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slava [35]
3 years ago
15

Graph the image of this figure after a dilation with a scale factor of 2 centered at (2, 2).

Mathematics
1 answer:
Maru [420]3 years ago
6 0

Answer:

(-6,6), (0,12), (4,8)

Step-by-step explanation:

To dilate an object, we need to multiply the x and y values by the given scale factor.

In this case the scale factor is 2 --> 2(x, y)

Before-> After dilation

2(-3,3) = (-6,6)

2(0,6) = (0,12)

2(2,4) = (4,8)

Please leave a 'thanks' if this helps!

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Last year, the total revenue for Home Style, a national restaurant chain, increased 5.25% over the previous year. If this trend
Setler [38]

Answer:

Monthly percent increase in revenue = 0.4273%.

Step-by-step explanation:

Let m = number of months in time period.

We have that: Annual increase based on annual rate = Annual increase based on monthly rate * 12.

To find the increase in the original amount, we use the formula:

A_{0}(1 + i)^{n}, where n = number of time periods and i = interest rate.  

Therefore,

Ao(1 + ia) = Ao(1 + im)m,

A_{0}(1 + i_{a} )^{n_{a} } = A_{0}(1 + i_{m} )^{n_{m} }

where Ao= original amount, ia = annual interest rate, im = monthly interest rate, na = number of annual time periods, nm = number of monthly time periods.

n_{a}=1; n_{m}=m

A_{0}(1 + i_{a} ) = A_{0}(1 + i_{m} )^{m}

Divide both sides by Ao

(1 + i_{a}) = (1 + i_{m} )^{m}

Taking the mth root of both sides

(1 + i_{a})^{\frac{1}{m}}=  1 + i_{m}

i_{m} = (1 + i_{a})^{\frac{1}{m}}-1

i_{a}= 5.25*1/100 = 0.0525\\m = 12

i_{m} = (1 + 0.0525)^{\frac{1}{12}}-1\\i_{m} = (1.0525)^{\frac{1}{12}}-1 = 1.004273 - 1\\i_{m} = 0.004273 * 100\\i_{m} = 0.4273

i_{m}= 0.4273%

Thus, the monthly revenue increase of Home Style is 0.4273%.

3 0
3 years ago
Coach Dom took the football team out for pizza. He bought 6 pies at $6.35 each. He left a 18 % tip. How much did Coach Dom spend
Travka [436]

Answer: $44.96

Step-by-step explanation:

6 × 6.35 = 38.1

38.1 × .18 = 6.86

38.1 + 6.86 = 44.96

4 0
3 years ago
A statistician selected a sample of 16 accounts receivable and determined the mean of the sample to be $5,000 with a standard de
Anon25 [30]

Answer:

The confidence level that was used is 0.25% .

Step-by-step explanation:

We are given that mean of the selected sample of 16 accounts is $5,000 and a standard deviation of $400.

It has also been reported that the sample information indicated the mean of the population ranges from $4,739.80 to $5,260.20. This represents the Confidence Interval for population mean.

<em>But we have to find that at what confidence level this information about range of population men has been stated.</em>

Since we know that Confidence Interval for population mean is given by :

   <em>C.I. for population mean = Sample mean(xbar) </em>\pm<em> z value * </em>\frac{Standard    deviation}{\sqrt{n} }<em />

i.e.,<em>if we have 95% C.I. = xbar </em>\pm<em> 1.96 * </em>\frac{\sigma}{\sqrt{n} }<em> .</em>

So, our Confidence Interval for population is written as :

 [$4,739.80 , $5,260.20] = $5000 \pm z value * \frac{400}{\sqrt{16} }

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In z table we find that at value of 2.60 the probability is 0.99534 so subtracting this from 1 we get confidence level for one tail i.e.0.5%(approx).

Therefore, for two tail Confidence level will be 0.5%/2 = 0.25% .

4 0
3 years ago
Raeana is twice as old as Madeline, and Laura is 10 years older than Raena. If Laura is 50 years old, how old is Madeline? Defin
laiz [17]

Answer: Madeline is 20 yrs old

Step-by-step explanation:

If Laura is 50 and she is 10 years older than Raena then Raena is 40 that would then make Madeline 20 years old.

7 0
4 years ago
A display of seed packets contains 24 zucchini seed packets and 28 other seed packets. What is the probability that a randomly s
Nonamiya [84]

Answer:

The probability is 6/13

Step-by-step explanation:

Number of zucchini seed packets = 24

Number of other seed packets = 28

Total number of packets = 24 + 28 = 52

Probability is given by

P(E)=\frac{n(E)}{n(s)}\\\\n(E)=24,n(s)=52\\P(E)=\frac{24}{52}\\\\P(E)=\frac{6}{13}

Hence, the required probability is 6/13

3 0
3 years ago
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