MAT 230 Ch 5

Find the equilibrium point.D(x) = 4 - x, 0 ≤ x ≤ 4; S(x) =

• (3, $6)
• (3, $1)
• (6, $3)
• (1, $18)

Find the consumer surplus at the equilibrium point.D(x) = 4 - x, 0 ≤ x ≤ 4; x = 3

• $12
• $1
• $4
• $4.50

Find the producer surplus at the equilibrium point.S(x) = x2 + 4; x = 1

• $4
• -$1.33
• -$4
• $0.67

Find the future value P of the amount P0 invested for time period t at interest rate k, compounded continuously. P0 = $30,000, t = 3 yr, k = 5%

• $34,500.00
• $34,955.03
• $34,728.75
• $34,855.03

Find the present value P0 of the amount P due t years in the future and invested at interest rate k, compounded continuously.P = $100,000, t = 12 yr, k = 7%

• $93,239.38
• $231,636.70
• $43,171.05
• $43,485.85

Solve the problem.Find the amount of the following continuous money flow:R(t) = t2 , k = 7%, T = 30 years

• $41,173.00
• $22,514.11
• $66,887.29
• $46,784.94

Solve the problem.Find the interest earned when $22,840 is invested at 6% compounded continuously for 5 years.

• $14,814.25
• $1567.90
• $15,895.50
• $7990.78

Solve the problem.Find the amount of a continuous money flow in which $900 per year is being invested at 7%, compounded continuously for 10 years.

• $25,891.11
• $91,237.74
• $13,033.96
• $38,748.25

Solve the problem.In 1990 the world reserves of aluminum ore stood at 75,000,000,000 tons. World use of aluminum that year was 100,000,000 tons, and the demand was growing exponentially at 10% per year. Assuming this growth rate continues, and no new deposits of ore are discovered, in what year will the world reserves of aluminum ore be exhausted?

• 2110
• 2079
• 2058
• 2033

Determine whether the integral is convergent or divergent.

• Divergent
• Convergent