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
nirvana33 [79]
3 years ago
11

In 2013, the moose population in a park was measured to be 5,100. By 2018, the population was measured again to be 5,200. If the

population continues to change exponentially, find an equation for moose population, P, as a function of t, the years since 2013
Mathematics
1 answer:
natka813 [3]3 years ago
5 0

Answer:

P(t) = 5100e^{0.0039t}

Step-by-step explanation:

The exponential model for the population in t years after 2013 is given by:

P(t) = P(0)e^{rt}

In which P(0) is the population in 2013 and r is the growth rate.

In 2013, the moose population in a park was measured to be 5,100

This means that P(0) = 5100

So

P(t) = 5100e^{rt}

By 2018, the population was measured again to be 5,200.

2018 is 2018-2013 = 5 years after 2013.

So this means that P(5) = 5200.

We use this to find r.

P(t) = 5100e^{rt}

5200 = 5100e^{5r}

e^{5r} = \frac{52}{51}

\ln{e^{5r}} = \ln{\frac{52}{51}}

5r = \ln{\frac{52}{51}}

r = \frac{\ln{\frac{52}{51}}}{5}

r = 0.0039

So the equation for the moose population is:

P(t) = 5100e^{0.0039t}

You might be interested in
. A pack of baseball cards has 12 trading cards and 2 stickers. In a
erik [133]
Answer:
432 cards and 72 stickers
Explanation:
1 pack=12 cards + 2 stickers
So if we want 36 packs..
36 packs=433 cards + 72 stickers
We times everything by 36!
3 0
3 years ago
1.What is the equation of the line perpendicular to  that passes through ? Write your answer in slope-intercept form. Show your
Juliette [100K]

Answer:

1. Use a compass to make arc marks which intersect above and below then connect.

2. y=\frac{1}{3}x + 2

Step-by-step explanation:

1. To construct a perpendicular line, use a compass to draw arc marks from one end of the segment through point P. Then repeat this again at the other end. This means at point P there will be two intersecting arc marks. Repeat the process down below with the same radius as used above. Then connect the two intersections.

2. The point slope form of a line is (y-y_1)=m(x-x_1) where x_1=-3\\y_1=1. We write  

(y-1)=m(x--3)\\(y-1)=m(x+3)  

Since the line is to be perpendicular to the line shown it will have the negative reciprocal to the slope of the function 3x+y =-8. To find m, rearrange the function to be y=-8-3x. The slope is -3 and the negative reciprocal will be 1/3.

(y-1)=\frac{1}{3}(x+3)  

Simplify for slope intercept form.

(y-1)=\frac{1}{3}(x+3)\\(y-1)=\frac{1}{3}x+1\\y=\frac{1}{3}x + 2


3 0
3 years ago
Luis earns a base salary of $150.00 every week with an additional 14% commission on everything he sells. If Luis sold $6,050.00
max2010maxim [7]
Luis earns a solid $150 and that doesn't change, now you need to calculate 14% of $6,050. 
x=150+(0.14x6050)
    150+(847)
    997
Luis was paid $997.
3 0
3 years ago
Read 2 more answers
Some friends played a board game. During the​ game, one unlucky player had to move back 8 spaces 5 turns in a row. Find a number
mojhsa [17]

Answer:

I think that it would be -40

Step-by-step explanation:

I think this because they had to go back 40 spaces because 8 x 5 = 40.

7 0
3 years ago
Ben is 4 times as old as ishaan and is also 6 years older than ishaan
Veseljchak [2.6K]
Ben - 8 years old
Ishaan - 2 years old
4 0
3 years ago
Read 2 more answers
Other questions:
  • Which postulate proves that the two triangles are congruent?
    11·2 answers
  • if the original cost of a bike is $110 then the mark down percent changes the price to $96 then what is the percent decrease?
    14·2 answers
  • The cost of 10 oranges is 1.00 what is the cost of 5 dozen oranges
    10·2 answers
  • -20 divided 2+ (-15)=
    5·1 answer
  • Danielle and Emilia brought apples, bananas, and oranges to a fruit sale.
    6·1 answer
  • What is the measure of ZRCP in the figure below?
    7·1 answer
  • Marcus needs 550 tickets to get the prize he wants at the arcade. He already has 125 tickets and can earn 24 tickets each time h
    8·1 answer
  • Plzz hurry helpp I’ll give brainliest
    13·2 answers
  • What's a 3 number multiplication that = 1000?
    11·2 answers
  • What is the slope of the line // to y= -4/5x + 6?
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!