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Question : Use the compound amount formula A : 2151619

MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question.

19) Use the compound amount formula A = P(1 + (r/n)^{nt} to find the accumulated amount on an investment of $500, invested at an interest rate of 5% for 2 years, if the interest is compounded annually.

A) $525.31

B) $551.25

C) $18,000.00

D) $1,050.00

20) Evaluate: 2-3

A) (1/8)

B) 8

C) (-1/8)

D) -8

21) Evaluate: 25

A) (-1/32)

B) -32

C) (1/32)

D) 32

22) Evaluate: 5-1.2

A) 0.145

B) 2.44

C) -6.899

D) -6

23) Use the compound amount formula A = P(1 + (r/n)^{nt }to find the accumulated amount on an investment of $2000, invested at an interest rate of 6% for 10 years, if the interest is compounded quarterly.

A) $3,628.04

B) $3,612.22

C) $20,300.00

D) $16,543.61

Evaluate using a scientific calculator. Express answer rounded to three decimal places.

24) e^{3.6}

A) 36.898

B) 32.523

C) 9.786

D) 36.598

25) e^{2.88}

A) 7.829

B) 17.814

C) 17.732

D) 15.154

26) e^{-2.8}

A) 0.361

B) -0.061

C) -7.611

D) 0.061

Evaluate using a scientific calculator. Round the answer to three decimal places.

27) e^{1.7}

A) 4.231

B) 4.621

C) 5.774

D) 5.474

28) e^{-1.3}

A) -3.534

B) 0.573

C) -0.273

D) 0.273

Solve the problem.

29) The function D(h) = 5e^{-0.4h} can be used to determine the milligrams D of a certain drug in a patient's bloodstream h hours after the drug has been given. How many milligrams will be present after 12 hours? Round the answer to two decimal places.

A) 1.62 mg

B) 2.97 mg

C) 0.04 mg

D) 607.55 mg

30) A sample of 1,000 g of lead-210 decays to polonium-210 according to the function given by A(t) = 1,000e^{-0.032t}, where t is time in years. What is the amount of the sample after 70 years? Round the answer to the nearest gram.

A) 77 g

B) 29 g

C) 106 g

D) 9,393 g

31) The growth in the mouse population at a certain county dump can be modelled by the exponential function A(t)= 746e^{0.028t}, where t is the number of months since the population was first recorded. Estimate the population after 34 months.

A) 1,988 mice

B) 967 mice

C) 767 mice

D) 1,933 mice

Use the compound interest formulas A = P(1 + (r/n)^{nt} and A = Pe^{rt} to solve.

32) Find the accumulated value of an investment of $8,000 at 6.25% compounded annually for 19 years.

A) $17,000.00

B) $17,500.00

C) $23,823.79

D) $25,312.78

33) Find the accumulated value of an investment of $11,000 at 6% compounded semi-annually for 7 years.

A) $16,539.93

B) $15,620.00

C) $16,638.49

D) $13,528.61

34) Find the accumulated value of an investment of $1,900 at 8% compounded quarterly for 2 years.

A) $2,204.00

B) $2,226.15

C) $2,216.16

D) $1,976.76

35) Find the accumulated value of an investment of $1,640 at 7.75% compounded annually for 17 years.

A) $3,673.60

B) $5,833.61

C) $5,414.03

D) $3,800.70

36) Find the accumulated value of an investment of $2,000 at 7% compounded continuously for 3 years.

A) $2,420.00

B) $2,467.36

C) $2,450.09

D) $2,567.36

37) Suppose that you have $3,000 to invest. Which investment yields the greater return over 5 years: 7.5% compounded continuously or 7.6% compounded semi-annually?

A) Both investment plans yield the same return.

B) $3,000 invested at 7.5% compounded continuously over 5 years yields the greater return.

C) $3,000 invested at 7.6% compounded semiannually over 5 years yields the greater return.

Provide an appropriate response.

38) The compound amount when an investment is compounded continuously is A = Pe^{ni} Where A = compound amount, P = original principal, n = # of years, and i = interest rate per year. Let P = 200, I = 0.06, and n = 4, then find A.

A) $2034.00

B) $254.42

C) $508.50

D) $1,017.00

39) Charlie invested $2400 at an interest rate of 5% for 5 years, where it was compounded continuously. If A = Pe^{ni}, calculate the accumulated amount.

A) $3,081.66

B) $6,163.32

C) $24,653.29

D) $12,326.64

40) A suburb city presently has a population of 250,000 people. In 25 years, what would its estimated population be if P = Poe0.02t?

A) 3,297,443

B) 824,361

C) 412,180

D) 1,648,721