The value of a particular investment follows a pattern of exponential growth. In

Question

The value of a particular investment follows a pattern of exponential growth. In the year 2000, you invested money in a money market account. The value of your investment 1 year after 2000 is given by the exponential growth model A = 2600 c^0.045t. When will the account be worth $3898? 2011 2009 2010 2008 The function A = Age^-0.01386x models the amount in pounds of a particular radioactive material stored in a concrete vault, where x is the number of years since the material was put into the vault it pounds of the material are initially put into the vault, how many pounds will be left after 120 years? 480 pounds 76 pounds 300 pounds 83 pounds

Explanation / Answer

A = 2600 e^.045t

plugging A = 3898

3898 = 2600 e^.045t

dividing both sides by 2600

3898/2600 = e^.045t

taking natural log on both sides

ln 3898/2600 = 0.045 t

t = 8.998

so , in the year 2009 the account be worth $ 3898

2) A = Ao e^-0.01386x

A = 400 e^-0.01386x

plugging x = 120

A = 400e^-0.01386(120)

A = 75.81

so approximately 76 pounds is left after 120 years

option 2 is correct

Related Questions

Navigate

• Browse (All)
• Browse T
• Subjects

---

---

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.