Answer:
The angular velocity is 6.72 π radians per second
Step-by-step explanation:
The formula of the angular velocity is ω = 
, where v is the linear velocity and r is the radius of the circle
The unit of the angular velocity is radians per second
∵ The diameter of the tire is 25 inches
∵ The linear velocity is 15 miles per hour
- We must change the mile to inch and the hour to seconds
∵ 1 mile = 63360 inches
∵ 1 hour = 3600 second
∴ 15 miles/hour = 15 × 
∴ 15 miles/hour = 264 inches per second
Now let us find the angular velocity
∵ ω =
∵ v = 264 in./sec.
∵ d = 25 in.
- The radius is one-half the diameter
∴ r = 
× 25 = 12.5 in.
- Substitute the values of v and r in the formula above to find ω
∴ ω = 
∴ ω = 21.12 rad./sec.
- Divide it by π to give the answer in terms of π
∴ ω = 6.72 π radians per second
The angular velocity is 6.72 π radians per second
Answer:
The correct option is B.
Step-by-step explanation:
The amount of money, in dollars, in a savings account after x years is given by 
This above equation represents that $10000 becomes M(x) after x years at a rate of interest 3% compounded in each year.
Therefore, the value in the expression 1.03 represents that there is a 3 percent increase in the savings account each year.
So, the correct option is B. (Answer)
Answer:
Step-by-step explanation:
In order to figure out how much money was left in the account after the interest was withdrawn, we have to first find out how much money was initially deposited to earn that amount of interest! The means to find that initial investment is found in the simple interest formula
prt = I, where
p is the initial investement,
r is the interest rate in decimal form,
t is the time in years, and
I is the interest earned. Notice that we have all those things but the p.
Filling in:
p(.0425)(4) = 2380 and
.17p = 2380 so
p = 14000
That means that 14000 was initially invested. If the depositor withdrew the 2380, then
14000 - 2380 is the amount left in the account, namely, $11620
Answer:
Insert non-suspicious whistling
Answer:
The equation of circle is:
Solution:
The general form of equation is given as:
Where, "r" is radius of circle and (a, b) is center of circle
Given that center at (-2, 1)
a = -2 and b = 1
Substitute (a , b) = (-2, 1) and (x, y) = (-5, -3) in general equation
Substitute r = 5 and (a, b) = (-2, 1) in general equation
Thus the equation of circle is found
