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djyliett [7]
3 years ago
14

The next model of a sports car will cost 5.2% less than the current model. The current model costs $41,000. How much will the pr

ice decrease in dollars? What will be the price of the next model?
Mathematics
1 answer:
Ivanshal [37]3 years ago
3 0

The price will decrease by $2132

<u>Step-by-step explanation</u>

Given that the next model of the sports car will cost 5.2% less than the current model.

The price of the current model=$41000

The price of the next model will be 5.2% less than $41000

price\ of\ next\ model=price\ of \ current \ model \times(100-5.2)/100\\=41000\times 94.8/100\\=38868

decrease in price=41000-38868=2132

There is a $2132 decrease in prize of the sports car.

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Stan's Sweater Superstore has a 30% off sale. This week only, everything in the store is marked down an additional 10% off the s
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Answer:

$30

Step-by-step explanation:

30 % + 10 % = 40 %

40 % of $50 = $20

%50 - $20 = $30

8 0
3 years ago
A triangle has the side lengths of 12, 34, 45. Is it a right triangle?
deff fn [24]

Answer:

no

Step-by-step explanation:

a^2+b^2=c^2?

12^2+34^2=45^2?

1300≠2025

5 0
3 years ago
SOMEONE PELASE HELP ME ASAP! I REALLY NEED HELP ASAP
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Answer: below in picture

explanation: also in picture

6 0
3 years ago
Solve a) 2(x+3)=x-4 b) 4(5x-2)=2(9x+3)
Nat2105 [25]

Answer:

a) -10 b) 7

Step-by-step explanation:

a) 2(x+ 3) = x - 4

2x + 6 = x - 4

2x - x = -6 - 4

x = -10

b) 4(5x - 2) = 2(9x + 3)

20x - 8 = 18x + 6

20x - 18x = 6 + 8

2x = 14

x = 14/2

x = 7

5 0
3 years ago
Read 2 more answers
A certain disease occurs most frequently among older women. Of all age groups, women in their 60s have the highest rate of breas
Law Incorporation [45]

Answer:

The probability that a woman in her 60s has breast cancer given that she gets a positive mammogram is 0.0276.

Step-by-step explanation:

Let a set be events that have occurred be denoted as:

S = {A₁, A₂, A₃,..., Aₙ}

The Bayes' theorem states that the conditional probability of an event, say <em>A</em>ₙ given that another event, say <em>X</em> has already occurred is given by:

P(A_{n}|X)=\frac{P(X|A_{n})P(A_{n})}{\sum\limits^{n}_{i=1}{P(X|A_{i})P(A_{i})}}

The disease Breast cancer is being studied among women of age 60s.

Denote the events as follows:

<em>B</em> = a women in their 60s has breast cancer

+ = the mammograms detects the breast cancer

The information provided is:

P(B) = 0.0312\\P(+|B)=0.81\\P(+|B^{c})=0.92

Compute the value of P (B|+) using the Bayes' theorem as follows:

P(B|+)=\frac{P(+|B)P(B)}{P(+|B)P(B)+P(+|B^{c})P(B^{c})}

            =\frac{(0.81\times 0.0312)}{(0.81\times 0.0312)+(0.92\times (1-0.0312)}\\

            =\frac{0.025272}{0.025272+0.891296}

            =0.02757\\\approx0.0276

Thus, the probability that a woman in her 60s has breast cancer given that she gets a positive mammogram is 0.0276.

4 0
3 years ago
Read 2 more answers
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