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SpyIntel [72]
4 years ago
5

the cost of a parking permit consists of a one time administration fee plus a monthly fee. a permit purchased for 12 months cost

s 660. a permit purchased for 15 months costs 810. what is the administration fee
Mathematics
2 answers:
Dafna1 [17]4 years ago
8 0
The administration fee is $60. To do this, you need to find the rate of increase, or cost per month. Start by subtracting 810 by 660, to find the change of cost in 3 months. This will give you a cost of $150 for 3 months. To find the monthly fee, divide by 3, and you will get $50 a month. Now, you can subtract the total of the monthly cost for 12 months, which is $600, from $660, to get the administration fee of $60.
Roman55 [17]4 years ago
6 0
The equations are 660=12x+a and 810=15x+a, where x is the monthly fee and a is the one time administration. You then must subtract both equations to get 150=3x. Then simplify to get 50=x. Now that you have the monthly rate, you plug it into either equation to get the administration fee.
660=12(50)+a
660=600+a
60=a
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Percentage:
masha68 [24]
20 percent
If you cross multiply 30 w/ 100 and then divide it by 150 you will get 20.
5 0
3 years ago
When they arrived in Philadelphia, Tyler’s family took a taxi to a museum. The taxi charged $2.70 per mile, and they paid the dr
shtirl [24]

Answer:

5 miles

Step-by-step explanation:

To find how many miles it is from the train station to the museum we first have to subtract the tip from the total fair and you get 13.50 and then you divide 13.50 by 2.70 to get the number of miles and you get 5.

3 0
3 years ago
Plot the points A(7,1), B(-2, 3), C(1, -7) on the coordinate axes below. State the
Tanzania [10]

      A             B

D              C

vectors

AB = DC

AB (-2-7 ; 3-1) => AB (-9 ; 2)

DC (1-x : -7-y)

1 - x = -9 => x = 10

-7-y = 2 => y = -9

D(10 ; -9)

4 0
3 years ago
Let L be the line parametrized by x = 2 + 2t, y = 3t, z = −1 − t. (a) Find a linear equation for the plane that is perpendicular
Elden [556K]

Answer:

Step-by-step explanation:

Given that L is a line parametrized by

x = 2 + 2t, y = 3t, z = −1 − t

The plane perpendicular to the line will have normal as this line and hence direction ratios of normal would be coefficient of t in x,y,z

i.e. (2,3,-1)

So equation of the plane would be of the form

2x+3y-z =K

Use the fact that the plane passes through (2,0,-1) and hence this point will satisfy this equation.

2(2)+3(0)-(-1) =K\\K =5

So equation is

2x+3y-z =5

b) Substitute general point of L in the plane to find the intersecting point

2(2+2t)+3t-(-1-t) =5\\4+8t+1=5\\8t=0\\t=0\\(x,y,z) = (2,0,-1)

i.e. same point given.

3 0
3 years ago
Suppose a basketball player has made 231 out of 361 free throws. If the player makes the next 2 free throws, I will pay you $31.
statuscvo [17]

Answer:

The expected value of the proposition is of -0.29.

Step-by-step explanation:

For each free throw, there are only two possible outcomes. Either the player will make it, or he will miss it. The probability of a player making a free throw is independent of any other free throw, which means that the binomial probability distribution is used to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

In which C_{n,x} is the number of different combinations of x objects from a set of n elements, given by the following formula.

C_{n,x} = \frac{n!}{x!(n-x)!}

And p is the probability of X happening.

Suppose a basketball player has made 231 out of 361 free throws.

This means that p = \frac{231}{361} = 0.6399

Probability of the player making the next 2 free throws:

This is P(X = 2) when n = 2. So

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

P(X = 2) = C_{2,2}.(0.6399)^{2}.(0.3601)^{0} = 0.4095

Find the expected value of the proposition:

0.4095 probability of you paying $31(losing $31), which is when the player makes the next 2 free throws.

1 - 0.4059 = 0.5905 probability of you being paid $21(earning $21), which is when the player does not make the next 2 free throws. So

E = -31*0.4095 + 21*0.5905 = -0.29

The expected value of the proposition is of -0.29.

3 0
3 years ago
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