Answer:
E
Step-by-step explanation:
Let's say if b = -2 and c = -3
-2-(-3) = 1 that would be the distance between them. If it was D then you would need absolute value.
Hope this helps! Have a nice day!
Answer:
5 and 25
Step-by-step explanation:
let the son's age be x then the father's age is x + 20
In 5 years
son = x + 5 and father = x + 20 + 5 = x + 25
Then
x + 25 = 3(x + 5) ← father is three times as old as son
x + 25 = 3x + 15 ( subtract x from both sides )
25 = 2x + 15 ( subtract 15 from both sides )
10 = 2x ( divide both sides by 2 )
5 = x and x + 20 = 5 + 20 = 25
si=on is 5 and father is 25
2 1/4 * 2
9/4 * 2 = 18/4
4 1/2
The question is an illustration of composite functions.
- Functions c(n) and h(n) are
and 
- The composite function c(n(h)) is

- The value of c(n(100)) is

- The interpretation is: <em>"the cost of working for 100 hours is $130000"</em>
The given parameters are:
- $5000 in fixed costs plus an additional $250
- 5 systems in one hour of production
<u>(a) Functions c(n) and n(h)</u>
Let the number of system be n, and h be the number of hours
So, the cost function (c(n)) is:

This gives


The function for number of systems is:


<u>(b) Function c(n(h))</u>
In (a), we have:


Substitute n(h) for n in 

Substitute 


<u>(c) Find c(n(100))</u>
c(n(100)) means that h = 100.
So, we have:



<u>(d) Interpret (c)</u>
In (c), we have: 
It means that:
The cost of working for 100 hours is $130000
Read more about composite functions at:
brainly.com/question/10830110
Based on the calculations, the interest rate on the stock in four (4) years is equal to 7.1%.
<u>Given the following data:</u>
Amount borrowed (Principal) = $22,000.
Simple interest, I = $78.40.
Time = 4 year.
To determine the interest rate on the stock in four (4) years:
<h3>How to calculate simple interest?</h3>
Mathematically, simple interest can be calculated by using this formula:
I = PRT
<u>Where:</u>
- S.I is the simple interest.
- P is the principal or starting amount.
- T is the time measured in years.
Making R the subject of formula, we have:
R = I/PT
Substituting the given parameters into the formula, we have;
R = 6260/(22,000 × 4)
R = 6260/(88,000)
Interest rate = 0.071 = 7.1%.
Read more on simple interest here: brainly.com/question/24341207
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