C(x) = 400 + 20x - 0.2x²
c(30) = 400 + 20(30) - 0.2(30)²
= 400 + 600 - 0.2(900)
= 1000 - 180
= 820
It costs $820 when 30 radios are produced.
Marginal cost is how much it would cost to make one MORE of the same product so now we find how much it costs to produce 31 radios and compare the two.
c(31) = 400 + 20(31) - 0.2(31)²
= 400 + 620 - 0.2(961)
= 1020 - 192.2
= 827.8 or ≈828.
Now we find the difference which means we subtract the two.
828 - 820 = 8.
Your marginal cost is $8.
To compare we can also do 29 radios.
c(29) = 400 + 20(29) - 0.2(29)² = 811.8 or ≈812
820 - 812 = 8.
Answer:
£ 631
Step-by-step explanation:
Hi this is a simple mathematics issue.
First, let's imagine what is 3%. '3 percents' means 3/100. If your family have 100 apples and you have 3 apples, that means you have 3% of your family apples.
Now, get back to this problem. We need to find the price before increase. Let's say the price was £ X. Now we will find the X number.
It's said that the price was increased by 3%. That means they took 3% of X and added that amount to X to have the new price : £ 650. That means we have this equation :
650 = X + 3%×X
Let's make it easier to look :
650 = X + 3/100 ×X
650 = X×( 1+ 3/100)
= X × 103/100
So we can see 650 is equaled to X multipled by 103/100.
To find the correct answer, simply divide 650 by 103/100.
*A hint: When you divide a number by a fraction, you can simply put the number multiplied by the "flipped" fraction .
Hope you learn with Joy and High Grades !!!
Use pythagorean’s theorem
as you can see it’s a right isosceles triangle
so your equation is adapted to this:
p^2 + p^2=44^2
add like terms and simplify
2p^2=1936
divide by 2
p^2=968
square root
p= √968
simplify
p=22√2
the answer would be your second option
The equation to show the depreciation at the end of x years is
Data;
- cost of machine = 1500
- annual depreciation value = x
<h3>Linear Equation</h3>
This is an equation written to represent a word problem into mathematical statement and this is easier to solve.
To write a linear depreciation model for this machine would be
For number of years, the cost of the machine would become
This is properly written as
where x represents the number of years.
For example, after 5 years, the value of the machine would become
The value of the machine would be $500 at the end of the fifth year.
From the above, the equation to show the depreciation at the end of x years is f(x) = 1500 - 200x
Learn more on linear equations here;
brainly.com/question/4074386
Answer:
8 percent
Step-by-step explanation:
9.75/9 is 1.08, which means 8 percent
