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kari74 [83]
2 years ago
12

Jon has a $21.61 balance on a gift card that can be used to purchase online music. Each song download costs $1.29. Jon wants to

maintain a $10 balance to purchase a new album that releases next month. How many songs can Jon purchase?
Mathematics
1 answer:
s2008m [1.1K]2 years ago
5 0

Answer: Jon can purchase 9 songs.

Step-by-step explanation: $21.61 - $10.00 = $11.61

$1.29 · 9 = $11.61

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Find the volume of the largest rectangular box in the first octant with three faces in the coordinate planes and one vertex in t
Tresset [83]

Answer: The volume of largest rectangular box is 4.5 units.

Step-by-step explanation:

Since we have given that

Volume = xyz

with subject to x+2y+3z=9

So, let z=\dfrac{9-x-2y}{3}

So, Volume becomes,

V=xyz\\\\V=xy(\dfrac{9-x-2y}{3})\\\\V=\dfrac{9xy-x^2y-2xy^2}{3}

Partially derivative wrt x and y we get that

9-2x-2y=0\implies 2x+2y=9\\\\and\\\\9-x-4y=0\implies x+4y=9

By solving these two equations, we get that

x=3,y=\dfrac{3}{2}

So, z=\dfrac{9-x-2y}{3}=\dfrac{9-3-3}{3}=\dfrac{3}{3}=1

So, Volume of largest rectangular box would be

xyz=3\times \dfrac{3}{2}\times 1=\dfrac{9}{2}=4.5

Hence, the volume of largest rectangular box is 4.5 units.

4 0
3 years ago
What the answer plz help
ratelena [41]
20 = 40e^-0.1446t
e^-0.1446t = 0.5

t  = ln 0.5 / -0.1446
t =  4.8 days

4 0
3 years ago
If a ladder is 5.5 m long and it is placed 3 m from the wall, solve and show the work when you use the Pythagorean Theorem to fi
natali 33 [55]

Answer:

4.609 meters

Step-by-step explanation:

The hypotenuse is the ladder because it is the slanted side. 3m is one of the other side lengths

A^2 + B^2 = C^2

3^2 + B^2 = 5.5^2

9 + B^2 = 30.25

30.25 - 9= B^2

21.25= B^2

4.609=B

4 0
2 years ago
A 9 inch candle burns -2/3 inch per hour. How long will it take the candle to burn completely?
Luda [366]
Gbbdnn sbxrbrndmndnsmxnnnbbbd
5 0
2 years ago
Read 2 more answers
2.24 Exit poll: Edison Research gathered exit poll results from several sources for the Wisconsin recall election of Scott Walke
iVinArrow [24]

Answer:

0.4929 = 49.29% probability that he voted in favor of Scott Walker

Step-by-step explanation:

Bayes Theorem:

Two events, A and B.

P(B|A) = \frac{P(B)*P(A|B)}{P(A)}

In which P(B|A) is the probability of B happening when A has happened and P(A|B) is the probability of A happening when B has happened.

In this question:

Event A: Having a college degree.

Event B: Voting for Scott Walker.

They found that 57% of the respondents voted in favor of Scott Walker.

This means that P(B) = 0.57

Additionally, they estimated that of those who did vote in favor for Scott Walker, 33% had a college degree

This means that P(A|B) = 0.33

Probability of having a college degree.

33% of those who voted for Scott Walker(57%).

45% of those who voted against Scott Walker(100 - 57 = 43%). So

P(A) = 0.33*0.57 + 0.45*0.43 = 0.3816

What is the probability that he voted in favor of Scott Walker?

P(B|A) = \frac{0.57*0.33}{0.3816} = 0.4929

0.4929 = 49.29% probability that he voted in favor of Scott Walker

3 0
3 years ago
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