Cost of fuel = 30% of $400 000 = 30/100 x 400000 = $120 000
Fuel amount = $120 000/$1.5 = 80 000 liters
new cost of fuel = 80000 x $1.6 = $144 000
increase in cost = 144000 - 120000 = $24000
So the increase in petrol price increases the operating cost by $24000
Answer:
C. Quadratic model
Step-by-step explanation:
Determine what type of model best fits the given situation: Farmer Joe has 1,000 bushels of corn to sell. Presently the market price for corn is $5.00 a bushel. He expects the market price to increase by $0.15 per week. For each week he waits to sell, he loses ten bushels due to spoilage. A. none of these B. exponential C. quadratic D. linear
Given:
The quantity of corn Farmer Joe has to sell = 1,000 bushels
The present market price for corn = $5.00 a bushel
The amount by which he expects the market price to rise per week =$0.15
The number of bushels lost to spoilage per week = 10
The price of the corn per bushel with time = 5 + 0.15×t
The amount of corn left with time= 1000 - 10×t
Where;
t = Time in minutes
Value of the corn = Amount of corn left × Price of corn
Value of the corn = (1000 - 10×t) × (5 + 0.15×t)
=(1000-10t) × (5+0.15t)
=5,000 + 150t - 50t - 1.5t²
= -1.5t² +100t + 5000
Value of the corn= -1.5t² +100t + 5000.
It is a quadratic model
Step-by-step explanation:
f ( - 4) = 3 ( - 4) ² - 2( - 4)
=. 3 ( 16) + 8
=. 48 + 8 = 56
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Answer:
Step-by-step explanation:
<u>Proportional relationship:</u>
<u>We have:</u>
- x = 1, y = 55
- x = 2, y = 110
<u>Find the value of k:</u>
or
The equivalent expression of (1.4³/1.2⁴)⁻⁶ is gotten as; 1.2²/1.4³
<h3>How to use rule of exponents?</h3>
We are given the expression as;
(1.4³/1.2⁴)⁻⁶
Now, according to rule of exponents in multiplication, we know that;
x² × x³ = x² ⁺ ³ = x⁵
Thus, applying that rule of exponents above to our given problem and we have;
(1.4³/1.2⁴)⁻⁶ = (1.4³ ⁻ ⁶)/(1.2⁴ ⁻ ⁶)
⇒ 1.4⁻³/1.2⁻²
Also according to rule of exponents we know that;
x⁻¹ = 1/x
x⁻² = 1/x²
Thus;
1.4⁻³/1.2⁻² = (1/1.4³)/(1/1.2²)
⇒ 1.2²/1.4³
Thus, we can conclude about the question that the equivalent expression of (1.4³/1.2⁴)⁻⁶ is gotten as; 1.2²/1.4³
Read more about Rule of Exponents at; brainly.com/question/11761858
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