BuyFind

Precalculus: Mathematics for Calcu...

6th Edition
Stewart + 5 others
Publisher: Cengage Learning
ISBN: 9780840068071
BuyFind

Precalculus: Mathematics for Calcu...

6th Edition
Stewart + 5 others
Publisher: Cengage Learning
ISBN: 9780840068071

Solutions

Chapter 2, Problem 60RE

a.

To determine

To find the annual amount (in dollars) deposited using the given function D(t)=3500+15t2for t=0 and t=15.

Expert Solution

Answer to Problem 60RE

The annual amount (in dollars) deposited using the given function D(t)=3500+15t2for t=0 and t=15is D(0)=3500 and D(15)=6875.

Explanation of Solution

Given information: Consider the function, D(t)=3500+15t2

Calculation: Substitute t=0 and t=15,

  D(0)=3500+15(0)2        =3500Now,D(15)=3500+15(15)2=3500+15(225)=3500+3375=6875

  D(15) is 6875

In 1995 Ella has deposited 3500 dollars and in 2010 she got back 6875 dollars.

is what the value of represents.

b.

To determine

To determine the year will she deposit $17,000 to be modeled by the function D(t)=3500+15t2

Expert Solution

Answer to Problem 60RE

The year that she will deposit $17,000 to be modeled by the given function = 30 years.

Explanation of Solution

Given information: Consider the function, D(t)=3500+15t2

Calculation:

The given function,

  D(t)=1700017000=3500+15(t)2or,15(t)2=17000350015(t)2=13500(t)2=1350015(t)2=900t=30

Hence after 30 years Ella will get $17,000 .

c.

To determine

To find the average rate of change of D between t=0 and t=15 for the function D(t)=3500+15t2 .

Expert Solution

Answer to Problem 60RE

The average rate of change of D between t=0 and t=15 is $225 per year., and this represents the average annual increase.

Explanation of Solution

Given information: Consider the function, D(t)=3500+15t2

Calculation:

Since in Ella deposited $3500 (when t=0 ) and she got back $6875 $ 6875 (when t=15 ).

So, the difference in 15 years is calculated as,

  68753500=3375

Now the average rate of change of D between

  t=0t=15337515=225

Hence, $225 per year is the average rate of change and this represents average annual increase.

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