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
ioda
3 years ago
14

The exponential decay graph shows the expected depreciation for a new boat, selling for $3500, over 10 years a. Write an exponen

tial function for the graph.
b. Use the function in part a to find the value of the boat after 9.5 years.
Mathematics
2 answers:
Alex Ar [27]3 years ago
4 0
For the answer to the question above,  
<span>V(n) = a * b^n, where V(n) shows the value of boat after n years. 
V(0) = 3500 
V(2) = 2000 

n = 0 
V(0) = a * b^0 = 3500 
a = 3500 

V(2) = a * b^2 
2000 = 3500 * b^2 
b = sqrt (2000/3500) 
b ≈ 0.76 

V(n) = 3500 * 0.76^n 

We can check it for n = 1 which is close to 2500 in the graph: 
V(1) = 3500 * (0.76)^1 
V(1) = 2660 

And in the graph we have V(3) ≈ 1500, 
V(n) = 3500 * (0.76)^3 ≈ 1536 

Now n = 9.5 
V(9.5) = 3500 * (0.76)^(9.5) 
V(9.5) ≈ 258</span>
mamaluj [8]3 years ago
4 0

Answer:

y = 3500 e^(-k⋅ 9.5)

Step-by-step explanation:

The exponential decay graph shows the expected depreciation for a new boat, selling for $3500, over 10 years a. Write an exponential function for the graph.

b. Use the function in part a to find the value of the boat after 9.5 years.

Explanation:

Exponential equation is given by

y = 3500 ⋅ e^( k 9.5)

whereby:

y : value

A : constant;

k : rate of change

t : time value

In this when t =0

3500= A ⋅ e^ k 0

3500 = A

after 10 years we  have

y=3500e^{-k10}

, after 9.5 years, the value of the boat is:

y = 3500 e^(-k⋅ 9.5)

k is the rate of change and it shows that it is negative because there is a depreciation in value. Note that the rate of change is not given in this case.

You might be interested in
‼️‼️‼️‼️‼️ is two correct? Also what’s number 3?‼️‼️‼️‼️
LenaWriter [7]

Answer:

C) P AND E

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
Deisha saved d dollars last month. This month she saved $8 more than 3 times the amount she saved last month. She saved a total
DaniilM [7]

Answer:

Step-by-step explanation:

3 0
2 years ago
Denise lives in a two-story house with a basement. The first
Umnica [9.8K]

Answer:

Distance = 110.5 cm

Step-by-step explanation:

It is given that,

The basement floor is at  an elevation of −10.5 feet

The second story floor has an  elevation of 121 feet.

We need to find the distance between the basement floor and the second story floor.

Distance = -10.5 + 121

= 110.5 feet

So, the distance between the basement floor and the second story floor is 110.5 cm.

7 0
2 years ago
Please help I am confused multiplying fractions as a mixed number
Zielflug [23.3K]
The answer would be 143/220
3 0
3 years ago
Read 2 more answers
Why will the value of y for the function y equals 5x + 1 always be greater than that of y equals 4x + 1 when X is greater than 1
mezya [45]

"Why?" in math has various meanings.

Let's solve

5x +1 > 4x + 1

That's easily solved,

5x - 4x > 1 - 1

x > 0

Since x>1 is included in x>0, it's in the solution set to the above inequality, so all such x make the inequality true.

6 0
3 years ago
Other questions:
  • Find the area of the shaded sections. Click on the answer until the correct answer is showing.
    14·2 answers
  • Liz wants to buy her favorite musical group’s new CD. The CD costs $15.24, including tax. Liz gives the store clerk a twenty-dol
    5·2 answers
  • Help I don’t understand this ‍♀️
    13·2 answers
  • An acre is 43,560 square feet. What is the value of 3 in 43,560
    10·1 answer
  • 5 times a number increased by 18 is the same as 36 more than times 4 times the number. Find the number
    7·1 answer
  • MARKING BRAINLIEST, PLEASE HELP. <br><br> Find the value of x, show your work.
    7·2 answers
  • If Kerr is 38 years older than her daughter, in five years will be five times older . How old is her daughter,
    5·1 answer
  • Find the least common multiple (LCM) for the pair of<br> numbers 6 and 18.
    10·1 answer
  • Which statement correctly describes this expression? 2m^3 -11
    15·1 answer
  • So far this year, Adam has played 30 games of chess and has only won 6 of them. What is the minimum number of additional games h
    8·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!