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3 years ago

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Sharon buys a new phone that is $144.60. It is on sale for 25% off, and she has to pay a 6.5% sales tax. How much does she pay f

or the phone?

1 answer:

-BARSIC- [3]3 years ago

8 0

Answer:

$ $115.50$

Step-by-step explanation:

<em>To find out what she paid with the discount and no tax, turn the percentage into a decimal. To do that, divide it by 100.</em>

$25 / 100= .25$

Then, multiply that by the total.

$.25 * 144.6= 36.15$

<em>Subtract that by the total.</em>

$144.6 - 36.15=108.45$

<em>Now, we need to find the sales tax. Again, we know to divide the percentage by 100 to get the decimal. In that case, 6.5% is now .065.</em>

Multiply that by the discounted price.

$.65 * 108.45= 7.05$

<em>Add that to the price.</em>

$108.45 + 7.05 =115.50$

$ $115.5$ would be the total price.

<em>:)</em>

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Someone came into a store and stole 100 dollars from the register. The person returned 5 minutes later and purchased 70 dollars

Nataliya [291]

Think of it this way. Ignore for now that $100 was stolen.

The purchase of the $70 item for $100 cash with $30 change is a perfectly fair purchase. The store received $100 cash, and the store gave $70 worth of merchandise plus $30 cash.There was no loss to the store there.

The fact that $100 in cash was stolen earlier from cash register means the loss is $100. The legitimate transaction does not affect the loss.

If you have a hard time understanding the loss is $100, then think of it this way.
Reverse the order of the two happenings.

A person walked into a store and bought a $70 item with a $100 bill. He received $30 change. So far, there is no loss to the store. Everything is legit.

That customer later came back to the store and stole $100 from the cash register.

Here we see clearly that the loss is exactly $100. It is simply the $100 stolen from the cash register.

5 0

2 years ago

D(n) = 8 - 6(n - 1)d(n)=8−6(n−1)

VikaD [51]

Answer: 2

Step-by-step explanation:

So you distribute the -6 to the n and -1

Resulting info d(n)= 8-6n+6

Combine the 8 and 6. Getting 14

Add 6n in both sides getting

7n=14

Divide by 7

N=2

8 0

3 years ago

Information about the proportion of a sample that agrees with a certain statement is given below. Use StatKey or other technolog

lara31 [8.8K]

Answer:

$SE=\sqrt{\frac{\hat p (1-\hat p)}{n}}=\sqrt{\frac{0.35 (1-0.35)}{100}}=0.048$

If we replace the values obtained we got:

$0.35 - 1.96\sqrt{\frac{0.35(1-0.35)}{100}}=0.257$

$0.42 + 1.96\sqrt{\frac{0.42(1-0.42)}{150}}=0.443$

The 95% confidence interval would be given by (0.257;0.443)

Step-by-step explanation:

Notation and definitions

$X=35$ number of people that agree.

$n=100$ random sample taken

$\hat p=\frac{35}{100}=0.35$ estimated proportion of people that agree

$p$ true population proportion of peopl that agree

A confidence interval is "a range of values that’s likely to include a population value with a certain degree of confidence. It is often expressed a % whereby a population means lies between an upper and lower interval".

The margin of error is the range of values below and above the sample statistic in a confidence interval.

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

The population proportion have the following distribution

$p \sim N(p,\sqrt{\frac{p(1-p)}{n}})$

Solution to the problem

In order to find the critical value we need to take in count that we are finding the interval for a proportion, so on this case we need to use the z distribution. Since our interval is at 95% of confidence, our significance level would be given by $\alpha=1-0.95=0.05$ and $\alpha/2 =0.025$ . And the critical value would be given by:

$z_{\alpha/2}=-1.96, z_{1-\alpha/2}=1.96$

The confidence interval for the mean is given by the following formula:

$\hat p \pm z_{\alpha/2}\sqrt{\frac{\hat p (1-\hat p)}{n}}$

The standard error is given by:

$SE=\sqrt{\frac{\hat p (1-\hat p)}{n}}=\sqrt{\frac{0.35 (1-0.35)}{100}}=0.048$

If we replace the values obtained we got:

$0.35 - 1.96\sqrt{\frac{0.35(1-0.35)}{100}}=0.257$

$0.42 + 1.96\sqrt{\frac{0.42(1-0.42)}{150}}=0.443$

The 95% confidence interval would be given by (0.257;0.443)

6 0

3 years ago

Read 2 more answers

Would it be B? Let me know

IgorC [24]

Answer:

whats the question?

Step-by-step explanation:

8 0

2 years ago

The perimeter of a rectangle can be found using the equation P = 2L + 2W, where P is the perimeter, L is the length, and W is th

Naddik [55]

Answer:

D)Yes. The rectangle can have P = 60 and L = 18 because P = 2(18) + 2(12) would equal 60

Step-by-step explanation:

The formula for the perimeter of a rectangle is $P=2L+2W$ .

If the width is $W=12\:units$ and the length is $L=18\:units$ , then the perimeter becomes:

$P=2\times 12+2\times 18$ .

$\implies P=24+36$ .

$\implies P=60$ .

Therefore the answer is

D)Yes. The rectangle can have P = 60 and L = 18 because P = 2(18) + 2(12) would equal 60

7 0

2 years ago

Read 2 more answers