S(n) is a function that squares numbers. Find S(13) when s(n) = n2.
1 answer:
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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 monthly payment is $262.95
Step-by-step explanation:
* Lets explain how to solve the problem
- Omar has decided to purchase an $11,000 car
- He plans on putting 20% down toward the purchase
* Lets find the value of the 20%
∵ The principal value is $11000
∴ the value of the 20% = 20/100 × 11000 = 2200
∴ He will put $2200 down
* Lets find the balance to be paid off on installments
∴ The balance = 11000 - 2200 = 8800
- He financing the rest at 4.8% interest rate for 3 years
* Lets find the rule of the monthly payment
∵ , where
- pmt is the monthly payment
- P = the investment amount
- r = the annual interest rate (decimal)
- n = the number of times that interest is compounded per unit t
- t = the time the money is invested or borrowed for
∵ P = 8800
∵ r = 4.8/100 = 0.048
∵ n = 12
∵ t = 3
∴
∴
* The monthly payment is $262.95