So since the length is 4+w. Then the perimeter 2(4+w) + 2w >= 48.
so, 8+2w+2w>=48.
8+4w>=48
4w>=40
w>=10
so, the width must be at least 10. And the smallest dimensions can be 10 x 14.
The exponential function that represents the future value of the investment is $300(1.04)^t.
<h3>What is the exponential function?</h3>
The exponential function that can be used to determine the future value of the investment is:
FV = P (1 + r)^nm
- FV = Future value
- P = Present value
- R = interest rate
- m = number of compounding
- N = number of years
$300(1.04)^t.
Where t represents number of years
To learn more about future value, please check: brainly.com/question/18760477
Answer: The answer would be -3
Step-by-step explanation:
<em> Subtract -4 from -1 to get your answer.</em>
By using trigonometric relations, we will find that:
sin(θ) = (√33)/7 = √(33/49)
<h3>How to find the value of the sine?</h3>
Remember that for a right triangle, we have the relations:
cos(a) = (adjacent cathetus)/(hypotenuse)
sin(a) = (opposite cathetus)/(hypotenuse).
Here we know that:
cos(θ) = 4/7
Then we can say that we have a triangle with an adjacent cathetus of 4 units and a hypotenuse of 7 units. Now we need to find the other cathetus.
opposite cathetus = √(7^2 - 4^2) = √33
Then we can write:
sin(θ) = (√33)/7 = √(33/49)
If you want to learn more about trigonometry.
brainly.com/question/8120556
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Area of a circle = pi x r^2
Area of circle = 150,000/ 1578 = 95.06 square miles
95.06 = 3.14 x r ^2
Divide both sides by 3.14
R^2 = 30.27
Find the square root:
R = sqrt(30.27)
R = 5.5
The radius is c) 5.5 miles
