬০° কোণে চলে। দুইজন লোক ঐ নির্দিষ্ট স্থান থেকে যথাক্রমে ঘণ্টায় ৭ কিলোমিটার বেগে রওনা হলো। ৪ ঘণ্টা পরে তাদের মধ্যে সরাসরি দূরত্ব নির্ণয় করুন।

Mathematics

Rony and Jony are working on an assignment, Rony takes 6 hours to type 32 pages on a computer, while Jony takes 5 hours to type 40 pages. How much time will they take, working together on two different computers to type an assignment of 110 pages?

Mathematics

a, b and care positive integers. If b equals the square root of a, and if c equals the sum of a and b, what could be the value of c?

Differentiate financial and economic costs with suitable example. The total revenue (TR) and Average Cost (AC) functions of a firm are given by $$\begin{gathered} TR=4350Q-13Q^2 \\ AC=Q^2-5.5Q +150+675Q^2 \end{gathered}$$ Where Q refers to quantity of output. Find the profit maximizing level of output and maximum profit.

Suppose C=$35+0.80Yd, I = $70, G= $65, Tx = 0.10Y.

Find the equilibrium output,

Suppose C=$35+0.80Yd, I = $70, G= $65, Tx = 0.10Y.

What are the tax revenue at equilibrium output? Does the government have a balanced budget?