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
Orlov [11]
2 years ago
5

The population of a pack of wolves is 88. the population is expected to grow at a rate of 2.5% each year. what function equation

represents the population of the pack of wolves after t years?
a.f(t)=88(0.025)^t
b.f(t)=88(1.25^)t
c.f(t)=88(2.5)^t
d.f(t)=88(1.025)^t
Mathematics
2 answers:
Murrr4er [49]2 years ago
7 0
D

First year: 88 + 88 * 2.5% = 88 + 88 * 0.025 = 88 * 1.025
Second year: 88 * 1.025 + 88 * 1.025 * 2.5% = 88 * 1.025 + 88 * 1.025 * 0.025 = 88 * 1.025 * 1.025  = 88 * 1.025^2
satela [25.4K]2 years ago
4 0

Answer:

The population model of wolves after t years is given by

f(t)=88(1.025)^t

D is the correct option.

Step-by-step explanation:

The exponential function can be represented as

f(t)=a(1+r)^t

a = initial amount

r = rate

t = time

Now, we have been given that

r = 2.5% = 0.025

a = 88

On substituting these values in the above exponential model

f(t)=88(1+0.025)^t\\f(t)=88(1.025)^t

The population model of wolves after t years is given by

f(t)=88(1.025)^t

You might be interested in
Find the x and y-intercept of the line -6x+12y=24
AleksAgata [21]

-6x+12y=24\\\\x-intercept\ for\ y=0:\\\\-6x+12(0)=24\\-6x=24\qquad\text{divide both sides by (-6)}\\\boxed{x=-4}\to(-4,\ 0)\\\\y-intercept\ for\ x=0:\\\\-6(0)+12y=24\\12y=24\qquad\text{divide both sides by 12}\\\boxed{y=2}\to(0;\ 2)

8 0
3 years ago
3/4x-6=x/8+4 <br> How do you solve this please show step by step
jeka94

Answer: x=16

Step-by-step explanation:

1. 3/4x = x/8+10

2. 3/4(2)= 6/8

3. 6/8x= 1/8x+10

4. 5/8x=10 ÷ 5/8 both sides

5. 5/8= .625 so 10÷ .625= 16

6. x=16

5 0
3 years ago
How do you write an equation in slope intercept form with the points (5,19) (-9,5)
Vika [28.1K]

Answer:

y=x+6

Step-by step

m = y2 - y1

     -----------

       x2 - x1

5 - 19 = -14

----------------

-9 - 5     -14

               =1

 b = y + x

= 5 + 1

= 6

5 0
3 years ago
What is the surface area of a prism
Umnica [9.8K]
Well, you do the area of each individual side and add them together. The triangles have an area 108 square inches. The two 15 inch sides each have an area of 300 square inches each. And the bottom face has an area of 480 inches squared. You add them all together to get= 108+108+300+300+480, which is equal to 1,296 square inches. 
5 0
3 years ago
Read 2 more answers
A class has 24 students. The teacher asks how many students in the class have pets and finds 5/8of the students have pets. Write
katen-ka-za [31]
24 × 5/8 = 15, you can cross multiply by doing x/24 = 5/8 And solve for x
5 0
2 years ago
Other questions:
  • Round 754 to the nearest ten
    12·1 answer
  • I need to know how to solve this problem
    13·1 answer
  • No really getting this please help
    11·2 answers
  • This jewelry box has the shape of a regular pentagon. It is packaged in a rectangular box as shown here. The box uses two pairs
    10·1 answer
  • Given B = {a, l, g, e, b, r} and C = {m, y, t, h}, find B ∪ C. {} {a} {a, b, e, g, h, l, m, r, t, y}
    10·2 answers
  • Calculate the volume of liquid that
    10·1 answer
  • A grocery store sold 6 cans of soup, 3 of which contain tomato soup. based on experimental probability, how many of the next 8 c
    11·1 answer
  • Find the surface area. round to the nearest hundredth when necessary.
    7·1 answer
  • Help me now and I will be happy
    15·2 answers
  • Change the equation in Slope-Intercept Form.
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!