Answer:
x = 10
y = 20
Step-by-step explanation:
7x + 90 + 20 = 180
7x = 70
x = 10
5x + 2y = 90
50 + 2y = 90
2y = 40
y = 20
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)
3(x + 1) - 2x = -6 |use distributive property: a(b + c) = ab + ac
3x + 3 - 2x = -6
x + 3 = -6 |subtract 3 from both sides
x = -9
The volume of a cylinder is represented by the following equation...
V=<span><span>πr^2 x </span><span>h
</span></span>
Volume = π(64)(14)
Your volume is 896π