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lbvjy [14]
3 years ago
7

Admission to a theme park is $12. Students receive a 10% discount. What is the amount of the discount? How much would a student

pay?
A.) $2.00; $10.00
B.) $1.20; $10.40
C.) $1.20; $10.80
D.) $1.20; $9.80
Mathematics
1 answer:
KATRIN_1 [288]3 years ago
3 0
The answer is C

10% = 0.10

12 x 0.10 = 1.20
12 - 1.20 = 10.80
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Answer:

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Fourth term: 5 1/2

Tenth term: 6 1/2

Step-by-step explanation:

Let's find the first, fourth and tenth terms of the arithmetic sequence described by the given rule:

A(n) = 5 + (n-1) (1/6)

First term:

A(1) = 5 + (1-1) (1/6)

A(1) = 5 + (0) (1/6)

A(1) = 5

Fourth term:

A(4) = 5 + (4-1) (1/6)

A(4) = 5 + (3) (1/6)

A(4) = 5 + 3/6 = 5 3/6 = 5 1/2 (simplifying)

Tenth term:

A(10) = 5 + (10-1) (1/6)

A(10) = 5 + (9) (1/6)

A (10) = 5 + 9/6 = 6 3/6 = 6 1/2 (simplifying)

5 0
3 years ago
A car rental agency rents 190 cars per day at a rate of 29 dollars per day. for each 1 dollar increase in the daily rate, 5 fewe
Leviafan [203]

The equation that we can create from this situation is:

i = (190 – 5 x) * (29 + x)

where i is the income and x is the increase in daily rate

Expanding the equation:

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i = -5x^2 + 45x + 5510

Taking the 1st derivative:

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Set to zero to get the maxima:

-10x + 45 = 0

x = 4.5

 

So the cars should be rented at:

29 + x = 33.5 dollars per day

 

The maximum income is:

i = (190 – 5*4.5) * (33.5)

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Answer:

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Step-by-step explanation:

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under a rotation about the origin of 180°

a point (x, y ) → (- x, - y )

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3 years ago
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