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andrezito [222]
2 years ago
14

Thomas consumes coffee ( C) and doughnuts ( D). His budget line was described by the equation D = 20 - 2 C. At a later time, his

budget line could be described by the equation D = 10 - C. The change between the earlier budget line and the later could be explained by the fact that __________________.
Mathematics
1 answer:
dexar [7]2 years ago
4 0

Answer:

Thomas' real income now is half that it was  (nominal income decreased by half or prices doubled)

Step-by-step explanation:

If you graph both cases you will see that the shift is parallel between one case and the other.

Changes in relative prices (this is, if only one of the goods change prices), would cause a rotation in the budget line

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What is the additive identity of the complex number 14 + 5i?
Naddika [18.5K]

Answer: B) 0


Step-by-step explanation:

1. When you add complex numbers you must add the whole parts and then the imaginary parts.

2. One of the properties of complex numbers is called "Additive identity" which is represented by:

0+0i

3. Then, for the complex number 14+5i, you have:

(14+5i)+(0+0i)=(14+0)+(5+0)i=14+5i

4. Therefore, the answer is the option B.

7 0
2 years ago
Read 2 more answers
The sum of the first 1 million primes is N. Without knowing N's value, one can determine that the ones'digit of N cannot be
insens350 [35]
All primes are odd, except two. Therefore the sum of the first million primes is one even number plus 999999 odd numbers. Since odd*odd = odd, the first million primes must be even + odd = odd.

An odd number obviously has an odd final digit, so the only option that can be firmly rules out is b (which is even).
3 0
2 years ago
Find f(x) if it is known that f(2a−1)=7a−13.
sattari [20]

Answer:

f(x)=3.5x-9.5

Step-by-step explanation:

Given:

The given function in terms of 'a' is given as:

f(2a-1)=7a-13

In order to determine f(x), we need to make 2a-1 equal to 'x' and find the value of 'a'. Therefore,

2a-1=x\\2a=x+1\\a=\frac{x+1}{2}

Now, plug in the value of 'a' on both sides, we get:

f(2\frac{x+1}{2}-1)=7\frac{(x+1)}{2}-13\\f(x+1-1)=3.5(x+1)-13\\f(x)=3.5x+3.5-13\\f(x)=3.5x-9.5

Therefore, the expression for the function in terms of 'x' is:

f(x)=3.5x-9.5

6 0
2 years ago
Use polar coordinates to find the volume of the given solid. bounded by the paraboloid z = 9 + 2x2 + 2y2 and the plane z = 15 in
mina [271]

Answer:

Z = 8 + 2x2 + 2y2

Convert to polar coordinates

Z = 8 + 2r2

Now theta will go from 0 to pi/2 because it's in the first quadrant.

R will go from 0 to the radius of the circle formed at the intersection of the plane and the paraboloid.

14 = 8 + 2r2

r = sqrt(3)

So r goes from 0 to sqrt(3).

You integrate 14-z where 0<r<sqrt(3) and 0<theta<pi/2.

It is 14-z and not z because just z would give the volume under the paraboloid.

Step-by-step explanation: please go answer my recent question

5 0
2 years ago
Shelley is searching online for airline tickets. Two weeks​ ago, the cost to fly from Boston to Denver was ​$300. Now the cost i
Nady [450]

Answer:

The percentage increase without baggage fee=25%

The percentage increase with baggage fee=41.66%

Step-by-step explanation:

Given the cost of the airline ticket two weeks ago is $300 and The present airline ticket is $375

We know that when a quantity increases from x to y then The percentage increase is equal to \frac{y-x}{x} *100

Here the percentage increase =  \frac{375-300}{300} *100=25%

Now the airline charges an extra $50 baggage fee which means teh present value of the airline ticket is $375+$50=$425

the percentage increase =  \frac{425-300}{300} *100=41.66%

4 0
2 years ago
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