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EastWind [94]
2 years ago
5

The manufacturers of Yum Yogurt have planned a TV ad campaign during a show popular with teenagers. Ad rates during this TV show

are $146,000 for a 30-second ad. Yum Yogurt will be advertised during each of the next 20 segments of the show in one 30-second spot per segment. What is the total campaign cost?
Mathematics
1 answer:
enyata [817]2 years ago
3 0
We have this following information

30-seconds ad = $146000
The manufacturer wants to use one slot of 30-second per segment
Total segment = 20 segment

Total campaign cost = 20×146000 = $2,920,000
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kirza4 [7]
The correct answer for this question is this one: "D it increases by $1,800,000"
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3 0
2 years ago
The telephone company is planning to introduce two new types of executive communications systems that it hopes to sell to its la
cluponka [151]

Answer:

x = 31 hundred dolars   and      

y = 91/2 = 45.5 hundred dolars

Step-by-step explanation:

Given

R(x) = (40−8x+5y)*x + (50+9x−7y)*y

C(x) = (40−8x+5y)*10 + (50+9x−7y)*29

We can use the equation

P(x) = R(x) - C(x)

where

P(x) is the profit

R(x) is the revenue

and C(x) is the costs

In order to maximize the telephone company's profit, we apply

P'(x) = R(x)' - C(x)' = 0

⇒ R(x)' = ((40−8x+5y)*x + (50+9x−7y)*y)' = (40x-8x²+14xy+50y-7y²)'

⇒ C(x)' = ((40−8x+5y)*10 + (50+9x−7y)*29)' = (1850+181x-153y)'

⇒ P'(x) = -8x²-7y²-141x+203y+14xy-1850

The first-order partial derivatives of these functions are

Px(x,y) = -16x-141+14y

Py(x,y) = -14y+203+14x

Setting these equal to zero and solving we obtain:

-16x+14y-141 = 0

14x-14y+203=0

we get the solution

x = 31     and       y = 91/2 = 45.5

Finally, the company should produce  3100  units of the first system, and  4550 units of the second system.

8 0
2 years ago
Lamark goes to a bowling alley to test his belief that rolling a bowling ball slowly will result in knocking down more pins. He
jolli1 [7]

Answer: Ball's kinetic energy became potential energy

Step-by-step explanation:

There are no options attached but this should be along the lines of what happened.

Kinetic energy refers to energy that an object has as a result of it moving whilst potential energy is the opposite and is energy that an object stores within itself due to several factors whilst it is not in motion.

The ball was initially in motion which means that it had kinetic energy but as the ball was slowing down, this energy was gradually converted to potential energy until the balls came to a standstill.

3 0
2 years ago
What is the solution to this system of equations? Y= 2x - 3.5 x - 2y = -14
goldfiish [28.3K]

Answer:

x=7

y=10.5


Step-by-step explanation:

1. You can apply the method of substitution, as you can see below:

- Substitute y=2x-3.5 into the other equation and solve fo x:

x-2(2x-3.5)=-14\\x-4x+7=-14\\x=7

- Substitute the value of x obtain into the first equation, then the value of y is:

y=2(7)-3.5\\y=10.5


6 0
2 years ago
Read 2 more answers
Match the following guess solutions ypyp for the method of undetermined coefficients with the second-order nonhomogeneous linear
Sunny_sXe [5.5K]

Answer:

Step-by-step explanation:

1 ) Given that

(d^2y/dx^2) + 4y = x - x^2 + 20\\\\ (d^2y/dx^2) + 4y =  - x^2 + x + 20

For a non homogeneous part - x^2 + x + 20 , we assume the particular solution is

y_p(x) = Ax^2 + Bx + C

2 ) Given that

d^2y/dx^2 + 6dy/dx + 8y = e^{2x}

For a non homogeneous part   e^{2x} , we assume the particular solution is

y_p(x) = Ae^{2x}

3 ) Given that

y′′ + 4y′ + 20y = −3sin(2x)

For a non homogeneous part −3sin(2x) , we assume the particular solution is

y_p(x) =  Acos(2x)+Bsin(2x)

4 ) Given that

y′′ − 2y′ − 15y = 3xcos(2x)

For a non homogeneous part  3xcos(2x)  , we assume the particular solution is

y_p(x) = (Ax+B)cos2x+(Cx+D)sin2x

4 0
2 years ago
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