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
dalvyx [7]
3 years ago
12

Exponential growth and decay functions are written in standard form F (t)= A_0•b^kt, where A_0 is an initial amount, b is the gr

owth factor, k is the growth rate, and t is
Mathematics
2 answers:
tia_tia [17]3 years ago
5 0
t is the time elapsed since the concentration was the A_=, this is the initial concentration.

For example, for A_0 = 250, k = -10 (it has to be negative because this is a decay function) and b = 24, the function will be:

F(t) = 250 *  24 ^ (- 10 t)

And so, given that t is the time, you have the relation that gives the value of the dependent variable as a function of the time t. If the unit is hours, you could make this table:

time, t in hours             F(t) = 250 * 24 ^ ( -10t)

0                                   250 * 24 ^(0) = 250

0.01                              250 * 24 ^ (- 10 * 0.01) ≈ 0.73

0.1                                250 * 24 ^ (-10* 0.1) ≈ 0.042

1                                  250 * 24 ^ ( -10) ≈ 0.000000000000016
Arada [10]3 years ago
3 0

Answer: Hello mate!

Exponential growth and decay functions are written as:

F(t) = A₀b^(kt)

We know that A₀ is the initial amount (at the time equal to zero)

b is the growth factor, k is the growth rate, and t is the time (the independent variable)

Note that b is a real and positive number, while A₀ and k can be also negative.

If k is a positive number, then as time grows, the product k*t also increases, and then the factor b^(kt) also increases, and now you have exponential growth.

if k is a negative number, you have the inverse situation, you have an exponential decay.

You might be interested in
A company will need 40,000 in 6 years for a new addition. To meet the goal, the company deposits money into an account today tha
NeTakaya
"<span>A company will need 40,000 in 6 years for a new addition. To meet the goal, the company deposits money into an account today that pays 4% annual intrest compund quarterly."  Let's pretend that the instructions state, "Determine the amount of money that must be deposited upfront so that you will have $40,000 in 6 years."

Use the Compound Amount formula:  A = P(1 + r/n)^(nt),
where P is the principal (the amount deposited upfront), r is the interest rate as a decimal fraction, n is the number of compounding periods, and t is the time in years.

Here, $40000 = P(1 + 0.04/4)^(4*6)
                                                               $40000
So the upfront $ needed is      P =   -------------------------
                                                           (1+0.01)^24

This comes out to $31502.65 (answer)</span>
3 0
4 years ago
0.75x+1.5=-3<br><br> what’s the answer? tysm for any help! (:
lesya692 [45]

Answer:

x=−6

Step-by-step explanation: Brainliest:)

7 0
3 years ago
Read 2 more answers
Which of the following is not a possible number of solutions when solving a system of equations containing a quadratic and a lin
Kobotan [32]

Answer:

3

Step-by-step explanation:

We have a system with two equations, one equation is a quadratic function and the other equation is a linear function.

To solve this system we have to clear "y" in both equations, and then equal both equations, then we will have a quadratic function and equal it to zero:

ax^2+bx+c=0, a\neq 0

Then to resolve a quadratic equation we apply Bhaskara's formula:

x_{1}=\frac{-b+\sqrt{b^2-4ac} }{2a}

x_{2}=\frac{-b-\sqrt{b^2-4ac} }{2a}

It usually has two solutions.

But it could happen that \sqrt{b^2-4ac} then the equation doesn't have real solutions.

Or it could happen that there's only one solution, this happen when the linear equation touches the quadratic equation in one point.

And it's not possible to have more than 2 solutions. Then the answer ir 3.

For example:

In the three graphs the pink one is a quadratic function and the green one is a linear function.

In the first graph we can see that the linear function intersects the quadratic function in two points, then there are two solutions.

In the second graph we can see that the linear function intersects the quadratic function in only one point, then there is one solutions.

In the third graph we can see that the linear function doesn't intersect the quadratic function, then there aren't real solutions.

7 0
3 years ago
The angle of elevation from the top of a house to a jet flying 2 miles above the house is x radians. If d represents the horizon
alisha [4.7K]

Answer:

d = 2cot(x) or d = 2/tan(x)

Step-by-step explanation:

The vertical distance from the jet to the top of the house represents the opposite side to the 'x' angle, while the horizontal distance, d, represents the adjacent side. Since we do not know the hypotenuse, the tangent and cotangent functions are the preferable choices:

tan (x) = \frac{2}{d}\\d = \frac{2}{tan (x) }\\cot (x) = \frac{d}{2} \\d= 2cot(x)

Therefore, the distance 'd' can be expressed as d = 2cot(x) or d = 2/tan(x).

6 0
3 years ago
PLEASE HELP PLEASE 9. A lake has an average depth of 4 feet. A new dam has just been completed, and the average depth of the lak
hoa [83]

Answer:

B

Step-by-step explanation:

I had the same question

6 0
3 years ago
Other questions:
  • An 8 inch by 6 inch rectangle is the base of the rectangular prism below. What is the lateral area of the figure? 140 square inc
    11·2 answers
  • Test each of the following for divisibility by 2, 3, 4, 5, 6, 8, 9, and 10.
    10·1 answer
  • HELP QUICK!! WILL BRAINLIEST
    7·2 answers
  • Which equation of the least squares regression line most closely matches the data set? yˆ=3.5x−6921.2 yˆ=5.5x+52 yˆ=−2.2x+13.8 y
    13·2 answers
  • at a charity basketball game, 450 tickets were sold to students at a school. The remaining x tickets were sold to the public. Th
    9·1 answer
  • A certain polygon has its vertices at the following points. (4,8), (6,8), (8,7), (8,5), (7,4), (6,4), (4,5) and (3,6),What is th
    9·1 answer
  • Someone plz help me with all plz
    15·1 answer
  • Which number is composite? (9,5,11,2)​
    10·2 answers
  • A circular flower bed is 24 m in diameter and has a circular sidewalk around it that is 2 m wide. Find the area of the sidewalk
    9·1 answer
  • What is the value of the last digit in 3,500.45
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!