A particular country's exports of goods are increasing exponentially. The value of the exports, t years after 2008, can be approximated by V(t)equals1.4 e Superscript 0.039 t where tequals0 corresponds to 2008 and V is in billions of dollars.

a) For 2008 we have that t = 2008-2008 = 0 and we have:

For 2022 we have that t = 2022-2008=14 and if we replace we got:

b)

We can divide both sides by 1.4 and we got:

Now natural log on both sides:

Step-by-step explanation:

For this case we have the following model given:

Where V represent the exports of goods and the the number of years after 2008.

Part a

Estimate the value of the country's exports in 2008 and 2022

For 2008 we have that t = 2008-2008 = 0 and we have:

For 2022 we have that t = 2022-2008=14 and if we replace we got:

Part b

What is the doubling time for the value of the country's exports.

For this case we can set up the following condition:

We can divide both sides by 1.4 and we got:

Now natural log on both sides:

b

2

−

b

b

3

+

7

b

2

+

14

b

+

6

%

−

3

b

3

+

7

b

2

+

14

b

+

6

%

step-by-step explanation:

here is your mark brainliest