Answer:
and then we have:

Step-by-step explanation:
From the info given by the problem we need an integer defined as the smallest positive integer that is a multiple of 75 and have 75 positive integral divisors, and we are assuming that 1 is one possible divisor.
Th first step is find the prime factorization for the number 75 and we see that

And we know that 3 =2+1 and 5=3+2 and if we replace we got:

And in order to find 75 integral divisors we need to satisify this condition:
such that 
For this case we have two prime factors important 3 and 5. And if we want to minimize n we can use a prime factor like 2. The least common denominator between 2 and 4 is LCM(2,4) =4. So then the need to have the prime factors 2 and 3 elevated at 4 in order to satisfy the condition required, and since 5 is the highest value we need to put the same exponent.
And then the value for n would be given by:
and then we have:

Complete question :
si para introducir un producto al país se pagan $225 por concepto de impuestos y dicho producto cuesta $1,200 ¿que porcentaje se cobra por impuesto?
Responder:
18,75%
Explicación paso a paso:
Dado que:
Monto cobrado por impuestos = $ 225
Costo del producto sujeto a impuestos = $ 1200
El porcentaje del precio de costo del producto que se grava:
Sea porcentaje = x%
x% * precio de coste = importe de impuestos
0.01x * $ 1200 = $ 225
12x = 225
x = 225/12
x = 18,75
Por tanto, porcentaje de impuesto = 18,75%
Answer:
yES 2:3
Step-by-step explanation:
The sides are the same length
6,277,765 rounds up to 6,300,00