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
kherson [118]
3 years ago
15

A population of fish in a lake is 14000 in 2010. The population decreases 6% annually. What is the population in 2019

Mathematics
1 answer:
kodGreya [7K]3 years ago
6 0

Answer:

8022.

Step-by-step explanation:

Let x be the number of years after 2010.

We have been given a population of fish in a lake is 14000 in 2010. The population decreases 6% annually.

We can see that population of fish is the lake is decreasing exponentially as it is decreasing 6% annually.

Since we know that an exponential function is in form: y=a*b^x, where,

a = Initial value,

b = For decrease or decay b is in form (1-r) where r represents decay rate in decimal form.

Let us convert our given decay rate in decimal form.

6\5=\frac{6}{100}=0.06

Upon substituting our given values in exponential form of function we will get the population of fish in the lake after x years as:

y=14,000*(1-0.06)^x

y=14,000*(0.94)^x

Let us find x by subtracting 2010 from 2019.

x=2019-2010=9

Upon substituting x=9 in our function we will get,

y=14,000*(0.94)^9

y=14,000*0.5729948022286167

y=8021.927\approx 8022

Therefore, the population of fish in 2019 will be 8022.

You might be interested in
How do i find the circumference of a circle
Molodets [167]
You have to do 3.14 times the diameter of the circle.
8 0
2 years ago
Read 2 more answers
A sales person at a car dealership earns A monthly salary of $2400 and $250 for each vehicle sold how many vehicles is the sales
Ivahew [28]

Answer:

Step-by-step explanation:

Let x represent the number of vehicles that the sales person sold in a month.

The sales person at the car dealership earns a monthly salary of $2400 and $250 for each vehicle sold. Let y represent the total amount he earns for selling x vehicles in a month. Therefore,

y = 250x + 2400

To determine the number of vehicles that the sales person needs to sell in a month to earn exactly $4000, we would substitute

4000 for y. It becomes

4000 = 250x + 2400

250x = 4000 - 2400 = 1600

x = 1600/250

x = 6.4

He would have to sell 7 vehicles because he cannot sell 6.4 vehicles and if he sells 6 vehicles, it would be lesser than $4000

8 0
2 years ago
It takes 40 units of maple sap to produce 1 ounce of maple syrup. Jane and her family are bottling maple syrup in 20 -ounce bott
Setler [38]

Answer:

10,800

-1200

Step-by-step explanation:

Given that :

40 units of maple sap = 1 ounce of maple syrup

Using a 20 - ounce bottle, 2 ounces of air is left

Ounces of actual syrup = (20 - 2) = 18 ounces

Number of maple sap required to fill 15 bottles :

Number of maple saps required to fill 18 ounces bottle :

40 units = 1 ounce

x = 18 ounces

Hence, for 18 ounces of maple syrup :

(40 * 18).= 720 units of maple sap

For 15 bottles of 18 ounces maple syrup:

(720 * 15) = 10,800 units of maple sap

If they had filled each bottle to the top:

(40 * 20 * 15) = 12000 units of maple sap

10,800 - 12000 = - 1200 units of maple sap

5 0
3 years ago
A researcher wants to see if birds that build larger nests lay larger eggs. He selects two random samples of nests: one of small
True [87]

Answer:

95% confidence interval for the difference between the average mass of eggs in small and large nest is between a lower limit of 0.81 and an upper limit of 2.39.

Step-by-step explanation:

Confidence interval is given by mean +/- margin of error (E)

Eggs from small nest

Sample size (n1) = 60

Mean = 37.2

Sample variance = 24.7

Eggs from large nest

Sample size (n2) = 159

Mean = 35.6

Sample variance = 39

Pooled variance = [(60-1)24.7 + (159-1)39] ÷ (60+159-2) = 7619.3 ÷ 217 = 35.11

Standard deviation = sqrt(pooled variance) = sqrt(35.11) = 5.93

Difference in mean = 37.2 - 35.6 = 1.6

Degree of freedom = n1+n2 - 2 = 60+159-2 = 217

Confidence level = 95%

Critical value (t) corresponding to 217 degrees of freedom and 95% confidence level is 1.97132

E = t×sd/√(n1+n2) = 1.97132×5.93/√219 = 0.79

Lower limit = mean - E = 1.6 - 0.79 = 0.81

Upper limit = mean + E = 1.6 + 0.79 = 2.39

95% confidence interval for the difference in average mass is (0.81, 2.39)

3 0
2 years ago
5x+3&lt;7+7x<br> Please explain in clear details
trasher [3.6K]

Answer:

5x just means 5 times so, 5 times a number(or variable)plus three is less than 7 times a number variable)plus 7

4 0
3 years ago
Other questions:
  • The amounts of household waste generated in a region during two years were 23,400,000 tons and 48,100,000 tons. What was the tot
    10·1 answer
  • What times blank equal 90 and a 100
    7·2 answers
  • A=2:b=5:c=? How do i find length of hypotenuse right angle triangles
    12·2 answers
  • Please help me answer this.​
    13·1 answer
  • You buy milk in 1 gallon containers. One portion of waffles requires 0.4 ounces of milk. How many portions can be made with one
    5·2 answers
  • Gina and rhonda work for different real estate agencies gina earns a monthly salary of $5,000 plus 6% commission on her salary r
    15·1 answer
  • Help me out.....please
    13·2 answers
  • Does anybody know what g(x)=3 when x ?
    7·1 answer
  • The function f is defined by the following rule.
    6·1 answer
  • I need to write an inequality that represents the fact that while making my product i can’t exceed the spending limitmy spending
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!