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.
Answer:
Principal: $6,166.67
Principal: $5,200.00
Explanation:
<u><em>1. $6000 for 50 days at 20% p.a</em></u>
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In 20% pa, pa means "per annum", i.e. "per year".
Assume simple interest:
Interest:
- Interest = Principal × number of days × annual rate / 360
- Interest = $6,000 × 50 × 20% / 360 = $166.67
Principal = principal + interest = $6,000 + $166.67 = $6,166.67
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<u><em>2. $5000 for 5 months at 0.8% per month</em></u>
Assume, again, simple interest.
- interest: 0.80% per month
Interest:
- Interest = Principal × number of months × montly rate
- Interest = $5,000 × 5 × 0.80% = $200.00
Principal = principal + interest = $5,000 + $200.00 = $5,200
You can see that the accrued interests depend on the principal, the interest rate, and the time.
Answer:
a) v = 12.21m/s
a = 4.07 m/s²
b)v = 11.24m/s
a = 3.75 m/s²
Step-by-step explanation:
a) Dividing the moviment into two parts:
I - With acceleration
v = v₀ + at
s = s₀ + v₀t + at²/2
- v₀ = 0
- s₀ = 0
- a = ?
- v = ?
- t = 3s
- s = x
v = v₀ + at
v = 3a ⇒ a = v/3
s = s₀ + v₀t + at²/2
x = v/3.3²/2
x = 3v/2
II - Uniform
s = s₀ + vt
s = 100
s₀ = x
v = v
t = 9.69 - 3 = 6.69s
s = s₀ + vt
100 = x + v*6.69
100 = x + 6.69v
As x = 3v/2
100 = 3v/2 + 6.69v
100 = 1.5v + 6.69v
100 = 8.19v
v = 12.21m/s
a = v/3 = 4.07 m/s²
b) Dividing the moviment into two parts:
I - With acceleration
v = v₀ + at
s = s₀ + v₀t + at²/2
- v₀ = 0
- s₀ = 0
- a = ?
- v = ?
- t = 3s
- s = x
v = v₀ + at
v = 3a ⇒ a = v/3
s = s₀ + v₀t + at²/2
x = v/3.3²/2
x = 3v/2
II - Uniform
s = s₀ + vt
s = 200
s₀ = x
v = v
t = 19.30 - 3 = 16.30s
s = s₀ + vt
200 = x + v*16.3
100 = x + 16.3v
As x = 3v/2
200 = 3v/2 + 16.3v
200 = 1.5v + 16.3v
200 = 17.8v
v = 11.24m/s
a = v/3 = 3.75 m/s²
Answer:
B
Step-by-step explanation:
In mathematics, a conic section (or simply conic) is a curve obtained as the intersection of the surface of a cone with a plane ( from dictionary)
It’s 16 because you need to kiss the moon
