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
ddd [48]
3 years ago
15

In an over-fished area, the catch of a certain fish is decreasing exponentially.? Use k=0.084 to determine how long will it take

for the catch to reach half of its current amount?
Mathematics
1 answer:
kvv77 [185]3 years ago
5 0
The answer is 8.25 years

The exponential function can be expressed as:
A = P * e^(kt)
A - the final amount
P - the current amount
k - the rate
t - time in years

If the final amount is the half of its current amount, then:
A = P/2

So, 
A = P * e^(kt)
P/2 = P * e^(kt)

Divide P from both sides:
1/2 = e^(kt)

Logarithm both sides with natural logarithm:
ln(1/2) = ln(e^(kt))
ln(0.5) = kt * ln(e)

k = -0.084
-0.693 = -0.084 * t * 1
-0.693 = -0.084t
t = -0.693 / -0.084
t = 8.25 years

You might be interested in
Matt is the catcher for his school's baseball team. The catcher must be able to throw from home plate to second base. What is th
Oduvanchick [21]

Answer:

Step-by-step explanation:

127.3

4 0
3 years ago
Read 2 more answers
What is the slope of the line that passes through the points (-4, 8) and (−14,8)?
Lana71 [14]

Answer:

0

Step by Step Explanation:

7 0
3 years ago
a map of South Carolina is being made to a scale of 1/2 inches equals 50 miles. Greenville is 230 miles from Myrtle beach. how f
Olin [163]
All you have to do here is multiply 230 by .5 and you get 115.

They are 115 inches apart on the map.

Hope this helped! :)
7 0
3 years ago
Read 2 more answers
If the measure of angle 4 is (11 x) degrees and angle 3 is (4 x) degrees, what is the measure of angle 3 in degrees?
GarryVolchara [31]

Answer:

B

Step-by-step explanation:

Angle 4 × Angle 3 = 90

Complementary angles

11x + 4x = 90

15x = 90

x = 6

Angle 3 = 4x = 4(6) = 24°

5 0
3 years ago
Read 2 more answers
Find the area of the circle given the following information. Give the exact answer and an approximation to the nearest tenth.
SpyIntel [72]
A = 3.14 x r^2
= 3.14 x 6^2
= 3.14 x 36
= 103.62
8 0
3 years ago
Read 2 more answers
Other questions:
  • Question 13
    12·2 answers
  • the formula F = 9/5 (K-273.15) + 13 converts a temperature in Kelvin K to Fahrenheit F. Solve the formula for K.
    10·1 answer
  • Gomez spent 5/8 of his money on a gift for his brother and 1/6 of his money on a card. He saved the rest of his money
    15·1 answer
  • -10p+9p=12 solve this for me please with work shown
    15·2 answers
  • Plz help!I don’t understand
    8·1 answer
  • Mrs Perry, shares out 35 biscuits between gemma and zak in the ratio of 1:6. How many biscuits does gemma and zak get?
    14·1 answer
  • What is 12 over 35 simplified
    5·2 answers
  • What is
    11·2 answers
  • PLS HELP WILL GIVE BRAINLIEST
    14·1 answer
  • Please helppp!! i will hand brainlist and 19 points aswell thank you :)
    5·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!