$\bf \begin{array}{ccll} degrees&radians\\ \cline{1-2} 180&\pi \\ -36&x \end{array}\implies \cfrac{180}{-36}=\cfrac{\pi }{x}\implies -5=\cfrac{\pi }{x}\implies x=\cfrac{\pi }{-5}\implies x=-\cfrac{\pi }{5}$

4 0

3 years ago

How long will it take $5500 to grow to $7400 at an interest rate of 5% it the interest is compounded continuouslyRound the numbe

Thepotemich [5.8K]

Answer:

5.93 years

Step-by-step explanation:

The continuous compounding formula tells you the amount after t years will be ...

A = Pe^(rt) . . . . principal P compounded continuously at annual rate r for t years

7400 = 5500e^(0.05t)

ln(7400/5500) = 0.05t . . . . divide by 5500, take natural logs

t = 20×ln(74/55) ≈ 5.93

It will take about 5.93 years for $5500 to grow to $7400.

8 0

2 years ago

The regression equation y = -0.414x + 106.55 approximates the percent of people in an

murzikaleks [220]

The correct option will be: A. 67%

Explanation

Given equation is: $y = -0.414x + 106.55$ , where $x$ is the length of the film in minutes and $y$ is the percentage of people finish watching the film.