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3 years ago

Stereo has a list price of $150 but is on sale for 20% off the list price what is the sale price of the stereo???

Mathematics

2 answers:

8_murik_8 [283]3 years ago

3 0

Answer:

The correct answer is option A.120

Step-by-step explanation:

Let's start by analyzing the information they have given us.

We know that the stereo has a list price of $ 150, but at the time of payment, we are told that it has a 20% discount.

Now we must find out what the discount was applied to know the final price of the stereo.

One way to calculate the percentage would be multiplying 150 by 0.20

150.0.20 = 30

The discount applied is $ 30, so now we just have to subtract that amount from the original price:

150-30 = 120

Therefore, the correct answer is option A.

BARSIC [14]3 years ago

3 0

A: 120 Dollars. 20% is the same as 1/5. And 1/5 of 150 is 30. When there is 20% ($30) off the sale price, we are left with 120!

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What 30000.48978 rounded up

Fudgin [204]

Answer:

Rounded to the nearest ones: 30000

Rounded to the nearest tenths: 30000.5

Rounded to the nearest hundredths: 30000.49

Rounded to the nearest thousandths: 30000.490

Rounded to the nearest ten-thousandths: 30000.4898

7 0

2 years ago

Find the point (,) on the curve =8 that is closest to the point (3,0). [To do this, first find the distance function between (,)

ELEN [110]

Question:

Find the point (,) on the curve $y = \sqrt x$ that is closest to the point (3,0).

[To do this, first find the distance function between (,) and (3,0) and minimize it.]

Answer:

$(x,y) = (\frac{5}{2},\frac{\sqrt{10}}{2}})$

Step-by-step explanation:

$y = \sqrt x$ can be represented as: $(x,y)$

Substitute $\sqrt x$ for $y$

$(x,y) = (x,\sqrt x)$

So, next:

Calculate the distance between $(x,\sqrt x)$ and $(3,0)$

Distance is calculated as:

$d = \sqrt{(x_1-x_2)^2 + (y_1 - y_2)^2}$

So:

$d = \sqrt{(x-3)^2 + (\sqrt x - 0)^2}$

$d = \sqrt{(x-3)^2 + (\sqrt x)^2}$

Evaluate all exponents

$d = \sqrt{x^2 - 6x +9 + x}$

Rewrite as:

$d = \sqrt{x^2 + x- 6x +9 }$

$d = \sqrt{x^2 - 5x +9 }$

Differentiate using chain rule:

Let

$u = x^2 - 5x +9$

$\frac{du}{dx} = 2x - 5$

So:

$d = \sqrt u$

$d = u^\frac{1}{2}$

$\frac{dd}{du} = \frac{1}{2}u^{-\frac{1}{2}}$

Chain Rule:

$d' = \frac{du}{dx} * \frac{dd}{du}$

$d' = (2x-5) * \frac{1}{2}u^{-\frac{1}{2}}$

$d' = (2x - 5) * \frac{1}{2u^{\frac{1}{2}}}$

$d' = \frac{2x - 5}{2\sqrt u}$

Substitute: $u = x^2 - 5x +9$

$d' = \frac{2x - 5}{2\sqrt{x^2 - 5x + 9}}$

Next, is to minimize (by equating d' to 0)

$\frac{2x - 5}{2\sqrt{x^2 - 5x + 9}} = 0$

Cross Multiply

$2x - 5 = 0$

Solve for x

$2x =5$

$x = \frac{5}{2}$

Substitute $x = \frac{5}{2}$ in $y = \sqrt x$

$y = \sqrt{\frac{5}{2}}$

Split

$y = \frac{\sqrt 5}{\sqrt 2}$

Rationalize

$y = \frac{\sqrt 5}{\sqrt 2} * \frac{\sqrt 2}{\sqrt 2}$

$y = \frac{\sqrt {10}}{\sqrt 4}$

$y = \frac{\sqrt {10}}{2}$

Hence:

$(x,y) = (\frac{5}{2},\frac{\sqrt{10}}{2}})$

3 0

3 years ago

A microscope can magnify the object it is looking at 10×4 times. How many times is that? (MCC.8.EE.3) A. 40,000 times B. 40 time

damaskus [11]

Answer:

10×4 = 40

10^4 = 10,000

Step-by-step explanation:

10^4 is another way to write 10⁴ = 10·10·10·10 = 10,000.

Essentially, the exponent tells you how many places to the right of the leading digit the decimal point lies (here, the number of zeros in the number).

_____

<em>Comment on the answer choice</em>

The appropriate answer depends on what you mean by your problem statement. Some microscopes magnify 40 times; others magnify 10,000 times, so we cannot tell the appropriate answer using our knowledge of microscopes.

3 0

3 years ago

A number pattern starts with 10 and follows the rule multiply by 3 What is true

lesya692 [45]

Answer:

B) They have a 0 in the ones place.

Step-by-step explanation:

Given

Number pattern that starts with 10.

Rule: Multiply by 3

Required

Select which statement is truth of the pattern.

First, the pattern needs to be listed out.

Given that the pattern starts from 10 and progresses by multiplying current term by 3.

The pattern is as follows;

10, 30, 90, 270, 810, 2430, 7290, .....

By comparing the given options with the above pattern of numbers. We have:

A) They are odd numbers.

This statement is false because the above pattern of numbers are all even and can never be odd

B) They have a 0 in the ones place.

This statement is truth because all the numbers in the above progression ends in 0. This 0 represents the unit of one's place.

Hence, this statement is truth.

C) They have a 3 in the tens place.

This statement is false;

This is so because they have different digits at tens place. The tens place is the digit prior to the last digit of each number.

D) They can be odd or ever numbers.

As pointed out in (A) above, the number can only be even number because the progression starts with an even number (10) and irrespective of what it's been multiplied by, it'll always remain an even number.

Hence,

Only option B is correct/truth.

Others are incorrect

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3 years ago

How much lower is Checkpoint 4 -186 than Checkpoint 5 2,888?

irina1246 [14]

Answer: 2702

Step-by-step explanation:

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3 years ago