The expression that completes the function b(x) is b(x) = 33741 * (1.028)^x
<h3>How to determine the expression of b(x)?</h3>
The given parameters are:
Initial value, a = 33741
Rate, r = 2.8%
The cost of tuition each year since 2015 is represented as
B(x) = a * (1 + r)^x
This gives
B(x) = 33741 * (1 + 2.8%)^x
Evaluate
b(x) = 33741 * (1.028)^x
Hence, the expression that completes the function b(x) is b(x) = 33741 * (1.028)^x
Read more about exponential functions at:
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<u>Complete question</u>
A study estimates that the cost of tuition at a university will increase by 2.8% each year. The cost of tuition at the University in 2015 was $33,741 the function b(x) , models the estimated tuition cost , where x is the number of years since 2015.
Find the expression that completes the function b(x)
9514 1404 393
Answer:
D. 12
Step-by-step explanation:
There are a number of ways to find the area of this rectangle. Perhaps the most straightforward is to find the lengths of the sides and multiply those. The distance formula is useful.
d = √((x2 -x1)^2 +(y2 -y1)^2)
Using the two upper-left points, we find the length of that side to be ...
d = √((3 -0)^2 +(3 -0)^2) = √(9 +9) = √18 = 3√2
Similarly, the length of the lower-left side is ...
d = √((-2 -0)^2 +(-2 -0)^2) = √(4+4) = √8 = 2√2
Then the area of the rectangle is ...
A = LW
A = (3√2)(2√2) = 3·2·(√2)^2 = 3·2·2 = 12
The area of rectangle ABCD is 12.
_____
Other methods include subtracting the area of the corner triangles from the area of the bounding square:
5^2 -2(1/2)(3·3) -2(1/2)(2·2) = 25 -9 -4 = 12
Answer:
The number is 0.000358 lbs.
Step-by-step explanation:
Scientists found that the body of a male consists of
lbs of zinc.
This is a scientific way of writing a number.
For, example 0.0023, a number in normal or standard notation can be scientifically written as
.
So, in our case, the number is
lbs and we have to write this number in standard notation.
Then the number is 0.000358 lbs. (Answer)