Question

Shanisha deposited money into a CD (Certificate of Deposit) 20 years ago and has not deposited or withdrawn any money since then. The following table shows the amount of money in Shanisha’s CD over time. 4) E. coli is an interesting bacteria. It can reproduce asexually, which means that a bacterium does not need a partner to reproduce. Under ideal conditions, a small population of e. coli can double every 20 minutes. Assuming that the ideal conditions are met, about how long would it take for a single e. coli bacterium to create a colony with more than 10,000 bacteria? Hint: � = 1(2) ( )* a. 100 min b. 180 min c. 270 min d. 800 min Years since investment 0 10 18 20 Investment $600 925.33 1308.61 1427.05

Find the equation that describes Shanisha’s investment, y, in terms of the elapsed years, t.

a. y = 600 ⋅ 2 1/30

b. y = 600 ⋅ 0.513 1

c. y = 600 ⋅ 2 1/16

d. y = 600 ⋅ e 16t

Answer #1

Problem 1

The given values follow the third equation, i.e.

Years since investment | Investment |

0 | $600 |

10 | $925.33 |

18 | $1308.61 |

20 | $1427.05 |

Problem 2

The behavior, i.e. rate of population growth of e.Coli can be modeled by the exponential function

so that after 20 minutes, the value shall double. Hence, with N(0) = 1 and N(t) = 10,000

E. coli is an interesting bacteria. It can reproduce asexually,
which means that a bacterium does not need a partner to reproduce.
Under ideal conditions, a small population of e. coli can double
every 20 minutes. Assuming that the ideal conditions are met, about
how long would it take for a single e. coli bacterium to create a
colony with more than 10,000 bacteria?
a. 100 min
b. 180 min
c. 270 min
d. 800 min

E. coli is an interesting bacteria. It can reproduce asexually,
which means that a bacterium does not need a partner to
reproduce. Under ideal conditions, a small population
of e. coli can double every 20 minutes. Assuming that the ideal
conditions are met, about how long would it take for a single e.
coli bacterium to create an ecoli colony with more than 10000
bacteria? Show your work.

4. How much money needs to be deposited into a certificate of
deposit (CD) account to be able to withdraw 50,000.00 from the
account at the end of 10 years if the interest rate is 2%
compounded monthly?

Sarah has $2,500 that she wants to invest in a European
certificate of deposit (CD). The spot exchange rate (dollars per
euro) ise$/€=1.13 If the minimum investment
required in the CD is €2,000, does Sarah have sufficient funds? If
not, what is the shortfall (in Euros)? If so, how much surplus does
Sarah have (in euros)? NOTE: This is not a multiple-choice problem.
Show your work to receive credit for the problem.
Suppose the euro/Australian dollar exchange rate increases from...

1. John invested $20,000 fifteen years ago with an insurance
company that has paid him 8 percent (APR), compounded quarterly
(every 3 months). How much interest did John earn over the 15
years? a. $2,416.08 b. $45,620.62 c. $24,000.00 d. $28,318.95 e.
$65,620.62
2. You are running short of cash and really need to pay your
tuition. A friend suggests that you check out the local title pawn
shop. At the shop they offer to loan you $5,000 if you...

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