Answer:
Part a: So the number of business owners giving holiday gift to their employees from survey is 12.
Part b: p-value is 0.00003
Part c: value of p is less that a we reject the null hypothesis.
Step-by-step explanation:
Part a
number of business owners=20% x n
number of business owners= 0.2x 60
number of business owners=12
Part b
H0: p=0.46
H1: p<0.46
Here
n=60,
=0.2, p=0.46
So test statistics is given as

p-value is P(z<-4.04)= 0.00003
Part c
As value of p is less that a we reject the null hypothesis.
Answer:
12 x^5y^12
Step-by-step explanation:
3x^2y^5 * 4x^3y^7
Multiply the constants
3*4 = 12
Multiply the x terms
x^2 * x^3
We know a^b* a^c = a^(b+c)
x^(2+3) = x^5
Multiply the y terms
y^6 * y^7 = y&(5+7) = y^12
Put them back together
12 x^5y^12
Solve for "years" (t)
A=P e^(rt)
A=1000
P=500
e=e
r=0.0462
Solve for t: use natural logarithms
(0.0462)t=in 2
t=15 years