40/5=8
The pitcher allowed 8 runs in 40 innings.
firstly chain rule is dy/dx = dy/du * du/dx
a) y = 5u² + u - 1 hence dy/du = 10u +1
u = 3x +1 hence du/dx = 3
so dy/dx = 3(10u +1) {sub in u and expand}
b) y= u^-2 hence dy/du = -2u^-3
u=2x+3 hence du/dx = 2
so dy/dx= 2(-2u^-3) {sub in u}
I hope this helps you to show all of your work for #2!!
In economics, there are two types of interest: simple interest and compounded interest. In commercial banks, the compounded interest is used. The equation for compounding interest is
F = P(1+i)^n
where
F is the future worth
P is the present worth
i is the interest rate
n is the time
You should not that the units for i and n must be consistent. If you use n in years, the i must be in percent per year compounded yearly. But since the given interest is given quarterly, we have to convert this first from nominal interest rate, r, to effective interest rate, i,eff:
i,eff = (1 + r/m)^m - 1, where m is the number of quarters in 1 year. That would be 4. Substituting the values
i,eff = (1 + 0.036/4)⁴ - 1 = 0.0365
We use this to the first equation where n=30 years
F = $5,140.17(1 + 0.0365)³⁰
F = $15,068.04
Thus, after 30 years, the money would be worth $15,068.04. The interest earned is equal to:
Interest earned = $15,068.04 - $5,140.17
Interest Earned = $9,927.87
Answer:
okay so first to find the surface area of the net below you should always start from the line that is pointing at the end of the the i n u m so you see that is between 8 1/8 and 2 so you see the line you draw a line in the middle between 8 and then when you look and then you draw another line were 19 years and then you draw another line so you can see that at the top of 19 and there at the bottom of 918 you see that you can find the Nets below because you can see me you draw your line it shows you Drawing the Line because when you draw a circle in the middle and then you draw a another little circle in the middle is shows the surface area of the net below so bye
