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
Please help me solve.
Bingel [31]

Answer:

Consultant B :)

Step-by-step explanation:

6 0
3 years ago
Answer these 5 question and you can have 35 points
Tems11 [23]

Answer:

Step-by-step explanation:

1: no

2: no

3: Mario Kart (duh)

4: Netflix of XOD

5: I dont know. There are many reasons he should but many reasons he shouldn't.

7 0
3 years ago
Read 2 more answers
What is the median of 12,8,5,6,1,10,13,11
neonofarm [45]
The median is the middle value, so put them all in numerical order, (1,2,4,6,7, ect.), and find the middle. If there is two numbers in the middle find the number exactly between them.
Hope this helps!
3 0
2 years ago
Given the following exponential function, identify whether the change represents
siniylev [52]

Hello there!

Using the given exponential function of y = 64(0.97)^x, we can tell that it is a decaying exponential function since the rate is less than 1.

The percent of decrease is 3% since 97% of the value is retained per x time.

8 0
3 years ago
Please help. I can not figure it out. I will mark brainliest.
zhuklara [117]
(0,30), (1,20)
(20-30)/(1-0) = -10/1 = -10 slope
We know y intercept is 30
Equation: y = -10x + 30
6 0
2 years ago
Other questions:
  • Graph the lines by finding the points of intersection with the axes (intercepts):
    11·2 answers
  • Question 1: Marty wants to plant grass in a rectangular section of his backyard. The section where he wants grass measures 6.62
    8·1 answer
  • F(x)=-2x+3 how do you find x if f(x) = 11
    14·1 answer
  • Simplify 3 11/5 divided by 3 -9/5
    5·1 answer
  • 13+2x+y+90=180<br> 4x+1+8x-2y=180
    7·1 answer
  • -2m(m + n - 4) + 5(-2m + 2n) + n(m + 4n - 5)
    8·1 answer
  • What is 40% as a fraction in simplest form?
    13·2 answers
  • A poll reported 42% of voters favor the Republican candidate in an upcoming election. Assume that this percentage is true for th
    7·1 answer
  • 2cm<br> 10<br> 2.5 cm<br> 2.5 cm<br> 2 cm<br> 3 cm<br> 6 cm<br> 5 cm
    5·1 answer
  • Which of the following equations is not a true statement?
    15·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!