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MA_775_DIABLO [31]
3 years ago
5

A car dealership is having a sale in which customers pay 85% of the retail price for a new vehicle. keith is buying a vehicle wi

th a retail price of $36,000. he negotiates to get 9% off the sale price. how much does keith pay for the vehicle before tax?
Mathematics
1 answer:
mash [69]3 years ago
4 0
First, we calculated the discounted price which would have been paid by Keith. That is the product of 85% and $36,000.
                                      ($36,000) x (85%) = $30,600
Then, after negotiating to pay 9% off the sale price, he will only need to pay 91% of the sale price. The new price would be,
                              ($30600) x (0.91) = $27846
Thus, Keith will only need to pay $27,846. 
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shtirl [24]

Answer:

70 m

Step-by-step explanation:

AB makes a 30-60-90 triangle with the wall.

AC makes a 45-45-90 triangle with the wall.

In a 30-60-90 triangle, the short leg (opposite of the 30° angle) is half the hypotenuse.

In a 45-45-90 triangle, the legs are the same length.

So the distance between the left wall and the laser is 60/2 = 30 m.

The distance between the right wall and the laser is 40 m.

The total distance is therefore 70 m.

6 0
2 years ago
Kwasi has earned $60 in babysitting money. He spends 40% of this money buying drinks for himself and two friends at Starbucks. H
mart [117]

Answer: Yes

Step-by-step explanation:

Given

Kwasi earned \$60 in babysitting

He spends 40% of the money in buying drinks

Money spend is given by

\Rightarrow 60\times 40\%\\\Rightarrow \$24\\\text{Remaining amount is}\\\Rightarrow 60-24=\$36

So, Kwasi has enough money left to buy a skateboard.

3 0
2 years ago
Evaluate x² + 4x + 1 when x = -3
Masteriza [31]
Substitute -3 to x

(-3)^2 + 4(-3) + 1

9 - 12 + 1

= -2
3 0
2 years ago
Read 2 more answers
The number of messages arriving at a multiplexer is a Poisson random variable with mean 15 messages/second. Use the central limi
Mila [183]

Answer:

0.048 is the probability that more than 950 message arrive in one minute.

Step-by-step explanation:

We are given the following information in the question:

The number of messages arriving at a multiplexer is a Poisson random variable with mean 15 messages/second.

Let X be the number of messages arriving at a multiplexer.

Mean = 15

For poison distribution,

Mean = Variance = 15

\text{Standard Deviation} = \sqrt{\text{Variance}} = \sqrt{15} = 3.872

From central limit theorem, we have:

z = \displaystyle\frac{x-n\mu}{\sigma\sqrt{n}}

where n is the sample size.

Here, n = 1 minute = 60 seconds

P(x > 950)

P( x > 950) = P( z > \displaystyle\frac{950 - (60)(15)}{\sqrt{(15)(60)}}) = P(z > 1.667)

= 1 - P(z \leq 1.667)

Calculation the value from standard normal z table, we have,  

P(x > 950) = 1 - 0.952 = 0.048

0.048 is the probability that more than 950 message arrive in one minute.

3 0
3 years ago
I need to show my work, could anyone help? (need by tonight 3/10/20
marishachu [46]

Answer:

14 gallons....$42

Step-by-step explanation:

The car requires one gallon every 32 miles...

The car requires c gallons for 448 miles

c = 448 × 1 / 32

= 14 gallons..

One gallon = $3

Fourteen gallons = ??

14 × 3 / 1 = $42

3 0
3 years ago
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