Find the new price for the markdown. Round to the nearest cent if necessary. $12.99 marked down 25%

Answers

Answer 1

Answer: $9.74

I like to do these equations backwards and multiply the first number by the opposite of it. ( think 1- the percent as a decimal) however, you can do this by converting the percent into a decimal and then subtracting that from the original number.

Have a great day!

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Amir arranged 9 photos on a bulletin board. He put the photos in rows. Each row contains the same number of photos. How many photos could be in each row?

Answers

Answer: There will be 3 rows with 3 photos.

Step-by-step explanation:

Since we have given that

Number of photos to be arranged by Amir on a bulletin board = 9

According to question, we have given that each row contains the same number of photos.

Let the number of rows be x

So, the number of photos also be x

So, our equation becomes

$x^2=9\n\nx=√(9)\n\nx=3$

So, there will be 3 rows with 3 photos.

three rows of threes

Please Simplify: 3+5i/2-i

Answers

ok so
(3+5i)/(2-i)
try to make it into the form a+bi
make bottom number in real
remember that i^2=-1 and
(a-b)(a+b)=a^2-b^2
look at bottomm
(2-i)
we can make it into 2^2-i^2 by multiplying it by (2+i)

multiply top and bottom
(3+5i)/(2-i) times (2+i)/(2+i)=(6+10i+3i+5i^2)/(2^2-i^2)= (6+13i+5(-1))/(4-(-1))=(6+13i-5)/(5)= (1+13i)/5=(1/5)+(13i/5)

a+bi
1/5+13/5i

Draw a quick picture for 37 . Draw to show how you would subtract 19 from 37 write to explain what you did

Answers

Answer:

Step-by-step explanation:

To Find : Draw to show how you would subtract 19 from 37 write to explain what you did

Refer figure

Total no. of triangles = 37

No. of pink triangles = 19

Total triangles - no. of pink triangles = no. of purple triangles

⇒37-19=18

Thus the attached figure shows how would subtract 19 from 37

Draw 37 circles and then use / slashes and cross out 19 of those circles

The ages of three brothers are consecutive even integers. Three times the age of the youngest brother exceeds the oldest brother's age by 48 years. What is the age of the youngest brother?

Answers

Answer:

28 years

Step-by-step explanation:

youngest brother's age = x

middle brother's age = x+2

oldest brother's age = x+4

3(x-2) = (x+2)+48

[simplify]

3x-6 = x+50

[add 6 to each side]

3x = x+56

[subtract x from each side]

2x = 56

[divide each side by 2]

x = 28

Final answer:

By forming an equation based on the information given in the question, we can deduce that the age of the youngest brother is 26 years.

Explanation:

Let's assume the youngest brother's age as 'x'. Since it's given that three brothers have **consecutive even integer** ages, the other two brothers' ages will be 'x+2' and 'x+4' respectively.

Per the question, three times the age of the youngest brother exceeds the oldest brother's age by 48 years, so we'll build an equation accordingly, which is 3x = x+4+48.

Now, let's simplify this equation: 3x = x+52. Subsequently, when we subtract x from both sides, we get 2x=52. Breaking it down further, we are left with x=26.

So, the age of the youngest brother is 26 years.

Learn more about Algebraic Equations here:

brainly.com/question/32183344

#SPJ3

You deposit $4000 in an account earning 6% interest compounded continuously. How much money will you have in the account in 15 years?

Answers

Answer:

9586.232772

$4000×1.06( to the power of 15)=9586.232772

Among the 10 most popular sports, men include competition-type sports - pool and billiards, basketball, and softball - whereas women include aerobics, running, hiking, and calisthenics. However, the top recreational activity for men was still the relaxing sport of fishing, with 41% of those surveyed indicating that they had fished during the year. Suppose 180 randomly selected men are asked whether they had fished in the past year. Suppose 180 randomly selected men are asked whether they has fished in the past year.a. What is the probability that fewer than 50 had fished?
b. What is the probability that between 50 and 75 (inclusive) had fished?
c. If the 180 men selected for the interview were selected by the marketing department of a sporting-goods company based on information obtained from their mailing lists, what would you conclude about the reliability of their survey results?

Answers

Answer:

(a) The probability that fewer than 50 had fished is 0.0002.

(b) The probability that between 50 and 75 (inclusive) had fished is 0.6026.

Step-by-step explanation:

Let X = number of men who had fished during the year.

The probability of the random variable X is, p = 0.41.

A random sample of n = 180 men are selected.

The random variable X follows a Binomial distribution with parameters n = 180 and p = 0.41.

A Normal approximation to Binomial is applied when the following conditions are met,

np ≥ 10
n(1 - p) ≥ 10

Check:

$np=180*0.41=73.8>10\nn(1-p)=180* (1-0.41)=63.72>10$

Thus, the distribution of x can be approximated by a Normal distribution with:

Mean = $np=180*0.41=73.8$

Standard deviation = $√(np(1-p))=√(180*0.41*(1-0.41))=6.599$

(a)

Compute the probability that fewer than 50 had fished as follows:

$P(X<50)=P((X-\mu)/(\sigma)>(50-73.8)/(6.599))\n=P(Z<-3.61)\n=1-P(Z<3.61)\n=1-0.9998\n=0.0002$

Thus, the probability that fewer than 50 had fished is 0.0002.

(b)

Compute the probability that between 50 and 75 (inclusive) had fished as follows:

$P(50\leq X\leq 75)=P(49.5<X<75.5)\n=P((49.5-73.8)/(6.599)<(X-\mu)/(\sigma)<(75.5-73.8)/(6.599))\n=P(-3.68<Z<0.26)\n=P(Z<0.26)-P(Z<-3.68)\n=0.6026-0\n=0.6026$

Thus, the probability that between 50 and 75 (inclusive) had fished is 0.6026.

(c)

If the sample of 810 men are selected from mailing list then it is highly probable that the sample is not a representative of the true population, i.e. sports men.

Because the people interested in sports are less likely to be interested in fishing.

Thus, it could be concluded that the survey results are not reliable.

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