Cameron invests money in an account paying a simple interest of 7% per year. If no money will be added or removed from the investment, what should he multiply his current balance by to find his total balance in a year in one step?

Answer:

x=4

Step-by-step explanation:

Step 1: Multiply both sides by 2 to get rid of the fraction:

7/2x*2=14*2

7x=28

Step 2: Divide both side by 7 to get rid of the number infront of x.

7x/7+28/7

x=4

The solution will be that the home-decorating company will require 42 yards of fabric for the customer's window treatments.

As per the information we have received from the question,

A single window requires 13 yards and a double window requires 16 yards of fabric. We are asked to find out the length of fabric that will be required by the home-decorating company, in case there were 2 single windows and 1 double window. The total amount of fabric that will be required by the home-decorating company is hence equal to

13×(no of single windows)+ 16×(no of double windows)

Here, no of single windows= 2

And, no of double window= 1

Hence, total fabric length=13×2 + 16×1=26 + 16=42 yards

Hence the solution is 42 yards of fabric.

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Answer:

15 feet

Step-by-step explanation:

Subtract 10 feet from the height of the ladder

Answer:

P = 12x - 9

Step-by-step explanation:

To find the perimeter of the triangle, we just add all of the sides.

The formula is:

P = a + b + c

Given:

a = 5x - 6

b = 4x - 3

c = 3x

Work:

P = a + b + c

P = 5x - 6 + 4x - 3 + 3x

P = 12x - 9

unpredictable and easily loses his/her temper with family members.  A disconnect starts setting in, pushing him/her further into depression. This leads to a lack of confidence and eventually with growing frequency of arguments.

The claim we need to check is that 16 is the 50% of 36.

Recall that if we add 50% and 50%, we should end up with 100%. In our case, we have that our 100% is 36. So, if it was true that 16 is the 50% of 36, then it should happen that if we add 16 with itself, we should get 36.

Note that

Since 16+16 is not 36, it is not true that 16 is the 50% of 36.

a) Median will be an appropriate measure for the distribution. b) Mean will be an approprate measure for the distribution.

Here we already have the data available to us. From the data, we can clearly see that

Mode < Mean < Median

Hence this is a negatively skewed distribution.

Therefore the appropriate measure of central tendency for this distribution will be the median. The median will tell us the point at which the frequency is divided by 50%.

Hence we can say that the median will a more appropriate measure.

Now if the data has another aspect of sex included, then the frequency column would be divided into separate columns with each gender identity taking up its own column.

Since now this will become multivariate data, the best measure of central tendency will be Mean.

The difference in the measure of central tendency will depend upon how skewed the data for every sex will be. For example, if in a country, men preferred to be educated over women, then the mean for men will be a lot higher than that of women. On the other hand, the EDUC for women will be a lot lower.

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The variance of the number of occasions a 6 appears when a fair die is thrown 12 times is 0.156.

It determines the likelihood of achieving a specific number of successes over a specific number of trials with a consistent success rate using the binomial distribution.

With a 1/6 likelihood of success for each trial, the number of successes in this example is equal to the number of 6s that occur.

The probability of each conceivable value of the quantity of 6s that appear may be calculated using the binomial formula. The likelihood of receiving exactly 0 number of 6s is (12 choose 0) ×\((\frac{1}{6})^0\) × \((\frac{5}{6}) ^{12}\) = 0.1680. The probability of getting exactly 1 number of 6 is (12 choose 1) × \((\frac{1}{6})^1\) × \((\frac{5}{6})^{11}\) = 0.4401. The probability of getting exactly 2 numbers of 6s is (12 choose 2) × \((\frac{1}{6})^2\) × \((\frac{5}{6})^{10}\) = 0.3744. And so on.

The likelihood of receiving 0 6s, for instance, multiplied by the square of the 0's divergence from 2 is 0.1680 × (0 - 2)² = 0.7056. The likelihood of receiving 1 6 when multiplied by the square of the difference between 1 and 2 is 0.4401 × (1 - 2)² = 0.4401. And so on.

To get the anticipated value of the squared departure of the number of 6s that occur from 2, we may finally total up all of these probabilities.

This predicted value is equal to 1.8801 by adding 0.7056, 0.4401, 0.3744, 0.1596, 0.0368, and 0.0036.

The range in the number of 6s that appear after tossing a fair die 12 times is thus 1.8801.

To express the variation in decimal notation, divide the difference by the total number of rolls (12), then round the output to the closest three decimals.

As a consequence, we obtain a variance of 0.1567. The variance in the number of occasions a 6 appears when a fair dice is rolled 12 times is thus 0.1567.

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The length of the shorter arc from vertex P to vertex N is 37.68 inches.

In a two-dimensional plane, a polygon is a closed object formed of line segments rather than curves. Polygon is a word that combines the words poly (which means numerous) and gon (which means sides).

To create a closed figure, at least three line segments must be connected end to end.

Given an equilateral polygon, PENTA is inscribed in a circle of radius 15 inches,

The central angle of the polygon leaning to the shortest chord is

α = 2π/5

α = 2*360/5 = 72°

The central angle of the polygon leaning to the shorter arc from vertex P to vertex N is

β = 2(2π/5)

β = 144°

The length of the corresponding arc is

= r*β

here r = 15 inches, and π = 3.14

length = r*2*2π/5

length = 15*2*2(3.14/5)

length = 37.68 inches.

Hence length is 37.68 inches.

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Answer: 6.25 ounces. You're right

Step-by-step explanation:

43.75 ÷ 7 = 6.25

you can check by multiplying:  7 × 6.25 = 43.75

The initial number is approximately 7.33.

Let's call the initial number "x".

