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3 years ago

6

Daphne wants to buy a coat that costs $80. The store has a sales tax of 6.5%. How much tax will Daphne be charged if she buys th

e coat?

1 answer:

enot [183]3 years ago

6 0

Answer:

$85.2

Step-by-step explanation:

You might be interested in

In a certain assembly plant, three machines B1, B2, and B3, make 30%, 20%, and 50%, respectively. It is known from past experien

diamong [38]

Answer:

The probability that a randomly selected non-defective product is produced by machine B1 is 11.38%.

Step-by-step explanation:

Using Bayes' Theorem

P(A|B) = $\frac{P(B|A)P(A)}{P(B)} = \frac{P(B|A)P(A)}{P(B|A)P(A) + P(B|a)P(a)}$

where

P(B|A) is probability of event B given event A

P(B|a) is probability of event B not given event A

and P(A), P(B), and P(a) are the probabilities of events A,B, and event A not happening respectively.

For this problem,

Let P(B1) = Probability of machine B1 = 0.3

P(B2) = Probability of machine B2 = 0.2

P(B3) = Probability of machine B3 = 0.5

Let P(D) = Probability of a defective product

P(N) = Probability of a Non-defective product

P(D|B1) be probability of a defective product produced by machine 1 = 0.3 x 0.01 = 0.003

P(D|B2) be probability of a defective product produced by machine 2 = 0.2 x 0.03 = 0.006

P(D|B3) be probability of a defective product produced by machine 3 = 0.5 x 0.02 = 0.010

Likewise,

P(N|B1) be probability of a non-defective product produced by machine 1 = 1 - P(D|B1) = 1 - 0.003 = 0.997

P(N|B2) be probability of a non-defective product produced by machine 2 = 1 - P(D|B2) = 1 - 0.006 = 0.994

P(N|B3) be probability of a non-defective product produced by machine 3 = 1 - P(D|B3) = 1 - 0.010 = 0.990

For the probability of a finished product produced by machine B1 given it's non-defective; represented by P(B1|N)

P(B1|N) = $\frac{P(N|B1)P(B1)}{P(N|B1)P(B1) + P(N|B2)P(B2) + (P(N|B3)P(B3)}$ = $\frac{(0.297)(0.3)}{(0.297)(0.3) + (0.994)(0.2) + (0.990)(0.5)}$ = 0.1138

Hence the probability that a non-defective product is produced by machine B1 is 11.38%.

4 0

3 years ago

Sean read 15 of a book in 112 hours.

makvit [3.9K]

Sean read 15 of a book in = 112 hours,
so, 1 of a book in = 112/15

Now, 12 of a book would be: 112/15 * 12 = 112/5 * 4 = 89.6

89.6 = 89 6/10 = 89 3/5

In short, Your Answer would be 89 3/5 hours

Hope this helps!

8 0

3 years ago

If the hypotenus is 41 inches, and one of the legs is 40 inches what is the length of the other Leg

andre [41]

You find the answer through the Pythagorean theorem

a^2 + b^2 = c^2 a & b are the legs and c is the hypotenuse
a = 40
b = ?
c = 41

40^2 + b^2 = 41^2
1600 + b^2 = 1681
b^2 = 1681 - 1600
b^2 = 81
b = 9

the length of the other leg is 9

i hope you found this helpful!

7 0

2 years ago

PLEASE HELP!!! WILL GIVE BRAIN!!!What has to be true if you want to solve a quadratic?

asambeis [7]

Answer:

Step-by-step explanation:

you have to have a quadratic equation, not sure what your question is,

6 0

2 years ago

Consider a home mortgage of $250,000 at a fixed APR of 4.5% for 30 years. a. Calculate the monthly payment. b. Determine the t

lianna [129]

Answer:

a. payment: $1266.71

b. total paid: $456, 015.60

c. fraction to principal: 54.8%; fraction to interest: 45.2%

Step-by-step explanation:

<h3>a.</h3>

The amortization formula tells you the monthly payment is ...

A = P(r/12)/(1 -(1 +r/12)^(-12t))

Payment on principal P at annual rate r for t years.

A = $250,000(0.045/12)/(1 -(1 +0.045/12)^(-12·30)) ≈ $1266.71

The monthly payment is $1266.71.

__

<h3>b.</h3>

360 monthly payments of $1266.71 will have a total value of ...

360 × $1266.71 = $456,015.60 . . . . total amount paid

__

<h3>c.</h3>

Of course, $250,000 is paid on the principal. That percentage is ...

$250,000/$456,015.60 × 100% ≈ 54.8% . . . to principal

The remaining fraction is paid for interest:

100% -54.8% = 45.2% . . . to interest

8 0

2 years ago