The estimate of the number of students studying abroad in 2003 is 169 and the estimate of the number of students studying abroad in 2018 is 433
<h3>a. Estimate the number of students studying abroad in 2003.</h3>
The function is given as:
y = 123(1.065)^x
Where x represents years from 1998 to 2013
2003 is 5 years from 1998.
This means that
x = 5
Substitute the known values in the above equation
y = 123(1.065)^5
Evaluate the exponent
y = 123 * 1.37008666342
Evaluate the product
y = 168.520659601
Approximate
y = 169
Hence, the estimate of the number of students studying abroad in 2003 is 169
<h3>b. Assuming this equation continues to be valid in the future, use this equation to predict the number of students studying abroad in 2018.</h3>
2018 is 20 years from 1998.
This means that
x = 20
Substitute the known values in the above equation
y = 123(1.065)^20
Evaluate the exponent
y = 123 * 3.52364506352
Evaluate the product
y = 433.408342813
Approximate
y = 433
Hence, the estimate of the number of students studying abroad in 2018 is 433
Read more about exponential functions at:
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In this situation, you have to use the equation
T = 2π√L / 32
We need to find L so we have:
T / 2π = √L / 32
(T / 2π) ^ 2 = L / 32
L = 32 * (T / 2π) ^ 2
Substitute the values:
L = 32 * (8.72 / (2 * (3.14))) ^ 2
L = 61.69694511 feet
L = 62 feet
So the Answer is
L = 62 feet
(a)The domain of the function is, 
(b)The given function is discontinuous at x=0.
<h3>What is the domain and range of a function?</h3>
Domain is the set of values for which the given function is defined. Range is the set of all values which the given function can output.
The standard function is;
The domain of the given function is found as;
The domain of the function is,
To find the function is continuous or not, we have to find the continuity;
At x= 0 the function is undefined. So that the function is discontinuous at x=0.
Hence, The domain of the function is, and the function is discontinuous at x=0.
To learn more about domain, refer to the link:
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Answer:
22
Step-by-step explanation:
f. 24-(5-9+18)÷7
24-(14)÷ 7
24 - 2 = 22
hope it helps.....
Those two angles are complementary - which means they both give us 90
degrees. We know that all three angles in any triangle must be exactly
180 degrees, so the third angle will be 180 - 90 = 90 degrees. It means
that our triangle is a straight triangle. The figure will look more less like in the attachment.
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