Answer:
38.5 yards
Step-by-step explanation:
The circumference is the diameter multiplied by pi, and the radius is half of the diameter. If we divide 241.37 by pi we get a diameter of 77, and half of that is the radius, which is 38.5.
-6/7
Negative six over seven
Answer:
6745.09
Step-by-step explanation:
If we assume the nominal annual interest rate is 5%, then the future value after 6 years is ...
FV = P(1 +r/12)^(12·t)
for P = 5000, r = .05, t = 6.
Doing the arithmetic, we get ...
FV = 5000(1 +.05/12)^(12·6) ≈ 6745.09
After 6 years, the bank account will be worth 6745.09.
_____
We made a comment about the interest rate, because the annual <em>yield</em> is about 5.116%. If the <em>annual yield</em> is actually 5%, then the account value is lower: $6700.48. (Monthly compounding is irrelevant in that case, because it is already figured into the yield.)
Usually, the wording would be that the account <em>earns</em> 5% interest compounded monthly.
Answer:
Step-by-step explanation:
given,
y=5√sinx
Volume of the solid by revolving
a and b are the limits of the integrals
now,
![V =25\pi [-cos x]_{\pi/4}^{\pi/2}](https://tex.z-dn.net/?f=V%20%3D25%5Cpi%20%5B-cos%20x%5D_%7B%5Cpi%2F4%7D%5E%7B%5Cpi%2F2%7D)
![V =25\pi [-cos (\pi/2)+cos(\pi/4)]](https://tex.z-dn.net/?f=V%20%3D25%5Cpi%20%5B-cos%20%28%5Cpi%2F2%29%2Bcos%28%5Cpi%2F4%29%5D)
![V =25\pi [0+\dfrac{1}{\sqrt{2}}]](https://tex.z-dn.net/?f=V%20%3D25%5Cpi%20%5B0%2B%5Cdfrac%7B1%7D%7B%5Csqrt%7B2%7D%7D%5D)
volume of the solid generated is equal to
Answer: 9pi
Step-by-step explanation:
