For A: 1 senior; 1 infant; 2 children; 4 adults, out of 8 people
for B: 1 senior; 3 infants; 6 children; 6 adults, out of 16 people
for D: $43.75
for E: $76.25
Let the three gp be a, ar and ar^2
a + ar + ar^2 = 21 => a(1 + r + r^2) = 21 . . . (1)
a^2 + a^2r^2 + a^2r^4 = 189 => a^2(1 + r^2 + r^4) = 189 . . . (2)
squaring (1) gives
a^2(1 + r + r^2)^2 = 441 . . . (3)
(3) ÷ (2) => (1 + r + r^2)^2 / (1 + r^2 + r^4) = 441/189 = 7/3
3(1 + r + r^2)^2 = 7(1 + r^2 + r^4)
3(r^4 + 2r^3 + 3r^2 + 2r + 1) = 7(1 + r^2 + r^4)
3r^4 + 6r^3 + 9r^2 + 6r + 3 = 7 + 7r^2 + 7r^4
4r^4 - 6r^3 - 2r^2 - 6r + 4 = 0
r = 1/2 or r = 2
From (1), a = 21/(1 + r + r^2)
When r = 2:
a = 21/(1 + 2 + 4) = 21/7 = 3
Therefore, the numbers are 3, 6 and 12.
Answer:
133.33 years
Step-by-step explanation:
Given that:
Principal = $500
Interest rate (r) = 1.5% = 0.015
Triple amount of principal = $500 * 3 = $1500 = final amount (A)
Number of years (t) =?
Using the relation :
A = P(1 + rt)
1500 = 500(1 + 0.015t)
1500 / 500 = 1 + 0.015t
3 = 1 + 0.015t
3 - 1= 0.015t
2 = 0.015t
2 / 0.015 = 0.015t / 0.015
133.333 = t
133.33 years
Answer:
The answer is 41
Step-by-step explanation:
Respuesta:
416
Explicación paso a paso:
El Área de la habitación:
Largo * ancho
Longitud = 15 pies
Ancho = 12 pies
Área de la habitación = Largo * Ancho
Área de la habitación = 15 pies * 12 pies
Área de la habitación = 180 pies²
Conversión del área de la habitación en patio²
Dividir el área en pies² por 9
180 pies² ÷ 9 = 20 yardas²
Costo de la alfombra por yarda cuadrada = 20.80
Costo total de la alfombra = 20.80 * 20 = 416
