Answer:
726.572699
Step-by-step explanation:
According to differentials
(x+Δx)³ = x³ + 3x²Δx + 3x(Δx)² + (Δx)³ (Using binomial expansion)
Using this formula to solve (8.99)³, this can also be written as;
(8.99)³ = (9-0.01)³ where
x = 9
Δx = -0.01
Substitute this vales into the differential expression above
(9+(-0.01))³ = 9³ + 3(9)²(-0.01) + 3(9)(-0.01)² + (-0.01)³
(9+(-0.01))³ = 729 + (243)(-0.01) + 27(0.0001) + (-0.000001)
(9+(-0.01))³ = 729-2.43+0.0027-0.000001
(9+(-0.01))³ = 729-2.43+0.0027-0.000001
(9+(-0.01))³ = 726.572699
Hence 8.99³ = 726.572699 (Using differential)
Using calculator;
8.99³ = 726.572699
25+30x=65+20x
30x=40+20x
10x=40
x=40/10
x=4
x is for the number of sessions
ANSWER: 4 sessions
It will cost 145$ for both gyms after 4 sessions.
9514 1404 393
Answer:
$125 per year
Step-by-step explanation:
In the 2 years from 2015 to 2017, the spending on lunches increased by ...
$800 -550 = $250
That is an average per year of ...
$250/(2 yr) = $125/yr . . . . average dollar increase per year
_____
<em>Additional comment</em>
For costs, it is often true that they follow an exponential curve, not a linear one. Ed's spending increased by a factor of 800/550 = 16/11 in the two years, so an average percentage increase of √(16/11) -1 = 20.6% per year.
In order to make the question true the length should be 45cm not 4.5 cm , Solving accordingly
- Let nights be x
- Rate of change=5cm
The equation is
As 45 is base amount we used it as y intercect
Answer:

And replacing we got:

And we can calculate this probabilit using the normal standard distribution or excel and we got:

Step-by-step explanation:
If we define the random variable of interest "the amount spent by a family of four of food per month" and we know the following parameter:

And we want to find the following probability:

And we can use the z score formula given by:

And replacing we got:

And we can calculate this probabilit using the normal standard distribution or excel and we got:
