Ask question

Ask question

All categories

1 year ago

6

A store purchased a digital camera and marked it up 100% from the original cost of $863.57. A week later, the store placed the d

igital camera on sale for 40% off. What was the discount price?

1 answer:

Citrus2011 [14]1 year ago

5 0

Answer:

1,036.28

Step-by-step explanation:

You might be interested in

Pudge has three times as many apples as Ace, and Ace has twice as many as Christi. How many apples does each have if pudge has 1

mote1985 [20]

Answer:

<h3>Pudge has 12 morethan apples that is 24 apples and both Ace and Christi has not more than 12 apples together they has atmost 12 apples.The apples does each having is</h3><h3>P = Pudge's Apples =24</h3><h3>A = Ace's Apples =8</h3><h3>and C = Christi's Apples=4.</h3>

Step-by-step explanation:

Let P = Pudge's Apples

Let A = Ace's Apples

Let C = Christi's Apples

<h3>To find how many apples does each have if Pudge has 12 more than both Ace and Christi together:</h3>

Given that P = 3A , A = 2C and P = A + C + 12

Substitute the value for P in P = A + C + 12 we get

3A = A + C + 12

3A-A=C+12

2A=C+12

From A = 2C we have that $C=\frac{A}{2}$

Substitute the value C:

$2A=\frac{A}{2}+12$

$2A-\frac{A}{2}=12$

$\frac{4A-A}{2}=12$

$\frac{3A}{2}=12$

$3A=12\times 2$

$A=\frac{24}{3}$

<h3>∴ A=8</h3>

Substituting the value of A in P=3A we get

P = 3(8)

<h3>∴ P = 24 </h3>

Substituting the values of P and A in P = A + C + 12

$24=8+C+12$

$24=C+20$

$24-20=C$

4=C

Rewritting we get

<h3>∴ C=4 </h3><h3>Hence Pudge has 12 morethan apples that is 24 apples </h3><h3>and both Ace and Christi has not more than 12 apples together they has atmost 12 apples</h3>

7 0

1 year ago

Mr. mole left his burrow that lies 7 meters below the ground and started digging his way deeper into the ground, descending at a

Dimas [21]

Answer:

$f(t)=-\frac{3}{2}t-7$

Step-by-step explanation:

We know that:

The initial conditions are -7 meters at 0 minutes.
Then, after 6 minutes, he was 16 meters below the ground.

According to these two simple facts we can found the linear function that describes this problem. First, the problem says that Mr. Mole is descending at a constant rate, which is the slope of the function. Now, to calculate the slope we need to points, which are $(0;-7)$ and $(6;-16)$ , where <em>t-values </em>are minutes, and <em>y-values </em>are meters. You can see, that the first point is the initial condition and the second point is 6 minutes later.

So, we calculate the slope:

$m=\frac{y_{2}-y_{1}}{t_{2}-t_{1}} \\m=\frac{-16-(-7)}{6-0}=\frac{-16+7}{6}=\frac{-9}{6}=\frac{-3}{2}$

From the slope we can see that Mr. Mole is descending, because it has a negative sign. Also, the point $(0;-7)$ is on the <em>y-axis</em>, because <em>t</em> is null, so -7 is part of the function. Therefore the function that describes this problem is:

$f(t)=-\frac{3}{2}t-7$

7 0

2 years ago

Read 2 more answers

Suppose babies born in a large hospital have a mean weight of 4095 grams, and a standard deviation of 569 grams. If 130 babies a

Butoxors [25]

Answer:

$P =0.3998$

Step-by-step explanation:

Let ${\overline{x}}$ be the average of the sample, and the population mean will be $\mu$

We know that:

$\mu = 4095$ gr

Let $\sigma$ be the standard deviation and n the sample size, then we know that the standard error of the sample is:

$E=\frac{\sigma}{\sqrt{n}}$

Where

$\sigma=569$

$n=130$

In this case we are looking for:

$P(|{\displaystyle{\overline{x}}}- \mu|>42)$

This is:

${\displaystyle{\overline{x}}}- \mu>42$ or ${\displaystyle{\overline{x}}}- \mu$

$P=P({\displaystyle{\overline{x}}}- \mu>42)+ P({\displaystyle{\overline{x}}}- \mu$

Now we get the z score

$Z=\frac{{\displaystyle{\overline{x}}}-\mu}{\frac{\sigma}{\sqrt{n}}}$

$P=P(z>\frac{42}{\frac{569}{\sqrt{130}}}) + P(z$

$P=P(z>0.8416) + P(z$

Looking at the tables for the standard nominal distribution we get

$P =0.1999+0.1999$

$P =0.3998$

6 0

1 year ago

The sales tax in your city is 8.8\%8.8%8, point, 8, percent, and an item costs \$63$63dollar sign, 63 before tax.

Shkiper50 [21]

9514 1404 393

Answer:

$5.54

Step-by-step explanation:

8.8% of $63 is ...

0.088×$63 = $5.544

The tax is rounded to the nearest cent, so you would pay $5.54 in tax.

7 0

1 year ago

A student raises her grade average from a 75 to a 90. What was the percent of increase

son4ous [18]

This can be solved algebraically. Before we start, as context, to find a percentage you multiply by the percentage/100.

$75*x=90 \\ x= \frac{90}{75} \\ \\ \boxed{x=1.2}$

This tells us that 90 is 120% of 75. However, your question wants us to find the <em>increase</em>, therefore we don't need that 100.
Therefore, the increase is 20%.

4 0

2 years ago