Answer:
The total amount after 3 years is = $ 2054.10
Explanation:
Given data
Principal Amount (P) = $ 1800
Rate of interest (R) = 4.5 %
Thus the total amount after 3 years compounded annually is given by the formula = P × ![[1 +\frac{R}{100} ]^{3}](https://tex.z-dn.net/?f=%5B1%20%2B%5Cfrac%7BR%7D%7B100%7D%20%20%5D%5E%7B3%7D)
⇒ 1800 × ![[1 +\frac{4.5}{100} ]^{3}](https://tex.z-dn.net/?f=%5B1%20%2B%5Cfrac%7B4.5%7D%7B100%7D%20%20%5D%5E%7B3%7D)
⇒ 2054.10
Thus the total amount after 3 years is = $ 2054.10
Compound interest earned in three years = 2054.10 - 1800 = $ 254.10
Answer:
The true weight of the aluminium is
4.5021 kg
Explanation:
Given data
= 4.5 kg
= 1.29 
= 2.7× 
The true mass of the aluminium is given by

Put all the values in above equation we get

4.5021 kg
Therefore the true weight of the aluminium is
4.5021 kg
Answer:

Explanation:
It is given that,
Diameter of cylinder, d = 6.6 cm
Radius of cylinder, r = 3.3 cm = 0.033 m
Acceleration of the string, 
Displacement, d = 1.3 m
The angular acceleration is given by :



The angular displacement is given by :



Using the third equation of rotational kinematics as :

Here, 



Since, 1 rad/s = 9.54 rpm
So,

So, the angular speed of the cylinder is 571.42 rpm. Hence, this is the required solution.
The dog’s speed is
A) 0.61 m/s
If an equation is dimensionally correct, it does not mean that the equation must be true. On the other hand, when the equation is dimensionally correct, the equation cannot be true. Dimensional analysis is a technique used to check whether a relationship is correct