Answer:
Step-by-step explanation:
We will prove this with the help of a contradiction:
Let as assume that 
Multiplying both sides by 
which is not possible.
Hence, our assumption was wrong which led us to a contradiction.
Thus,
Answer:
Step-by-step explanation:
Simplify:
45 = 5 * 3 * 3
60 = 5 * 3 * 2 * 2
GCF = 5*3 = 15
Answer:
-17
Step-by-step explanation:
Answer:
INF for first while D for second
Step-by-step explanation:
Ok I think I read that integral with lower limit 1 and upper limit infinity
where the integrand is ln(x)*x^2
integrate(ln(x)*x^2)
=x^3/3 *ln(x)- integrate(x^3/3 *1/x)
Let's simplify
=x^3/3 *ln(x)-integrate(x^2/3)
=x^3/3*ln(x)-1/3*x^3/3
=x^3/3* ln(x)-x^3/9+C
Now apply the limits of integration where z goes to infinity
[z^3/3*ln(z)-z^3/9]-[1^3/3*ln(1)-1^3/9]
[z^3/3*ln(z)-z^3/9]- (1/9)
focuse on the part involving z... for now
z^3/9[ 3ln(z)-1]
Both parts are getting positive large for positive large values of z
So the integral diverges to infinity (INF)
By the integral test... the sum also diverges (D)
15 500 at 11% ordinary interest for 120 days.
=> 120 days = approximately 4 months.
=> 15 500 * .11 = 1705 dollars interest
=> 15 500 + 1750 = <span>17 205 dollars
=> </span><span>17 205 dollars - 3000 dollars after 70 days = 14 205 dollars is the amount due</span>
