Answer:
t = 2.7
Step-by-step explanation:
1. Use formula provided
2. A = 3500 B = 2000 r = 4.75 n = 12months/4 = 3 months t = ?
3. Solve
3500=2000(1+4.75/3)^3t
3t=logbase(31/12)*1500
t=logbase(31/12)*1500 / 3
t ≅2.568
Answer:
3.2 gallons
Step-by-step explanation:
Write a proportion:
1 gallon / 825 square feet = x / 2640 square feet
Solve:
x = 3.2 gallons
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X - y = 3
6x + 4y = 13
x = y + 3
6(y + 3) + 4y = 13
6y + 18 + 4y = 13
10y = 13 - 18
10y = - 5
y = - 5/10
y = - 1/2
x = - 1/2 + 3
x = - 1/2 + 6/2
x = 5/2
3) 3.sec² Ф = 4.tan² Ф
but sec² Ф = 1/cos² Ф
3/cos² Ф = 4.tan² Ф
3/4 = (tan² Ф).(cos² Ф) ; tan² Ф = sin² Ф/cos² Ф
3/4 = (sin² Ф)x(cos² Ф)/(cos² Ф)
sin² Ф = 3/4
a) sin Ф = +(√3)/2 and b) sin Ф = - (√3)/2
sin Ф = + - (√3)/2 → Ф =π/3 + kπ/3