Distance covered while running = 10 km/h × 2 h = 20 km. Distance covered while walking = 5 km/h × 1 h = 5 km. Total distance = 25 km, total time = 3 h. Average speed = 25 km / 3 h = 8.33 km/h.

Distance = Speed × Time = 10 km/h × 2 h = 20 km.

Distance = Speed × Time = 12 km/h × 2 h = 24 km.

Distance = Speed × Time = 12 km/h × 2 h = 24 km.

If the ratio of teachers to students is 1:20, then for 1000 students, the number of teachers is 1000 / 20 = 50 teachers.

Let the total number of participants be x. According to the problem, 40% of x = 240. Therefore, x = 240 / 0.4 = 600.

Let the total number of participants be x. According to the problem, 60% of x = 240. Therefore, x = 240 / 0.6 = 400.

New total age = (30 × 10) - 40 = 260. New average = 260 / 9 = 28.89, which rounds to 29.

Total age = 40 × 10 = 400. New total age = 400 - 60 = 340. New average = 340 / 9 = 37.78, which rounds to 38.

Total age = 40 × 10 = 400. New total age = 400 - 60 = 340. New average = 340 / 9 = 37.78, which rounds to 38.

Using the formula A = P(1 + r)^n, we set 3P = P(1 + 0.1)^n. Solving gives n ≈ 12 years.

Using the formula A = P(1 + r)^n, we set A = 3P and solve for n, which gives approximately 12 years.

A buy-sell agreement outlines the terms under which a partner's share can be sold or transferred.

Fiduciary duty implies that partners must act in the best interest of the partnership.

A joint venture is typically a temporary partnership formed for a specific project or purpose.

Let the number of items be n. Total sum = 50n. After removing one number, the new sum = 48(n - 1). Setting up the equation gives the removed number as 52.

Let the integers be x, x+1, x+2. The average is (x + (x + 1) + (x + 2)) / 3 = 20. Solving gives x = 18.

New average = (72 * 5 + 80) / 6 = (360 + 80) / 6 = 440 / 6 = 73.33, which rounds to 74.

If the shorter side is 16 cm and the ratio is 4:5, then the longer side can be calculated as (5/4) * 16 cm = 20 cm.

The ratio of cats to dogs is 4:3. If there are 28 cats, we can set up the proportion: 4/3 = 28/x. Solving for x gives us x = 21. Therefore, there are 21 dogs.

In a limited partnership, at least one partner has limited liability, while others may have unlimited liability.

A key characteristic of a partnership is that it involves shared decision-making among the partners.

In a general partnership, all partners have unlimited liability, meaning they are personally responsible for the debts of the business.

SI = 1000 * 8/100 * 2 = $160. CI = 1000(1 + 0.08)^2 = $1166.4. Difference = $1166.4 - $160 = $24.

SI = 1000 * 5 * 2 / 100 = $100. CI = 1000[(1 + 0.05)^2 - 1] = $102.5. The difference is $2.5.

The primary advantage of a general partnership is its ease of formation and management, as it requires minimal formalities.

A limited partnership allows some partners to have limited liability, protecting their personal assets.

Partnerships generally have greater access to capital and resources due to the combined contributions of multiple partners.

Partnerships allow for increased capital and resources through contributions from multiple partners.

One of the primary advantages of partnerships is the ease of raising capital through the combined resources of the partners.