Answer:
0.73 yrs
Step-by-step explanation:
if t is time in years
quarterly
600 = 200(1 + 0.06625/4)^4t
3 = (1 + 0.06625/4)^4t
ln3 = 4tln(1. + 06625/4)
t = ln3 / (4ln1.0165625)
t = 16.7198 yrs
continuously
600 = 200e^(0.06875t)
3 = e^(0.06875t)
ln3 = 0.06875t
t = ln3 / 0.06875
t = 15.9798 years
Δt = 16.7198 - 15.9798 = 0.73 yrs
Answer:
1.80 in^3
1.0 fluid ounces^3
Step-by-step explanation:
volume of a cone = 1/3 πr²h
π = 3.14
r = 2.2 / 2 = 1.1
h = the value of h can be determined using Pythagoras theorem
The Pythagoras theorem : a² + b² = c²
where a = length
b = base
c = hypotenuse
1.8² = 1.1² + b²
3.24 = 1.21 + b²
3.24 - 1.21 = b²
2.03
b = √2.03 = 1.42
Volume = 1/3 x 3.14 x 1.21 x 1.42 = 1.80 in^3
1.80 x 0.554 = 1.0 fluid ounces^3
Answer:
The range interval is: (7, -1)
Step-by-step explanation:
Given the function
g(x) = -2r+5
Let us put the domain values in the interval (-1, 3)
Putting x = -1
g(x)=-2r+5
= -2(-1)+5
= 2+5
= 7
Putting x = 0
g(x)=-2r+5
= -2(0)+5
=0+5
= 5
Putting x = 1
g(x)=-2r+5
= -2(1)+5
=-2+5
= 3
Putting x = 2
g(x)=-2r+5
= -2(2)+5
=-4+5
= 1
Putting x = 3
g(x)=-2r+5
= -2(3)+5
=-6+5
= -1
Thus the range interval is: (7, -1)
Answer:
This is simple. And, you best not be cheating either.
15 - 1 x 18 / 6
1x18 = 18
18/6 is 3.
15 - 3 = 12
12 is the answer.
Step-by-step explanation: