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Alex787 [66]
3 years ago
13

IF A SUBSCRIPTION IS $499 PLUS 8% TAX FOR 30 DAYS, BUT IS BEING PRORATED FOR 7 DAYS, PLUS THERE IS A $10 OFF COUPON, WHAT'S THE

FINAL COST?
Mathematics
2 answers:
Dima020 [189]3 years ago
8 0

Answer:

The final cost is $115.74.

Step-by-step explanation:

Total amount of 30 days with tax = 499+(0.08\times499) = 538.92 dollars

This value is for 30 days, and its prorated for 7 days, so value for 7 days is =

\frac{538.92}{30}\times7 = 125.74 dollars

And $10 is off, so final cost is 125.74-10=115.74 dollars

(Suppose the discount coupon is applied at the end of billing)

The final cost is $115.74.

natita [175]3 years ago
6 0

Answer:

$528.12

Step-by-step explanation:

499-10

489×1.08= 528.12

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A sequence of Bernoulli trials consists of choosing components at random from a batch of components. A selected component is eit
Drupady [299]

Answer:

a) 0.0287 = 2.87% probability that three non-defective components in a batch of seven components.

b) 0.0336 = 3.36% probability that 8 non-defective components are drawn before the first defective component is chosen.

Step-by-step explanation:

A sequence of Bernoulli trials composes the binomial distribution.

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.

The probability that a selected component is non-defective is 0.8

This means that p = 0.8

a) Three non-defective components in a batch of seven components.

This is P(X = 3) when n = 7. So

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

P(X = 3) = C_{7,3}.(0.8)^{3}.(0.2)^{4} = 0.0287

0.0287 = 2.87% probability that three non-defective components in a batch of seven components.

b) 8 non-defective components are drawn before the first defective component is chosen.

Now the order is important, so the we just multiply the probabilities.

8 non-defective, each with probability 0.8, and then a defective, with probability 0.2. So

p = (0.8)^8*0.2 = 0.0336

0.0336 = 3.36% probability that 8 non-defective components are drawn before the first defective component is chosen.

4 0
3 years ago
I need someone to help me with mý math homework please help!
Julli [10]
Which question do you need help with
7 0
3 years ago
Given that ABC~LMN<br> What is the length of AC?
sleet_krkn [62]

Answer:

B. 12

Step-by-step explanation:

✔️Find the value of x

The side lengths of two similar triangles are always proportional.

Given that ∆ABC ~ ∆LMN, therefore:

\frac{AB}{LM} = \frac{AC}{LN}

AB = 5

LM = 10

AC = x + 5

LN = 3x + 3

Plug in the values

\frac{5}{10} = \frac{x + 5}{3x + 3}

Cross multiply

5(3x + 3) = 10(x + 5)

15x + 15 = 10x + 50 (distributive property)

Collect like terms

15x - 10x = -15 + 50

5x = 35

Divide both sides by 5

x = 7

✔️Find AC

AC = x + 5

Plug in the value of x

AC = 7 + 5

AC = 12

6 0
3 years ago
Nola hiked down a trail at a steady rate for 10 minutes. Her change in elevation was -200 feet. Then she continued to hike down
DedPeter [7]

The <em><u>correct answer</u></em> is:

The faster rate is when she hiked down 200 feet in 10 minutes.

Explanation:

The rate of change is given by the change in y over the change in x; in this case, the change in elevation over the change in time.

For the first part of the hike, the change in elevation was -200 and the change in time was 10; this gives us a rate of change of -200/10 = -20.

For the second part of the hike, the change in elevation was -300 and the change in time was 20; this gives us a rate of change of -300/20 = -15.

She hiked downhill faster during the first part of the hike, at 20 feet per minute.

8 0
3 years ago
Please help! provide thorough explanation and use elimination method!!
ICE Princess25 [194]

Multiply both sides of the second equation by 100 to get rid of the decimals:

0.05<em>n</em> + 0.10<em>d</em> = 1.50

==>  5<em>n</em> + 10<em>d</em> = 150

Multiply both sides of the first equation by -5:

<em>n</em> + <em>d</em> = 21

==>  -5<em>n</em> - 5<em>d</em> = -105

Add the two equations together:

(5<em>n</em> + 10<em>d</em>) + (-5<em>n</em> - 5<em>d</em>) = 150 + (-105)

Notice that the terms containing <em>n</em> get eliminated and we can solve for <em>d</em> :

(5<em>n</em> - 5<em>n</em>) + (10<em>d</em> - 5<em>d</em>) = 150 - 105

5<em>d</em> = 45

<em>d</em> = 45/5 = 9

Plug this into either original equation to solve for <em>n</em>. Doing this with the first equation is easiest:

<em>n</em> + 9 = 21

<em>n</em> = 21 - 9 = 12

So Donna used 12 nickels and 9 dimes.

8 0
3 years ago
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