The derivative is -6sin(3x)
Invested amount (P) = $300.
Time in years (t) = 2 years.
Balance after 2 years (A) = $329.49.
Let us assume rate of interest = r % compounds annually.
We know, formula for compound interest

Plugging values in formula, we get




Taking square root on both sides, we get





r=0.048.
Converting it into percentage by multiplying by 100.
r=0.048 × 100
r = 4.8 %
Therefore, the rate of interest on the account is 4.8% compounds annually.
the volume of the cylinder is 572.27 cm³
Explanation:
Given:
radius of the cylinder = 4.5cm
height = 9cm
To get the volume of the cylinder, we will use the formula:


To the nearest hundredth, the volume of the cylinder is 572.27 cm³
First evaluate the exponent to 2 log(1000x)=4
Then divide both sides by the same factor 2
Then cancel terms and divide to then simplify to get your answer as log(1000x)=2