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
Stels [109]
3 years ago
13

The number of a particular fish in thousands x years after 1972 can be modeled by f(x)=230(0.886)x. Estimate the year when the n

umber of fish reached 99 thousand.
Mathematics
1 answer:
sashaice [31]3 years ago
8 0

Answer:

The year is 1979.

Step-by-step explanation:

Given:

The function relating fish population and number of years since 1972 is:

f(x)=230(0.886)^x\\Where,\ f(x)\rightarrow \textrm{fish population}\\x\rightarrow \textrm{number of years passed after 1972}

Now, when the fish population reaches 99 thousand, it means that f(x)=99. Now, plugging in f(x)=99 in the above equation and solving for x. This gives,

99=230(0.886)^x\\\frac{99}{230}=0.886^x\\\\\textrm{Taking natural log on both sides}\\\ln(0.886)^x=\ln(\frac{99}{230})\\\\\textrm{Using log property: }\log a^b=b\log a\\x\ln (0.886)=\ln(0.43)\\x\times (-0.12)=-0.84\\x=\frac{-0.84}{-0.12}=7\ years

Therefore, the year after 7 years passed since 1972 is given as:

1972 + 7 = 1979.

So, the year when the number of fish reaches 99 thousand is 1979.

You might be interested in
5th grade math. correct answer will be marked brainliest
monitta

Answer:

She got 9 multiple choice questions right.

She got 8 true/false questions right.

Step-by-step explanation:

you have to make them have a common denominator.

so multiply 4/5 by 2/2 and you get 8/10.

She got 9/10 multiple choice answers right and 8/10 true/false answers right.

5 0
2 years ago
Read 2 more answers
Please help ive been stuck!!
Kobotan [32]
I would say no, if you follow the lines on the graph, 12 on the x axis and 5 on the Y axis they are not within the range indicated in gray.
8 0
3 years ago
Order the rational numbers from least to greatest
sladkih [1.3K]

Answer:

-45/7

-7/7

-4/7

0/7

6/7

9/7

5 0
2 years ago
Read 2 more answers
Josh currently bench presses 150lbs. He increases that amount by 10% for a month for 3 months. About how much can he bench press
dimaraw [331]
He increased 30% so that means he can bench press 180lbs
7 0
3 years ago
Read 2 more answers
EASY FOR PEOPLE THAT KNOW HOW TO DO MATH, HELP NEEDED
SIZIF [17.4K]

Answer:

1 and 5/24 gallon left

Step-by-step explanation:

https://www.slader.com/discussion/question/mark-wants-to-paint-a-mural-he-has-113-gallons-of-yellow-paint-114-gallons-of-green-paint-and-78-g-2/

its a reliable link

3 0
2 years ago
Read 2 more answers
Other questions:
  • The cost to rent a hall for school functions is $60 per hour. Write an expression for the cause of renting the hall for h hours.
    12·1 answer
  • What is the definition of indemnity?
    9·2 answers
  • What is the equation of the line, in point-slope form, that passes through the points (4, 8) and (2,-2)?
    5·1 answer
  • Solve using the quadratic<br> 02 + 3r +3= 0<br> Asnwer
    10·1 answer
  • Medicine On a college campus of 5000 students, the spread of a flu virus through the student body is modeled by
    11·1 answer
  • Ashley brought 18 cans of cola to a party and mai brought 7 how many are there in total
    9·2 answers
  • Lucas makes a smoothie using the recipe (berries 3/8, mango 1/2, yogurt 3/4 cups), but he also adds almond milk. He makes two 8-
    14·1 answer
  • Would you rather watch spongebob or captin underpants ps. ion want these points :)
    15·2 answers
  • Please hurry up and answer i’ll mark brainliest
    7·1 answer
  • Y÷-9=3 solution please with every single steps​
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!