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
Rudik [331]
3 years ago
5

An initial population of 415

Mathematics
1 answer:
slamgirl [31]3 years ago
3 0

Answer:

The exponential function to model the duck population is:

f(n)=415*(1.32)^n, where:

x is the duck population

n is the number of years

Step-by-step explanation:

In order to calculate the duck population you can use the formula to calculate future value:

FV=PV*(1+r)^n

FV=future value

PV=present value

r=rate

n=number of periods of time

In this case, the present value is the initial population of 415 and the rate is 32%. You can replace these values on the formula and the exponential function to model the duck population would be:

f(n)=415*(1+0.32)^n

f(n)=415*(1.32)^n, where:

x is the duck population

n is the number of years

You might be interested in
Tony had an equal number of cranberry bars and walnut bars. He gave away 66 cranberry bars, he then had 4 times as many walnut b
Korolek [52]

Answer:

W=88

Step-by-step explanation:

4*(c-66)=c

4c-66*4=c

3c=66*4

c=22*4

c=88

w=88


4 0
2 years ago
Read 2 more answers
5/x - 3/4 =<br> Simplify
Verdich [7]

Answer:

\frac{20-3x}{4x}

Step-by-step explanation:

-This is an LCM problem.

-To simplify, we introduce a least common multiplier which is equivalent the product of the denominators:

LCM=x\times 4\\\\=4x

#We introduce the LCM and adjust the fractions based on it :

=\frac{5}{x}+\frac{3}{4}\\\\\\=\frac{20}{4x}+\frac{3x}{4x}\\\\\\=\frac{20-3x}{4x}

Hence, the simplified form of the fraction is: \frac{20-3x}{4x}

7 0
3 years ago
LCM of 14 and 49? Evaluate plz​
ICE Princess25 [194]

Answer:

98

Step-by-step explanation:

Express the numbers in terms of the product of  their prime factors

14 = 2 × 7

49 = 7 × 7 = 7²

Choose the factors which occur most often between the 2 numbers

LCM = 2 × 7² = 2 × 49 = 98

5 0
3 years ago
Help what are the answers im so stuck!
AnnZ [28]

Answer:

  see below

Step-by-step explanation:

A percentage change is computed as follows:

  percent change = ((new value) -(original value))/(original value) × 100%

For your first one, this looks like ...

  percent change = ($25 -$75)/$75 × 100% = (-50/75) × 100% = -0.667×100%

  percent change = -66.7%

__

When there are a lot of similar calculations to do, I like to use a spreadsheet. See below for the other percentage changes (rightmost column).

4 0
3 years ago
Which equation represents a line that has a slope of -1/2 and passes through point (4, –5)?
Wewaii [24]
Y=-1/2x-3

You can rewrite the equation “y=mx+b” and fill in what you know. So your equation would look like y=-1/2x+b when filling in what you know. Now you can take the (x,y) coordinates that you were given and plug them into the equation and solve for b. So now it would be -5=-1/2(4)+b
8 0
3 years ago
Read 2 more answers
Other questions:
  • What are the powers of 3 in the range of 3 to 1,000?
    7·2 answers
  • What is the solution to the inequality |3x| &gt;= 0
    10·2 answers
  • After one customer buys 4 new tires, a garage recycling bin has 20 tires in it. After another customer buys 4 tires, the bin has
    14·1 answer
  • Write an expression that is equal to -(16-9)
    14·2 answers
  • The sum of a number and 3 times a second number is represented by a+3b= 39. The sum of half the of the first number and 1/3 of t
    5·1 answer
  • At a cafe, for every 8 hot dogs sold there are 11 hamburgers sold. What is the ratio of hot dogs sold to hamburgers sold?
    5·2 answers
  • Determine the x-intercept of the graph
    7·1 answer
  • Can someone please help me with math.
    6·1 answer
  • NEED HELP PLSSSSSS HELP MEEE
    8·2 answers
  • What is the value of 6 in 70,681? Explain how you know.
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!