Answer:
The exact cost of producing the 21st food processor is $38.52.
The marginal cost to approximate the cost of producing the 21st food processor is $38.24
Step-by-step explanation:
Consider the provided function.
(A) Find the exact cost of producing the 21st food processor
The exact cost producing 21st food processor is C(21)-C(20)
Substitute x=21 in above function.
Substitute x=20 in above function.
The exact cost producing is:
Hence, the exact cost of producing the 21st food processor is $38.52.
Part (B) Use the marginal cost to approximate the cost of producing the 21st food processor,
To find the marginal cost first differentiate the function with respect to x.
Now substitute x=21 in above function.
The marginal cost to approximate the cost of producing the 21st food processor is $38.24
Answer:
D. -3 and 3
Step-by-step explanation:
We are given an output of 2. This means this is the value we need an input for. We need to find a number(s) that lie on the x axis and when we move up, you get an output of 2.
Option A:
If we are given an input of -2, we start at (-2, 0) and move up until we reach a point on the line. We end up lying on the point (-2, 3). Thus, the output for having an input of -2 is 3 which proves that this answer is incorrect.
Option B:
As stated above -2 has an output of 3 which is wrong. Since we know this, we can eliminate this as an option.
Option C:
If we are given an input of -3, we start at (-3, 0) and move up until we reach a point on the line. We end up lying on the point (-3, 2). Thus, the output for having an input of -2 is 2 which proves that this answer is correct.
Option D:
We know that -3 is a possible input so we just need to check 3 as an input.
If we are given an input of 3, we start at (3, 0) and move up until we reach a point on the line. We end up lying on the point (3, 2). Thus, the output for having an input of 3 is 2 which proves that this answer is also correct.
Since we know that -3 and 3 are possible inputs for an output of 2 on the graph, we need to include them both in our answer. Thus, the answer is D.
Best of Luck!
Answer:
1.0125
Step-by-step explanation:
Since b/a is 0.75 and a is given as 0.35
Then let's start by solving for b
Ok...how
b/a=0.75
a=0.35
Then make b the subject of formula
b=0.75×a
Then substitute the value of a
b=0.75×0.35
b=0.2625
Let's continue
b and a means b + a
0.75+0.2625
1.0125
Therefore the final answer is 1.0125
Answer:
40 years old
Step-by-step explanation:
Let's imagine a+b=63
63-12=51 (since they were both 6 years younger)
A is double B
34+17=51
34/2=17
You need to add the 6 years back onto the mothers age - 34+6=40
40 years old