What is the index of the radical below?

An $42 item was marked down by 50% what is the new cost of the item?

Nataly_w [17]

Answer:

New Cost of item is $\$ 21$

Step-by-step explanation:

Given:

Original Cost of item = $\$ 42$

Item was marked down by $50\%$

To Calculate Cost after $50\%$ marked down we need to multiply original cost by 50 and then divide by hundred.

Cost after marked down = $\frac{42 \times 50}{100}= \$21$

Now New cost of the item is calculated by Subtracting Cost after $50\%$ marked down by Original Cost of item.

New cost of the item = $\$ 42 - \$ 21 = \$21$

7 0

3 years ago

How many 2-letter words can be made from the letters MATH if

gtnhenbr [62]

Answer:

ham

tam

mat

hat

at

ha

am

ma

Step-by-step explanation:

7 0

3 years ago

I dentist the slope and a point on the line

Anika [276]

Answer:

2/3 (0,-3) is one possible answer.

Step-by-step explanation:

y -1 = 2/3(x-6) We want to get this into the slope intercept form of a line. We want it to be in the form y = mx + b. Let's clear the fraction first by multiplying the whole equation through by 3.

3(y - 1) = 3[2/3(x - 6)]

3y -3 = 2(x -6)

3y - 3 = 2x -12

3y = 2x - 9 Now divide all the way through by 3 to get

y = 2/3x - 3

y = mx + b. The m part is the slope. In this equation the slope is 2/3

There are in infinite amount of points on a line. I do not know if they give you a picture or if you are just to create your own. I am going to create a point that have x = 0. I get to pick the point. I could pick any number. 0 is just usually really easy. So, if I substitute 0 for x I will get:

y = 2/3(0) - 3

y = 1 so my point is (0,-3)

Now that I think about it, I do not think that I would start out clearing the fraction even though it works. I think that I would do it like this"

y - 1 = 2/3(x - 6) Distribute the 2/3 through (x - 4) to get

y-1 = 2/3x -4 I can make -6 a fraction by putting it over 1. Now we have 2/3(-6/1) multiply across to get -12/3. A positive times a negative is a negative. -12 divided by 3 is -4.

y - 1 = 2/3x -4 now add 1 to both sides.

y = 2/3x -3

6 0

1 year ago

Data from the Centers for Medicare and Medicaid Services indicates that the annual per capita out-of-pocket expenses for health

Talja [164]

Answer:

During the year 2021.

Step-by-step explanation:

As we have a function that defines the annual per capita out-of-pocket expenses for health care, we can work with it.

Knowing that, we clear x (this is the number of years past the year 2000, so it will contain our desired information).

$y=39.6x+543\Leftrightarrow x=\frac{y-543}{39.6}$

Now, as we want to know when are the per capita out-of-pocket expenses for health care predicted to be $1400, and this total is our variable y, then

$x=\frac{1400-543}{39.6}\approx 21.6$

Finally, we know that x is the number of years past the year 2000, so the answer is that during the year 2021, the per capita out-of-pocket expenses for health care are predicted to be $1400.

3 0

3 years ago

Over what interval is the growth rate of the function decreasing?

aleksklad [387]

I think the rate is decreasing from:
(-infinity, ln9/3)

6 0

3 years ago