Answer:
314in²
Step-by-step explanation:
Given : Radius of the circle r=10 inches
A = 3.14 x 10²
A = 3.14 x 100
A = 314in²
<span>The slope of a function is simply equal to its first
derivative. So let us first take the 1st derivative of the equation:</span>
y = e^(x / 3)
dy / dx = e^(x / 3) (1 / 3)
At x = 0:
dy / dx = slope = e ^(0) (1/3)
<span>slope = 1/3</span>
Lexi borrowed $425 and paid back $450, so the interest paid was $25 (subtract 450 and 425). Then divide the interest over the expression P*t = 425*0.5 = 212.5 to get 25/212.5 = 0.1176 approximately which converts to the annual interest rate of 11.76% (approximately).
If you want to use a formula, then,
i = P*r*t
25 = 425*r*0.5 <---- t = 0.5 to represent half a year
25 = 4250.5*r
25 = 212.5*r
212.5*r = 25
r = 25/212.5
r = 0.1176
r = 11.76%
A) Olaf has 250 files, which represent 100%. 12% of that are photos which number is unknown (x).
250 files - 100%
x photos - 12%
So, the proportion should look like:
250 files : 100% = x : 12%
B) After crossing the products:
x = 250 files * 12% : 100%
x = 30 photos