Answer:
The correct option is 1. The function shows the exponential growth of 7%.
Step-by-step explanation:
The given function is
The exponential model is defined as
Where, the initial value is C, r is growth rate, (1+r) is growth factor and t is time. If r<0, then it represents the decay of r%.
Rewrite the given function.
The value of r is 0.07, which is a positive value.
Therefore the growth rate is 7% and option 1 is correct.
Answer:
Width = 18 inches
Perimeter = 99 inches
Area = 567 square inches
Step-by-step explanation:
The sides of a rectangle are in the ratio 4:7. Then
Width in
Length in.
If its longer side is 31.5 in, then
Length = 31.5 in
and
So,
Width
The perimeter is
The area is
Answer:
Step-by-step explanation:
Let n(U) be total amount or customers = 100%
n(C) = 80% of its customers subscribe to its cable TV service.
n(I) = 41% of its customers subscribe to its Internet service.
n(T) = 31% of its customers subscribe to its telephone service.
n(CnI) = 25% of its customers subscribe to both its cable TV and Internet service.
n(CnT) = 20% of its customers subscribe to both its cable TV and phone service.
n(InT) = 22% of its customers subscribe to both its Internet and phone service.
n(CnInT) = 15% of its customers subscribe to all three services
number of those that subscribed to TV only = n(C) - (n(CnInT')+(n(CnI'nT)+(n(CnInT))
= 80-[(25-15)+(20-15)+15]
= 80-{10+5+15)
= 80-30
= 50
Hence 50% read cable TV only
Pr(cable TV only) = 50/100 = 1/2
2) number of people that read internet and cable TV = 25%
Pr(internet and cable) = 25/100 = 1/4
3) number of people that had exactly two services are;
n(cable and internet only)+n(internet and phone only)+(cable and phone only)
= (25-15)+(22-15)+(20-15)
= 10+7+4
= 21%
Hence 21℅ read exactly two services
pr(exactly 2 services) = 21/100
4) number of people that read internet and cable only = n(CnI) - n(CnInP)
= 25-15 = 10%
Pr(Internet and cable only) = 10/100 = 1/10
