1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Gnom [1K]
3 years ago
7

A particular​ country's exports of goods are increasing exponentially. The value of the​ exports, t years after 2008​, can be ap

proximated by ​V(t)equals1.4 e Superscript 0.039 t where tequals0 corresponds to 2008 and V is in billions of dollars.
Mathematics
1 answer:
Alex_Xolod [135]3 years ago
3 0

Answer:

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

V(0)= 1.4e^{0.039*0}= 1.4

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

V(12) = 1.4 e^{0.039*14}=2.417

b) 2.8 = 1.4 e^{0.039 t}

We can divide both sides by 1.4 and we got:

2 = e^{0.039 t}

Now natural log on both sides:

ln (2) = 0.039 t

t = \frac{ln(2)}{0.039}= 17.77 years

Step-by-step explanation:

For this case we have the following model given:

V(t) = 1.4 e^{0.039 t}

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:

V(0)= 1.4e^{0.039*0}= 1.4

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

V(12) = 1.4 e^{0.039*14}=2.417

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:

2.8 = 1.4 e^{0.039 t}

We can divide both sides by 1.4 and we got:

2 = e^{0.039 t}

Now natural log on both sides:

ln (2) = 0.039 t

t = \frac{ln(2)}{0.039}= 17.77 years

You might be interested in
What Is the volume ?
MrMuchimi
336......?? find the area of cross section and than multiply with the lenght
5 0
3 years ago
Read 2 more answers
Round 6.14 to the nearest tenth <br> (this is 5th grade math)
Liula [17]

Answer:

<h2>6.14 rounded to the nearest tenth is 6.1.</h2><h2></h2><h2>I hope it helps.</h2><h2>Have a great day.</h2>

6 0
3 years ago
Polygon A is similar to polygon B. The sides of polygon A are twice the length
mario62 [17]

Answer:

then the perimeter of polygon B will also be twice of perimeter of polygon A

8 0
2 years ago
Read 2 more answers
What additional information do you need to prove △ABC ≅ △DEF by the SSS Postulate?
borishaifa [10]
The answer to this question is answer choice A.

We want three pairs of congruent sides, but we only have 2 pairs in the image. If AB is congruent to DE, we'll have 3 pairs of congruent sides and the triangle will be proven congruent by the SSS postulate.

Hope this helps! :)
7 0
3 years ago
How can i solve this problem 6 2/3+5/4
Marysya12 [62]
Use PEMDAS
1. Parenthesis 
2. Exponents
3. Multiplication
4. Division 
5. Addition 
6. Subtraction 
4 0
2 years ago
Read 2 more answers
Other questions:
  • The boxes are shaped as right rectangular prisms. The larger box has a length of 24cm a width of 10 cm, and height of 30cm. The
    11·1 answer
  • Write an equation of the line that passes through the given points.<br><br> (-2,7) and (1,-2)
    5·1 answer
  • What is the domain of f(x) = cos(x)?
    11·2 answers
  • christa buys an alarm clock for 45% the store increases the purchase price of the clock by 150%? what is the new sales price of
    12·2 answers
  • Paula received a paycheck of $585. This amount reflects her weekly earnings less 10% of her earnings for deductions. How much wa
    6·1 answer
  • Prove the identity and include the rule
    11·1 answer
  • Your cookie recipe calls for 3/4 cup of flour. You want to make 3 batches of cookies. Which diagram shows how much flour you nee
    6·1 answer
  • Find the perimeter of LMNO. (Hint: Solve for x and y first.)
    12·2 answers
  • A system of linear equations is graphed on this coordinate grid.
    7·1 answer
  • Write a linear function f with f(0)=3
    10·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!