Mathematics, 17.08.2019 03:10 khynia11

the function f(x) = 4(2)x represents the growth of a butterfly population every year in a remote swamp. jan wants to manipulate the formula to an equivalent form that calculates five times a year, not just once a year. which function is correct for jan's purpose, and what is the new growth rate?
f(x) = 4(1.15)x; growth rate is 5%
f(x) = 4(1.15)5x; growth rate is 15%
f(x) = 4(2)x; growth rate is 200%
f(x) = 4(2)x, growth rate is 5%

Answers: 2

Show answers

Answers

Answer from: thekid3176

f(x) = 4(1.15)^(5x); growth rate is 15%

Step-by-step explanation:

If x still represents the number of years, but we want to see a growth factor that corresponds to 1/5 of a year, we can write the formula as ...

$f(x)=4\cdot\left(2^{\frac{1}{5}}\right)^{5x}\approx 4\cdot 1.15^{5x}$

The growth factor is 1+r = 1.15, so r = 0.15 = 15%, the growth rate in a 1/5-year interval.

_____

Comment on the question and answer

If Jan wants to compute the growth in 1/5-year intervals, it isn't clear why the desired formula uses an exponent of 5x, signifying that x is measured in years. We would expect the independent variable to be the number of 1/5-year intervals, rather than 1/5 that number.

Answer from: Queenashley3232

f(x) = 4(1.15)^(5x); growth rate is 15%

Step-by-step explanation:

The function f(x) = 4(2)x represents the growth of a butterfly population every year in a remote swamp. Jan wants to manipulate the formula to an equivalent form that calculates five times a year, not just once a year. The function that is correct for Jan's purpose is f(x) = 4(1.15)^(5x) and the new growth rate is 15%.

1+r = 1.15

Therefore, the growth rate is 15%

Answer from: Quest

his chances of getting a coin of higher value is 4/19

step-by-step explanation:

Answer from: Quest

$a_1 = 1$ , and

$a_{n+1} = a_n + (n + 1)$ for $n \ge 1$

step-by-step explanation:

we can analyze the pattern at which the terms increase. let us denote $a_1 = 1$ , $a_2 = 3$ , $a_3 = 6$ , so that we can call

1 the 1st term, 3 the 2nd term, 6 the 3rd term,etc.

note the following:

from the 1st term (1) to the 2nd term (3), we go up by 2,from the 2nd term (3) to the 3rd term (6), we go up by 3from the 3rd term (6) to the 4th term (10), we go up by 4, andfrom the 4th term (10) to the 5th term (15), we go up by 5.

the pattern: to get the next term value, we just add the next term number (e.g. 1st, 2nd, to the previous term value (term values are the given numbers in the question, 1, 3, 6, 10, 15,

from $a_1 = 1$ , to get to $a_2 = 3$ , we add $2(=1+1)$

from $a_2 = 3$ , to get to $a_3 = 6$ , we add $3 (=2+1)$

etc.

we need to form a recursive formula, a formula that has the next term as a function of the previous term. so a possible recursive formula can be

$a_1 = 1$ , and $a_{n+1} = a_n +(n + 1)$ for $n \ge 1$

Another question on Mathematics

Mathematics, 21.06.2019 17:40

Follow these steps using the algebra tiles to solve the equation −5x + (−2) = −2x + 4. 1. add 5 positive x-tiles to both sides and create zero pairs. 2. add 4 negative unit tiles to both sides and create zero pairs. 3. divide the unit tiles evenly among the x-tiles. x =

Answers: 1

Answer

Mathematics, 21.06.2019 21:00

To finance her community college education, sarah takes out a loan for $2900. after a year sarah decides to pay off the interest, which is 4% of $2900. how much will she pay

Answers: 1

Answer

Mathematics, 21.06.2019 22:30

Using the figure below, select the two pairs of alternate interior angles.a: point 1 and point 4 b : point 2 and point 3 c: point 6 and point 6d: point 5 and point 7

Answers: 2

Answer

Mathematics, 21.06.2019 23:30

Solve the inequaliy: (x^2+2)(x−2)^2(6−2x)> 0

Answers: 1

Answer

You know the right answer?

the function f(x) = 4(2)x represents the growth of a butterfly population every year in a remote swa...

Questions

Mathematics, 03.10.2019 12:30

Atrapezoid has two sets of parallel sides. always sometimes never...