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GREYUIT [131]
2 years ago
5

The function, B (x), models the estimated tuition cost where x is the number

Mathematics
1 answer:
zepelin [54]2 years ago
4 0

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:

brainly.com/question/12636638

#SPJ1

<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)​

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Answer:

The  constant of proportionality k = 12

Hence, option A is true.

Step-by-step explanation:

We know that when 'y' varies directly with 'x', we get

y ∝ x

y = kx

Where 'k' is called the constant of proportionality.

In our case,

The given equation is

y = 12x

comparing with the equation y = kx, we can say

k = 12 which is the constant of proportionality.

Therefore, we conclude that:

The  constant of proportionality k = 12

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3 years ago
D) A certain production process takes two stages 1 and 2. In a given period 5,000 units were introduced in process one and the c
Flauer [41]

The cost per unit of the complete units assuming that defective units are sold at Ksh 20 per unit is Rm 93.73.

<h3>What is the cost per unit with defective units?</h3>

The cost per unit with defective units can be computed by subtracting the sales value of the sold defective units from the total production costs, thereby reducing the total production costs, and then dividing the resulting figure by the number of good units.

<h3>Data and Calculations:</h3>

                               Process 1              Process 2          Total costs  

Materials             Rm 100,000              150,000              250,000

Labor                          50,000                50,000              100,000

Overheads                 50,000                20,000                70,000

Total costs                                                                        420,000

Input units = 5,000

Output units = 4,480

Defective units = 520 (5,000 - 4,480)

Sales revenue from defective units = Rm 104 (520 x Rm 0.20)

Cost per unit = Rm 93.73 (Rm 420,000 - Rm 104)/4,480

Thus, the cost per unit of the complete units assuming that defective units are sold at Ksh 20 per unit is Rm 93.73.

Learn more about accounting for defective units at brainly.com/question/10035226

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What is the following simplified product? Assume x greater-than-or-equal-to 0
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Answer:

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Step-by-step explanation:

Remove perfect squares from under the radicals.

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_____

The applicable rules of exponents are ...

  (x^a)(x^b) = x^(a+b)

  √(a^2) = a . . . . . . . for a > 0

  (√a)(√b) = √(ab)

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