A jeweler bought 33 boxes of gold clasps . There were 95 clasps in each box. how many gold clasps did the jeweler buy in all. THE SOLUTION IS YOU x 33 by 95. The answer is 3,135
Answer:
0.200
Step-by-step explanation:
∑ₓ₌₁⁴⁰ (1 + i)⁻ˣ = 5
∑ₓ₌₁⁴⁰ ((1 + i)⁻¹)ˣ = 5
This is a geometric series. The sum of the first n terms of a geometric series is:
S = a₁ (1 − rⁿ) / (1 − r)
where a₁ is the first term and r is the common ratio.
Here, a₁ = (1 + i)⁻¹, r = (1 + i)⁻¹, and n = 40. For simplicity, let's write both a₁ and r in terms of r. So a₁ = r and r = r.
5 = r (1 − r⁴⁰) / (1 − r)
5 (1 − r) = r (1 − r⁴⁰)
5 − 5r = r − r⁴¹
r⁴¹ − 6r + 5 = 0
Solving with a calculator, r ≈ 0.8334.
Therefore:
(1 + i)⁻¹ = 0.8334
1 + i = 1.200
i = 0.200
Answer:
Las dimensiones del rectángulo son:
ancho = 16 cm
largo = 20 cm
Step-by-step explanation:
Consideración:
La formula del perímetro de un rectángulo es:
perímetro = 2(largo + ancho)
25% más grande = 125% = 125/100 = 1.25
Planteamiento:
2(a+b) = 72
b = 1.25a
a = longitud del ancho
b = longitud del largo
Desarrollo:
de la primer ecuación del planteamiento:
a+b = 72/2
a+b = 36
b = 36 - a Ec. 3
Igualando la segunda ecuación del planteamiento con la Ec. 3:
1.25a = 36 - a
1.25a + a = 36
2.25 a = 36
a = 36/2.25
a = 16
de la Ec. 3:
b = 36 - a
b = 36 - 16
b = 20
Comprobación:
de la primera ecuación del planteamiento:
2(a+b) = 72
2(16+20) = 72
2*36 = 72
8×25=200
and
200×23=4600
so 8×25×23=4600
Answer:
(2) and (3)
Step-by-step explanation:
(2) shows the total cost of the flowers, minus 10% of the total cost, and 100% - 10% = 90%
(3) shows them taking 90% of the total cost, just like (2)