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zhannawk [14.2K]
3 years ago
6

The Music Express is going to buy music bundles from a company that is going out of business. The company charges different amou

nts for bundles of pop and rock music:
Cost for each pop music bundle is $1200
Cost for each rock music bundle is $950
One - time fee for rights to the pop music is $300
One - time fee for rights to the rock music is $250.
Write an equation that represents the total cost for pop music bundles. Write another equations to represent the total cost for rock music bundles. Identify the variables in the equations.
Mathematics
2 answers:
Aneli [31]3 years ago
8 0

Answer:

Pop equation:1200C + 300 = D

Rock equation:950A + 250 = B

Step-by-step explanation:

coldgirl [10]3 years ago
5 0

Answer:

Rock bundles:

950R+250

pop bundles:

1200P+300

Step-by-step explanation:

R=amount of rock bundles

P=amount of pop bundles

Rock bundles:

950R+250

pop bundles:

1200P+300

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Fred Salmon purchased six $1,000 bonds at 92. The bonds pay 6.5%. What was the cost of the bonds? What was the total annual inte
Hunter-Best [27]
What is the cost of the bond?
When you see that a bond was purchased "at 92", this means that the bond was purchased for 92% of the face value. Sometimes the bond purchaser will pay more than the face value (purchased a number greater than 100), generally if the interest rate is higher than the market rate. 

The cost of one bond, then, is 92% of 1,000, or $920.
Since there are 6 bonds, the total cost is 920 x 6 = $5520

What is the total annual interest?
The annual interest is the interest rate on the bond times the face value (not the cost of the bond).
The interest rate is 6.5%, so the annual interest on one bond is:
6.5% x 1000 = $65
6 bonds: $65 x 6 = $390

When we think of yield, we want to consider the real return on the bond. This is the annual interest earned divided by what the purchaser paid for it.
The purchaser paid $5520 for the bonds, and is earning $390.
390 ÷ 5520 = 7.06%.
Note that we can also calculate the return on one bond, rather than the total cost and interest of 6 bonds, and get the same result.
65 ÷ 920 = 7.06%
4 0
3 years ago
Read 2 more answers
Mrs. Summers polled the students in her 7th and 8th grade classes to determine the number of pets each student has at home. The
Burka [1]

Answer:

There are 32 kids in Mrs. Summers's class. The percentage is 5.30% of kids have one pet. 6 kids have one pet in Mrs. Summer's class.  

                                          I hope this helps :)

Step-by-step explanation:  There are 32 students in the 7th grade/Number of pets

Step-by-step explanation:

Just count all of the x's

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3 years ago
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Factored form of 2x*2+13x+20
cricket20 [7]

Answer:

(2x+5)(x+4)

Step-by-step explanation:

After factoring we can find that it equals

(2x+5)(x+4)

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1.
GREYUIT [131]

Answer:

Step-by-step explanation:

1.

James goes to an arcade.

He has one go on the Teddy Grabber.

He has one go on the Penny Drop.

The probability that he wins on the Teddy Grabber is 0.2.

The probability that he wins on the Penny Drop is 0.3.

(a) Complete the tree diagram.

Teddy Grabber

Penny Drop

Win

0.3

Win

0.2

Lose

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Lose

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3 years ago
A vector is in standard position, with its terminal point in the second quadrant and an x-coordinate of –5. The vector has a mag
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a.

The y-coordinate of the vector with its terminal point in the second quadrant is 6.

The magnitude of the vector, r = √(x² + y²) where x = x-coorcinate of vector = -5 and y = y-coordinate of vector.

Since r = √61 and r = √(x² + y²)

Making y subject of the formula, we have

y = √(r² - x²)  

Substituting the values of the variables into the equation, we have

y = √((√61)² - (-5)²)  

y = √(61 - 25)  

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Since r is in the second quadrant, its y-coordinate is positive.

So, y = 6

So, the y-coordinate of the vector with its terminal point in the second quadrant is 6.

b.

The direction angle of the vector with its terminal point in the second quadrant is 130°

The direction angle of the vector is gotten from tanФ = y/x

Subsstituting x and y into the equation, we have

tanФ = y/x

tanФ = 6/-5

tanФ = -1.2

tan(180° - Ф) = 1.2

Taking inverse tan of both sides, we have

180° - Ф = tan⁻¹(1.2)

180° - Ф = 50.2°

Ф = 180° - 50.2°

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The direction angle of the vector with its terminal point in the second quadrant is 130°.

Learn more about vectors here:

brainly.com/question/18478651

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