Answer:
Step-by-step explanation:
In 
a is the initial value and b is the growth/decay rate. Our initial population was 25,000 so a = 25,000. Our rate of decay is 4% or, as a decimal, .04. BUT if the rate of decay is .04, then .96 remains. b = .96
The value of the radius of T is 28 units
<h3>
How to determine the value of the radius of T</h3>
From the question, we understand that:
Segment AB is tangent to T at B
This means that
<ABT = 90
So, we have a right triangle
Let the radius of the triangle be r
By the Pythagoras theorem, we have
AT^2 = AB^2 + VT^2
This gives
(25 + r)^2 = 45^2 + r^2
Open the bracket
625 + 50r + r^2 = 2025 + r^2
Subtract r^2 from both sides of the equation
625 + 50r = 2025
Subtract 625 from both sides of the equation
50r = 1400
Divide both sides by 50
r = 28
Hence, the value of the radius of T is 28 units
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9514 1404 393
Answer:
2 3/4 years
Step-by-step explanation:
The interest is given by the formula ...
I = Prt . . . . . . principal P at annual rate r for t years
Solving for t gives ...
t = I/(Pr)
t = 4167.90/(16840×0.09) = 2.75
The duration of the loan is 2 3/4 years.
Answer:constant is 2/33
Step-by-step explanation:
1 min to fill 16.50 gallons
Time(t) varies directly as volume(v)
t α v
t =k x v Where k is constant
1=k x 16.50
k=1/16.50
k=2/33
Constant is 2/33
Sum of all exterior angles = 360°
Size of one exterior angle = 40°
Number of sides = 360 ÷ 40 = 9
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Answer: There are 9 sides to this polygon.
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