Answer:
2
Step-by-step explanation:
loge(x) is ln(x)
f(x) × ln(x)
Differentiate using product law
[ln(x) × f'(x)] + [(1/x) × f(x)]
x = 1
[ln(1) × f'(1)] + [(1/1) × f(1)]
(0 × 4) + (1 × 2)
0 + 2
2
First, find out how much he made in the week total: 24($8.75) = $210
The, find 1.45% of 210: (.0145)(210) = 3.045
*note that 1.45% = .0145*
Round that number to 3.05 and you have your answer
It would be:
-.72 < -5/8 < -.6 < -7/12
<h2>Answer</h2>
f(x) = 5(1.25)x + 4
<h2>Explanation</h2>
To solve this, we are going to use the standard exponential equation:
where
is the initial amount
is the growth rate in decimal form
is the time (in months for our case)
Since the hours of classic music remain constant, we just need to add them at the end. We know form our problem that Sue initially has 5 hours of pop, so 
; we also know that every month onward, the hours of pop music in her collection is 25% more than what she had the previous month, so 
. Now let's replace the values in our function:
Now we can add the hours of classical music to complete our function:
Take the total amount which is $20 and multiply by the reciprocal of 120% (5/6)
$20*5/6=$16.66= most expensive item that you can order
