Mathematics College

Write an exponential function to model the following situation: A population starting at 740 animals
decreases at an annual rate of 12%. Use your function to determine about how many animals there will
be after 5 years.
A. 390
B. 150
CC. 680
D. 340

Answers

Answer 1

Answer:

A. 390

Step-by-step explanation:

An exponential function can be written in the form [tex]f(n)=a\times b^n[/tex], where [tex]a[/tex] is your starting population, [tex]b[/tex] is the factor by which the population increases, and [tex]n[/tex] is the number of terms. In this case, [tex]a=740[/tex], [tex]b=0.88[/tex] because the population decreases by 12 percent (1-0.12=0.88), and [tex]n=5[/tex].

Thus, [tex]f(5)=740 \times 0.88^5[/tex], which is roughly equal to 390.

Related Questions

Terrence played video games for 1/3 of an hour and walked his dog for 3/5 of an hour. Did Terrence spend more time playing video games or walking his dog?

Answers

Answer:

Terrence spend more time walking his dog .

Step-by-step explanation:

3/5 = 0.6

1/3 = 0.333

0.6>0.333

HELP THIS IS DUE SOON

Answers

There should be 40 pages

Answer:

the book has 40 pages

Step-by-step explanation:

so he has read 90 percent and has 4 pages left. So 10 percent is 4 pages.

10 times 10 is 100. 4 times 10 is 40. The entire book is 40 pages.

10 percent equals 4 pages

20 percent percent 8 pages

30 percent  is 12 pages

40 percent is 16 pages

50 percent is 20 pages

60 percent is 24 pages

70 percent is 28 pages

80 percent is 32 pages

90 percent is 36 pages

100 percent is 40 pages

what the heck guys please help me

Answers

Answer:

10, 12, 13, 20

Step-by-step explanation:

Please help!!!!!????

Answers

Answer:

I think it's decameter^^

determine the intercepts of the line
x-intercept _,_
y- intercept _,_
HELP ASAP

Answers

x-intercept: (7,0)
y-intercept: (0,2)

The frog jumped 7/8 of a foot on the first jump and 2/3 of a foot on the second
jump. How many feet did the frog jump in total?
feet
Pls show mercy!!!!!

Answers

He jumped 1.542 feet
7/8 + 2/3

How many real cube roots does –343 have?

Answers

Answer:

Number (n)

Cubes (n3)

1-1

2-8

3-27

4-64

5-125

6-216

7-343

8-512

9-729

10-1000

Step-by-step explanation:

h(x)=-2x^(2)+3x what is the value of h(-3)

Answers

Answer:

h(-3) = -27

Step-by-step explanation:

Given that,

[tex]h(x)=-2x^{(2)}+3x[/tex]

We need to find the value of h(-3).

Put x = -3 in the given expression.

[tex]h(-3)=-2(-3)^{(2)}+3(-3)\\\\=-2\times 9-9\\\\=-27[/tex]

So, the value of h(-3) is equal to -27.

Carlos' grandmother will give him $20 plus $5 for every hour that he completes yard work. This situation can be described by an equation of the form y = mx + b, where x = the time in hours and y = the total amount of money earned. What is the value of b in this equation?

Answers

Answer: b= 20

Step-by-step explanation:

y= 5x + 20

Which set of ordered pairs (x,y) could represent a linear function x?

Please help! It’s due soon!

Answers

Answer:

0.083

Step-by-step explanation:

151 divided by 1800 is 0.083

might be wrong WARNING

PLEASE HELP

Jason has a business that prints posters. He is working on an order for printing 1500 posters. He only has 400 posters left to print to complete the order.

Jason will only leave for the day if he has printed
7/10 of the posters for the order.

Can he leave for the day right now?

A. No! Jason has only printed 27/100 of the posters needed.

B. Yes! Jason has printed 73/100 of the posters needed.

С. Yes! Jason has printed exactly 7/10 of the posters needed.

D. No! Jason has only printed 29/50 of the posters needed

Answers

Answer:

B. Yes! Jason has printed 73/100 of the posters needed.

Step-by-step explanation:

7/10(1500) = 1050 minimum to print

1500-400 = 1100 printed

1100/1500 = 73/100

The value of an investment decreased by 10%. The original amount was $75.00. What is the current value of the investment?

Answers

Answer:

82.5 is the right answer

in a classroom of 1/6 of the students were wearing blue and 2/3 are wearing white there are thirty six students in the class how many students are wearing a shirt other than blue or white

Answers

Answer:

6

Step-by-step explanation:

1/6 of 36=6

2/3 of 36= 24

24+6=30

36-30=6

I need help PlEaSeEe
Bethany has a sticker book with 200 pages.
Each sticker takes up 1/8 page. How many stickers can she put in the book?

A.
250 stickers

B.
25 stickers

C.
1,600 stickers

D.
1,000 stickers

Answers

Answer:

25 stickers.

Step-by-step explanation:

I hope this helps! Maybe you can mark this brainly? Hope you have a amazing day! <3

Use Euler’s formula to write -12 sqrt3 +12i in exponential form

Answers

Should be D on edge. 24e i 5pi/6, Or

649-14-07-00-00_files/i0150005,jpg(image name)

What is the measure of the exterior angle shown in the figure below?​

Answers

Answer:Measures of Exterior Angles

They are formed on the outer part, that is, the exterior of the angle.

The corresponding sum of the exterior and interior angles formed on the same side = 180°.

Step-by-step explanation: is that what u mean?

GIVING 100 PTS AFTER ITS SOLVED I WILL GIVE BECAUSE I CANT TRUST

Answers

Answer: A

Step-by-step explanation

bc it seemed legit-

Answer:

A.

Step-by-step explanation:

wish u would have got better grade

You want Brainliest help me plsss

Answers

Answer:

the slope in the equation is 5, while the slope on the graph is 2

Please help ...........

Answers

Answer:

B

Step-by-step explanation:

Find the perimeter and area of the triangle. Show all work.
31 yd
14 yd
28 yd

Answers

I’m pretty sure it is 73yd

BRAINLIEST
VOLUME OF A SPHERE

Answers

Answer:

[tex]\displaystyle V = 972 \pi \ ft^3[/tex]

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Geometry

Volume of a Sphere Formula: [tex]\displaystyle V = \frac{4}{3} \pi r^3[/tex]

V is volumer is radius

Step-by-step explanation:

Step 1: Define

Radius r = 9 ft

Step 2: Solve for V

Substitute in r [Volume of a Sphere Formula]:                                               [tex]\displaystyle V = \frac{4}{3} \pi (9 \ ft)^3[/tex][Volume] Evaluate exponents:                                                                         [tex]\displaystyle V = \frac{4}{3} \pi (729 \ ft^3)[/tex][Volume] Multiply:                                                                                             [tex]\displaystyle V = 972 \pi \ ft^3[/tex]

Find two integers whose sum is 11 and product is 18

Answers

9+2=11
9x2=18

This means that the integers are 9 and 2 :)

Answer:

9,2 and 2,9

Step-by-step explanation:

x+y=11

xy=18

Since they are asking for integers you can simply look through and see what integers multiply out to 18 and then check if they add up to 11. The answers for x and y are 9 and 2. but 9 can be for y as well and 2 can be for x.

How to solve it algebraically

18/y=x

x+y=11(insert 18/y for x)

18/y+y=11(factor it)

(y^2+18)/y=11(multiply both sides by y)

y^2+18=11y (subtract both sides by 11y)

y^2-11y+18=0

complete the square

y^2-11y    = -18

(-11/2)^2=121/4 (add in on both sides)

y^2-11y+121/4=49/4

(y-11/2)^2=49/4 (square root both sides)

y-11/2=±7/2

y=11/2±7/2

y=9 or y=2

so

x=9 or x=2

Hope this helps :)

Please give brainliest

Anybody know how to solve this?

Answers

Answer:

1

Step-by-step explanation:

Anything to the 0 power is 1.

Hope this helps!

:)

Answer:

the answer is one.

Step-by-step explanation:

anything to the power of zero is one

Write a quadratic function that reflects the x axis, stretches by a factor of 5, and shifts left 6 and up 3

Answers

Answer:

y=(x+6)^5+3

Step-by-step explanation:

What are the means?

Answers

Answer:

either 7 and 21 or 1 and 3 I believe I'm terribly sorry if I'm wrong friend

Mrs. Egan is saving money for a new television. She already has $110 in the bank. She is going to save $65 per week. Write an equation that represents Mrs. Egan's savings account​

Answers

110+65x so if she already has 110 that means you’ll add 65 every week it’s not clear on how many weeks so that’s why the x is there for x amount of weeks

What's the expanded notation of 5.34

Answers

The expanded notation is 5 + .3 + .04

Given f(x)=(1/2x)-5, find f^-1(x).

Answers

Answer:

[tex]f^{-1}[/tex](x)=2x+10

Step-by-step explanation:

f(x)=[tex]\frac{x}{2}[/tex]-5

Let y= [tex]\frac{x}{2}[/tex]-5

y= [tex]\frac{y}{2}[/tex]-5

x+5= [tex]\frac{y}{2}[/tex]

Both side multiple 2,

2x+10=y

[tex]f^{-1}[/tex](x)=2x+10

help me please!!! thank you!!!

Answers

Answer:

254.47 inches squared

Step-by-step explanation:

Area of a circle is

[tex]\pi {r}^{2} [/tex]

so to find the radius we half the diameter( which here is 18 inches) which equals to 9

we replace r to 9 because that's the radius

[tex]\pi \times {9}^{2} [/tex]

which is 254.47 inches squared

help pleasee!!!!!!!!!!!!!!!!!!

Answers

Answer:

76 because if the two lines are parallel then x = 76

hope this helps and brainliest please

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