Answer:
186.45 cm^3
Step-by-step explanation:
Given data
Side lenght of cube block= 8cm
Radius of cylindrical hole= 3.6cm
Volume of entire Shape= l^3
Volume of entire Shape= 8*8*8
Volume of entire block= 512cm^3
Volume of cylindrical hole= πr^2h
Volume of cylindrical hole= 3.14*3.6^2*8
Volume of cylindrical hole= 3.14*12.96*8
Volume of cylindrical hole= 325.55cm^3
Hence the volume of the block
=volume of entire shape- volume of cylinder
=512-325.55
=186.45 cm^3
Answer:
Y-intercept
Step-by-step explanation:
The y-intercept is the part of the line that crosses the y-axis.
The red dot (where the arrow is pointing to) is the y intercept
Answer:
The average rate of change in the balance over the interval t = 0 to t = 5 is of $20.82 a year. This means that the balance increased by $20.82 a year over the interval t = 0 to t = 5.
Step-by-step explanation:
Given a function y, the average rate of change S of y=f(x) in an interval
will be given by the following equation:
![S = \frac{f(x_{f}) - f(x_{s})}{x_{f} - x_{s}}](https://tex.z-dn.net/?f=S%20%3D%20%5Cfrac%7Bf%28x_%7Bf%7D%29%20-%20f%28x_%7Bs%7D%29%7D%7Bx_%7Bf%7D%20-%20x_%7Bs%7D%7D)
In this problem, we have that:
![B(t) = 1000(1.02)^{t}](https://tex.z-dn.net/?f=B%28t%29%20%3D%201000%281.02%29%5E%7Bt%7D)
Find the average rate of change in the balance over the interval t = 0 to t = 5.
![B(0) = 1000(1.02)^{0} = 1000](https://tex.z-dn.net/?f=B%280%29%20%3D%201000%281.02%29%5E%7B0%7D%20%3D%201000)
![B(5) = 1000(1.02)^{5} = 1104.08](https://tex.z-dn.net/?f=B%285%29%20%3D%201000%281.02%29%5E%7B5%7D%20%3D%201104.08)
Then
![S = \frac{1104.08 - 1000}{5-0} = 20.82](https://tex.z-dn.net/?f=S%20%3D%20%5Cfrac%7B1104.08%20-%201000%7D%7B5-0%7D%20%3D%2020.82)
The average rate of change in the balance over the interval t = 0 to t = 5 is of $20.82 a year. This means that the balance increased by $20.82 a year over the interval t = 0 to t = 5.
Answer:
c. The tip is $10.00
Step-by-step explanation:
The total bill in the restaurant is = $ 68.42
They wanted to pay a gratuity of 15%
Therefore the correct tip can be calculated as :
= 68.42 of 15%
= ![$68.42 \times \frac{15}{100}$](https://tex.z-dn.net/?f=%2468.42%20%5Ctimes%20%5Cfrac%7B15%7D%7B100%7D%24)
= 68.42 x 0.15
= 10.263
≈ 10 (approx.)
Thus the individual along with the other two wishes to pay a tip $10.00 for the total value.