Answer:
The laser printer will have depreciated to $1487.5
Step-by-step explanation:
The cost price is $3400 and at a depreciation rate of 12% annually
then if it is used for 3 years, it would have depreciated
(3400 × 12 × 3)/100
= 34 × 12× 3
= $1912.5
Therefore the new price value will be
$3400 - $1912.5 = $1487.5
By evaluating the <em>linear</em> function f(x) = x - 3 at x = 5 and discarding the another function in the table given, we conclude that f(5) = 2 belongs to that <em>linear</em> equation.
<h3>What function contains a given relationship?</h3>
In this problem we must check if the given relationship between the <em>independent</em> variable (x) and the <em>dependent</em> variable (y) exists in any of the two functions: (i) a table, (ii) an expression.
After a quick analysis, we conclude that f(5) = 2 is a point of the linear function f(x) = x - 3. Here is the proof:
f(5) = 5 - 3
f(5) = 2
To learn more on linear equations: brainly.com/question/11897796
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Answer:
1350m
Step-by-step explanation:
Let the distance ran by Denise, Farah and Elaine be D, F and E meters respectively.
From the given information,
D= ⅔(E +F) -----(1)
E= ½(D +F) -----(2)
Let's get rid of the fraction so the equations are much easier to work with.
From (1):
3D= 2(E +F) <em>(Multiply both sides by 3)</em>
3D= 2E +2F -----(3) <em>(</em><em>Expand</em><em>)</em>
From (2):
2E= D +F -----(4)
Substitute (4) into (3):
3D= D +F +2F
3D -D= 3F
2D= 3F
Given that Farah ran 360m, F= 360.
2D= 3(360)
2D= 1080
D= 1080 ÷2
D= 540
2E= D +F
2E= 540 +360
2E= 900
E= 900 ÷2
E= 450
Total distance the 3 girls ran
= D +F +E
= 540 +360 +450
= 1350m
Alternatively, you could start by substituting F= 360 to equations (1) and (2).
2/5 of 50=20
1/5 of 100=20
therefore, this is correct
Answer:
Step-by-step explanation:
Step 1
<u>Find the height:</u>
- h² = 8² - (12 - 8)²
- h² = 64 - 16 = 48
- h = √48 = 4√3
Step 2
<u>Find the area:</u>
- A = 1/2(a + b)h
- A = 1/2(12 + 8)(4√3) = 40√3 cm²