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3 years ago

8

The marked price of a radio set is 450000. A discount of 5% of the marked price is allowed. What is the selling price of the rad

io

1 answer:

dybincka [34]3 years ago

6 0

Answer:

$427,500 dollars

Step-by-step explanation:

Given the following question:
Initial price = 450,000
5% discount

In order to find the answer, we simply find 5% of 450,000.

$\frac{5\times450000}{100} =5\times450000=2250000\div100=22500$
$450000-22500=427500$
$r=427500$

The radio (after a 5% discount) costs "$427,500 dollars."

Hope this helps.

You might be interested in

Number 8 only please

givi [52]

Answer:

Should be roughly 79.76% if I'm doing this right.

Step-by-step explanation:

Looking at the problem, you're given 3 things:

1) 6.8 million tonnes are recycled;

2) 6.8 million tonnes is 27% of the total household waste;

3) 20.1 million tonnes could be recycled.

Since they're asking for what percentage of <em>total</em> household waste could be recycled, you're looking at a multi-step cross multiplication problem.

It's not very difficult though, don't worry.

So I'm gonna start by telling you to just forget that the word "million" exists for the moment. You only need 6.8, 20.1, and 27%.

Setting up the first part of the problem requires you to convert 27% into a fraction. That's $\frac{27}{100}$ .

6.8 is 27% of some mysterious number that we need to figure out what percent of household waste could be recycled, so that'll be set up on the opposite side of the equal sign as the equivalent to 27.

So we're starting out with this: $\frac{6.8}{?} =\frac{27}{100}$

Since you're trying to initially find the total household waste, we're setting x as the variable to solve for.

$\frac{6.8}{x} =\frac{27}{100}$

Cross-multiplying** means you multiply the numerator of one side of the equal sign to the denominator of the other side of the equal sign, and vice versa (denominator of one side to numerator of other). So multiply 6.8 to 100, and 27 to x.

$680=27x$

Now that you have this, you have to isolate x. Divide both sides by 27 to do this.

$25.185185...=x$

I'm gonna round that for simplicity's sake, because 185 repeats.

$25.2=x$

So we have 25.2 million tonnes of total household waste. Great! Now we can find the <em>percentage </em>of household waste that could be recycled.

Since we have how much could be recycled and the total, we just need to solve for the percent this time. So this is what the set-up will look like:

$\frac{20.1}{25.2} =\frac{x}{100}$

x being the percent we're solving for.

Cross-multiply again:

$2010=25.2x$

Divide both sides by 25.2:

$79.761904761904...=x$

Then round for simplicity's sake:

$79.76=x$

And you get 79.76% of household waste could be recycled.

Hope this helped!

**Be careful with cross-multiplying when you get to higher level math though. Not every situation allows for cross-multiplying. In fact, you can only cross-multiply when there's an equal sign.

6 0

3 years ago

I need a Tutor and Help with this question

valkas [14]

Answer:

x=31

y=6

Step-by-step explanation:

2x+3y=80

x+y=37

solve by elimination:( multiply second equation by 2) to eliminate x

2x+3y=80

2x+2y=74

subtract the two equations:

2x+3y-(3x+2y)=80-74

2x+3y-3x-2y=6

y=6 (3 point basket)

substitute: x+y=37, x=37-6=31

x=31 (2 point shot)

4 0

3 years ago

Read 2 more answers

I am having trouble with this relative minimum of this equation.<br>

Norma-Jean [14]

Answer:

So the approximate relative minimum is (0.4,-58.5).

Step-by-step explanation:

Ok this is a calculus approach. You have to let me know if you want this done another way.

Here are some rules I'm going to use:

$(f+g)'=f'+g'$ (Sum rule)

$(cf)'=c(f)'$ (Constant multiple rule)

$(x^n)'=nx^{n-1}$ (Power rule)

$(c)'=0$ (Constant rule)

$(x)'=1$ (Slope of y=x is 1)

$y=4x^3+13x^2-12x-56$

$y'=(4x^3+13x^2-12x-56)'$

$y'=(4x^3)'+(13x^2)'-(12x)'-(56)'$

$y'=4(x^3)'+13(x^2)'-12(x)'-0$

$y'=4(3x^2)+13(2x^1)-12(1)$

$y'=12x^2+26x-12$

Now we set y' equal to 0 and solve for the critical numbers.

$12x^2+26x-12=0$

Divide both sides by 2:

$6x^2+13x-6=0$

Compaer $6x^2+13x-6=0$ to $ax^2+bx+c=0$ to determine the values for $a=6,b=13,c=-6$ .

$a=6$

$b=13$

$c=-6$

We are going to use the quadratic formula to solve for our critical numbers, x.

$x=\frac{-b \pm \sqrt{b^2-4ac}}{2a}$

$x=\frac{-13 \pm \sqrt{13^2-4(6)(-6)}}{2(6)}$

$x=\frac{-13 \pm \sqrt{169+144}}{12}$

$x=\frac{-13 \pm \sqrt{313}}{12}$

Let's separate the choices:

$x=\frac{-13+\sqrt{313}}{12} \text{ or } \frac{-13-\sqrt{313}}{12}$

Let's approximate both of these:

$x=0.3909838 \text{ or } -2.5576505$ .

This is a cubic function with leading coefficient 4 and 4 is positive so we know the left and right behavior of the function. The left hand side goes to negative infinity while the right hand side goes to positive infinity. So the maximum is going to occur at the earlier x while the minimum will occur at the later x.

The relative maximum is at approximately -2.5576505.

So the relative minimum is at approximate 0.3909838.

We could also verify this with more calculus of course.

Let's find the second derivative.

$f(x)=4x^3+13x^2-12x-56$

$f'(x)=12x^2+26x-12$

$f''(x)=24x+26$

So if f''(a) is positive then we have a minimum at x=a.

If f''(a) is negative then we have a maximum at x=a.

Rounding to nearest tenths here: x=-2.6 and x=.4

Let's see what f'' gives us at both of these x's.

$24(-2.6)+25$

$-37.5$

So we have a maximum at x=-2.6.

$24(.4)+25$

$9.6+25$

$34.6$

So we have a minimum at x=.4.

Now let's find the corresponding y-value for our relative minimum point since that would complete your question.

We are going to use the equation that relates x and y.

I'm going to use 0.3909838 instead of .4 just so we can be closer to the correct y value.

$y=4(0.3909838)^3+13(0.3909838)^2-12(0.3909838)-56$

I'm shoving this into a calculator:

$y=-58.4654411$

So the approximate relative minimum is (0.4,-58.5).

If you graph $y=4x^3+13x^2-12x-56$ you should see the graph taking a dip at this point.

3 0

3 years ago

What's 111111 - 3 + 34. Whoever gets it right, we will do brainliest for brainliest.

kakasveta [241]

What's 111111 - 3 + 34. Whoever gets it right, we will do brainliest for brainliest.

that would 111142

6 0

4 years ago

Read 2 more answers

Nicky bought 14.2 pounds of coffe for the coffee shop. The shop usually uses 5 times that amount of coffee during one week. How

Ede4ka [16]

The answer is 56.8
explaination:14.2 x4
56.8
he needs five units he already have 1 unit
so5 minus 4=one
so....
14.2x4=56.8//

5 0

3 years ago