Answer:
y= 48 + 0.1x
x= miles driven
Step-by-step explanation:
<u>We need to calculate the fixed and variable cost (per mile) of renting a car. To do that, we will use the high-low method:</u>
Variable cost per unit= (Highest activity cost - Lowest activity cost)/ (Highest activity units - Lowest activity units)
Variable cost per unit= (65 - 58) / (170 - 100)
Variable cost per unit= $0.1 per mile
Fixed costs= Highest activity cost - (Variable cost per unit * HAU)
Fixed costs= 65 - (0.1*170)
Fixed costs= $48
Fixed costs= LAC - (Variable cost per unit* LAU)
Fixed costs= 58 - (0.1*100)
Fixed costs= $48
y= 48 + 0.1x
x= miles driven
Correct answers are:
(1) <span>28, 141 known cases
(2) 79913.71 known cases after six weeks (round off according to the options given)
(3) After approx. 9 weeks (9.0142 in decimal)
Explanations:
(1) Put x = 0 in given equation
</span><span>y= 28, 141 (1.19)^x
</span><span>y= 28, 141 (1.19)^(0)
</span>y= 28, 141
(2) Put x = 6 in the given equation:
<span>y= 28, 141 (1.19)^x
</span><span>y= 28, 141 (1.19)^(6)
</span>y= 79913.71
(3) Since
y= 28, 141 (1.19)^x
And y = <span>135,000
</span>135,000 = 28, 141 (1.19)^x
135,000/28, 141 = (1.19)^x
taking "ln" on both sides:
ln(4.797) = ln(1.19)^x
ln(4.797) = xln(1.19)
x = 9.0142 (in weeks)
1. Plug in -3 for a
14-(-3)^2
14-9
5
Final answer: 5
2. 15 more than r=15+r (notice the keyword more) equals 61
Final answer: r+15=61
Answer:
see explanation
Step-by-step explanation:
Assuming you require to factorise the expressions
16
- 12
+ 4y ← factor out 4y from each term
= 4y(4 - 3y³ + 1)
--------------------------------
64ax² - 49ay² ← factor out a from each term
= a(64x² - 49y²) ← this is a difference of squares and factors in general as
a² - b² = (a - b)(a + b) , then
64x² - 49y²
= (8x)² - (7y)²
= (8x - 7y)(8x + 7y)
then
64ax² - 49ay² = a(8x - 7y)(8x + 7y)
