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3 years ago

A sweater is on sale for 30% off the ticketed price of $84. How much will the sweater cost after the discount?

1 answer:

3 0

84 x .70 = $58.80

Or if you want to do it the long way you can calculate the actual discount (your savings from this purchase first then subtract it from the original price of $84. It`s just easier to figure out what is left (which is 70% of $84).

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The gardener comes four times each month. Each month, Katrina writes a check, and $85.40 is deducted from her bank balance to pa

Veronika [31]

4 days earning = $85.40

so, 1 day earning will be = $85.40/4 = $21.35

Now, 11 days earning would be: $21.35 * 11 = $234.85

OPTION C IS YOUR ANSWER.

5 0

3 years ago

Read 2 more answers

Evaluate the given integral by changing to polar coordinates. sin(x2 y2) dA R , where R is the region in the first quadrant betw

alexira [117]

Answer:

I = 1.47001

Step-by-step explanation:

we have the function

$f(x,y)=sin(x^2y^2)\\$

In polar coordinates we have

$x=rcos\theta\\y=rsin\theta$

and dA is given by

$dA=rdrd\theta$

Hence, the integral that we have to solve is

$I=\int \limt_2^4 \int \limit_0^{\pi /2}sin(r^4cos^2\theta sin^2\theta)rdrd\theta$

This integral can be solved in a convenient program of your choice (it is very difficult to solve in an analytical way, I use Wolfram Alpha on line)

I = 1.47001

Hope this helps!!!

7 0

3 years ago

What are the zeros of the polynomial function?

Genrish500 [490]

Hello from MrBillDoesMath!

Answer:

x = 2 and 10

Discussion:

Approach 1:

20 = (-10)*(-2) and (-10) + (-2) = -12 the coefficients of the polynomial. Hence

x^2 -12x + 20 = ( x- 2) * ( x-10)

Approach 2:

From the quadratic formula ( a = 1, b = -12, c = 20)

x = ( -(-12) +\- sqrt( ((-12)^2 - 4*1*20) ) / (2 * 1)

= ( 12 +\- sqrt( 144-80) ) /2

= (12 +\- sqrt(64) ) /2

= (12 +\- 8 ) /2

x = ( 12 + 8) /2 = 20/2 = 10

x = ( 12 - 8)/ 2 = 4/2 = 2

Thank you,

MrB

5 0

3 years ago

Read 2 more answers

Y=5/2x -4 how to graph it

Igoryamba

Looking at y=-%285%2F2%29x we can see that the equation is in slope-intercept form y=mx%2Bb where the slope is m=-5%2F2 and the y-intercept is b=0 note: y=-%285%2F2%29x really looks like y=-%285%2F2%29x%2B0

Since b=0 this tells us that the y-intercept is .Remember the y-intercept is the point where the graph intersects with the y-axis

So we have one point

Now since the slope is comprised of the "rise" over the "run" this means

slope=rise%2Frun

Also, because the slope is -5%2F2, this means:

rise%2Frun=-5%2F2

which shows us that the rise is -5 and the run is 2. This means that to go from point to point, we can go down 5 and over 2

So starting at , go down 5 units

and to the right 2 units to get to the next point

Now draw a line through these points to graph y=-%285%2F2%29x

So this is the graph of y=-%285%2F2%29x through the points

Hope this helps

Please give me Brainliest

8 0

3 years ago

X and Y are loss random variables, with X discrete and Y continuous. The joint density function of X and Y is f(x, y) = [(x+1)e-

STALIN [3.7K]

Answer:

The probability that the total loss, X + Y is less than 2 is P=0.235

Step-by-step explanation:

We know the joint density function:

$f(x,y)=\frac{(x+1)e^{-y/2}}{12}$

To find the probability that (X+Y)<2, we can divide this in two steps.

- When X=0, Y should be less than 2. This is P(X=0,Y<2).

- When X=1, Y should be less than 1. This is P(X=1, Y<1).

We can calculate P(X=0,Y<2) as:

$P(X=0,Y$

We can calculate P(X=1,Y<1) as:

$P(X=1,Y$

Then

$P(X+Y$

3 0

3 years ago