**Question:** Complete the table for a savings account subject to n compounding yearly [A=P(1+r/n)^nt]. Round the answer to one decimal point.

Amount invested | Number Of Compounding Periods | Annual Interest Rate | Accumulated Amount | Time t In Years |

$12,500 | 4 | 5.75% | $20,000 |

**Question:** Fed up with junk mail clogging your computer? Despite high-profile legislation and lawsuits, the bar graph shows that spam has flourished.

The function f(x) = 13.4 + 46.3 in x models the percentage of inbound email in the united states considered spam, f(x), x years after 2000.

- how well does the function model the data for 2003?
- If law enforcement against spammers does not change and the model is projected into the future, when will 96% of inbound e-mail be spam? Round to the nearest year.

**Question:** About the size of new jersey, Israel has seen its population soar to more than 6 million since it was established. With the help of U.S. aid, the country now has a diversified economy rivaling those of other developed western nations. By contrast, the Palestinians, living under Israeli occupation and a corrupt regime, endure bleak conditions. The graphs show that by 2050, Palestinians in the west bank, Gaza strip and east Jerusalem will outnumber Israelis. Exercises 7 involve the projected growth of these two populations.

- In 2000, the population of Israel was approximately 6.04 million and by 2050 it is projected to grow to 10 million. Use the exponential growth model. A= Aoe^kt, in which t is the number of years after 2000, to find an exponential growth function that models the data.
- In which year will israel's population be 9 million?

**Question:** The logistic growth function

P(x) = 90/1+ 271e^-0.122x

Models the percentage, P(x), of Americans who are x years old with some coronary heart disease.

Use the function to solve.

**Question:** What percentage of 80-years-olds have some coronary heart disease?

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