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1 year ago

What was the original price of the car? MUST SHOW ALL STEPS OF THE PROCESS.

Mathematics

2 answers:

Alex Ar [27]1 year ago

8 0

Answer:

19219.48

Step-by-step explanation:

16540x0.162+16540

Bogdan [553]1 year ago

3 0

The original price would be 100%

It was marked down 16.2%

100 % - 16.2% = 83.8%

The price you paid was 83.8% of the original price.

To find the original price divide the amount you paid by the percentage of the original price:

16,540 / 0.838 = 19.737.47

Original price: $19,737.47

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The Rotation is a 60° rotation about O, the center of the regular hexagon. State the image of B for the following rotation. R2-R

Luda [366]

Answer: B. I got it correct on my assignment.

5 0

1 year ago

Jorge and Mary are both filling cups with fruit punch in preparation for a party. After 3 minutes, Jorge had 53 cups left to be

makkiz [27]

Answer:

Mary is filling 36 cups per minute, which is faster than Jorge.

Step-by-step explanation:

Lets get Jorge's time :

As the rate is constant, we can find the slope to know the number of cups he is filling per minute.

Slope is found using: $\frac{y2-y1}{x2-x1}$

= $\frac{53-25}{5-3}$

= $\frac{28}{2}=14$

From the table lets get Mary's time:

$\frac{99-81}{1-0.5}$

= $\frac{18}{0.5}=36$

Another data: $\frac{63-45}{2-1.5}$

= $\frac{18}{0.5}=36$

Therefore, we can see that Mary is filling 36 cups in a minute and Jorge is filling 14 cups.

Hence, the correct answer is : Mary is filling 36 cups per minute, which is faster than Jorge.

7 0

2 years ago

Read 2 more answers

Without actually calculating the logarithm, determine what two integers the value of log(1.37×109) falls between.

jok3333 [9.3K]

First we need to find out what kind of logarithm rule is given, the given is logarithm product rule which states that a log of a product is equal to the sum of the log of the first base and the log of the second base.

By:

= log (1.37 x 10⁹) = log (1.37) + log (10⁹)

= log (1.37) + 9

= 9 + log (1.37)

In the meantime, 1.37 is between 1 and 10 its logarithm will be between 0 and 1. Thus, the value of log (1.37 x 10⁹) falls between 9 and 10 because when you compose a scientific notation you will always have a number among 1 and 10 by 10 to some power. That power tells you the integer part of the logarithm.

6 0

2 years ago

A quality control engineer tests the quality of produced computers. suppose that 5% of computers have defects, and defects occur

11111nata11111 [884]

(a) 0.059582148 probability of exactly 3 defective out of 20

(b) 0.98598125 probability that at least 5 need to be tested to find 2 defective.

(a) For exactly 3 defective computers, we need to find the calculate the probability of 3 defective computers with 17 good computers, and then multiply by the number of ways we could arrange those computers. So

0.05^3 * (1 - 0.05)^(20-3) * 20! / (3!(20-3)!)

= 0.05^3 * 0.95^17 * 20! / (3!17!)

= 0.05^3 * 0.95^17 * 20*19*18*17! / (3!17!)

= 0.05^3 * 0.95^17 * 20*19*18 / (1*2*3)

= 0.05^3 * 0.95^17 * 20*19*(2*3*3) / (2*3)

= 0.05^3 * 0.95^17 * 20*19*3

= 0.000125* 0.418120335 * 1140

= 0.059582148

(b) For this problem, let's recast the problem into "What's the probability of having only 0 or 1 defective computers out of 4?" After all, if at most 1 defective computers have been found, then a fifth computer would need to be tested in order to attempt to find another defective computer. So the probability of getting 0 defective computers out of 4 is (1-0.05)^4 = 0.95^4 = 0.81450625.

The probability of getting exactly 1 defective computer out of 4 is 0.05*(1-0.05)^3*4!/(1!(4-1)!)

= 0.05*0.95^3*24/(1!3!)

= 0.05*0.857375*24/6

= 0.171475

So the probability of getting only 0 or 1 defective computers out of the 1st 4 is 0.81450625 + 0.171475 = 0.98598125 which is also the probability that at least 5 computers need to be tested.

3 0

2 years ago

At a particular restaurant, each onion ring has 45 calories and each slider has 325 calories. A combination meal with onion ring

AlladinOne [14]

Answer:

There were 6 onion rings and 2 slider in the combination meal.

Step-by-step explanation:

Let x be the number of onion rings and y be the number of slider.

Calories in one onion ring = 45 calories

Calories in one slider = 325 calories

Total number of calories = 920

Thus, we can write the equation:

$45x + 325y = 920$

There are 3 times as many onion rings as the sliders.

Thus, we can write the equation:

$x = 3y$

Solving the two equation by substitution method, we get,

$45(3y) + 325y = 920\\460y = 920\\y = 2\\x = 3y = 3(2) = 6$

Thus, there were 6 onion rings and 2 slider in the combination meal.

7 0

2 years ago