According to the problem, the first step is to write 2 to the right of the number: this gives us the number 10x + 2.

-The next step is to add 14 to this number, which gives us:

10x + 2 + 14 = 10x + 16

-Then we write 3 to the right of this number, giving:

100x + 16 + 3 = 100x + 19

-And finally, we add 52 to this number:

100x + 19 + 52 = 100x + 71

Dividing this final number by 60 gives a quotient that is 6 greater than the initial number and a remainder that is a two-digit number with both digits the same as the initial number.

-So we have the equation:

(100x + 71) ÷ 60 = x + 6 + 0.01x

-We want to solve for x, so we first multiply both sides by 60:

100x + 71 = 60(x + 6 + 0.01x)

-Simplifying the right-hand side:

100x + 71 = 60x + 360 + 0.6x

Combining like terms:

39.4x =289

Dividing both sides by 39.4:

x =7.33

Therefore, the initial number is approximately 7.33.

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Answer:

D

Step-by-step explanation:

the Negative sign in front of 2 shows the function is decreasing

Answer:

bgreewqazxcvbnmmmmmmmmm,,,,lpoiuytrewqasdfghjkl

Step-by-step explanation:

mmmmmmmmmmmmmnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb

Answer:

12/18 every hour

Step-by-step explanation:

2/3 =10 minutes

4/6 = 20 minutes

6/9 = 30 minutes

8/12 = 40 minutes

10/15 =50 minutes

12/18 = 60 minutes

In general, the compound interest formula is

In our case, since it is not specified how often the interest is compounded, we will assume that n=1; then,

a) Set t=1

b) Set t=2,

Notice that we are not given the number of times the interest is applied per year; therefore, we had to assume that it compounds 1 time annually.

Answer:

The probability that Tara will select a blue marble from each bag is \(\frac{2}{27}\).

Step-by-step explanation:

Since there are 15 marbles in the first bag and 9 marbles in the second bag, that means there are a total of 135 different combinations of one marble from each bag. Since there are 5 blue marbles in the first bag and 2 blue marbles in the second bag, there are 10 different possible combinations of one blue marble from each bag. The probability that Tara will select a blue marble from each bag can be represented as \(\frac{10}{135}\) or \(\frac{2}{27}\).

Answer: 20 2/5

Step-by-step explanation: 60/100=x/34

100x/100=2040/100

x=102/5=20 2/5

Answer: Is tddionshdjhijjjisjs

Answer:

d) 16, 19, 14 + x

e) x + 20, 30, 33, 15, y - 20, x+x+20=60 and James would be 20.

f) 13

g) 120

Step-by-step explanation:

D.

(1) 14 + 2 = 16

(2) 14 + 5 = 19

(3) 14 + x

E.

(1) x + 20

(2) 10 + 20 = 30

(3) 13 + 20 = 33

(4) 35 - 20 = 15

(5) y - 20

(6) x + (x + 20) = 60 | 2x + 20 = 60 | 2x = 40 | x = 20

F.

200 - 148 = 52

52 / 4 = 13 each

G.

500 + 100 = 600

600 / 5 = 120 without the discount

Hope this helps!

Answer:

Step-by-step explanation:

Radius = 8 in ( Given)

Area of shaded part:

Area of circle - Area of square

\((\pi \times {(8)}^{2} ) - ( \frac{16}{ \sqrt{2} } ) ^{2} \)

\( = (3.14 \times 64) - \frac{256}{2} \)

\( = 200.96 - 128\)\( = 72.96 \: {in}^{2} \)

Hope this helps...

Good luck on your assignment

Answer:

543643

Step-by-step explanation:

do it your self

Answer:

r= 3.30m (3 s.f.)

Step-by-step explanation:

\(\boxed{volume \: of \: cylinder = \pi {r}^{2}h }\)

219= πr²(6.4)

\( {r}^{2} = \frac{219}{6.4\pi}\)

Square root both sides:

\(r = \sqrt{ \frac{219}{6.4\pi} } \)

r= 3.30m (3 s.f.)

Answer:

2.08 this is answer

The frequency of revision times is given by the product of the frequency

density value and the class width.

Correct response:

The estimate of the number of students who revised for less than 45

minutes is given by the area, A, under the histogram to the left of the 45

minute mark as follows;

Frequency, f = Frequency density × Class width

Number of students = ∑f

Therefore;

A = 5 × 2 + 10 × 2.2 + 20 × 1.6 + 10 × 0.8 = 72

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The domain of the inverse function f⁻¹ is [3, ∞).

To find the inverse of the function f(x) = x² + 3, we start by solving for x in terms of y.

1. Set y = x² + 3:

x² + 3 = y

2. Subtract 3 from both sides:

x² = y - 3

3. Take the square root of both sides (considering the positive square root as we want the inverse to be a function):

x = √(y - 3)

Therefore, the inverse function of f(x) = x² + 3 is f⁻¹(x) = √(x - 3), where f⁻¹ denotes the inverse of f.

Now let's determine the domain of f⁻¹. Since the original function f(x) is defined for the domain [0, ∞), the range of f(x) is [3, ∞). As a result, the domain of the inverse function f⁻¹(x) will be [3, ∞), as the roles of the domain and range are reversed.

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Answer:

12 years old

Step-by-step explanation:

3x+5=41

3 times a number and 5 more

'more' usually means adding

41-5 =36

36/3 =12

Answer:

Equation: 41 = 3x + 5

x = 12

Step-by-step explanation:

Hello!

Betty is 5 more than 3 times Jadyn's age. Since Jadyn's age is unknown, we'll call that unknown variable x.

Betty is 5 more than 3 times x. Betty is also 41 years old.

Equation: 41 = 3x + 5

Now we have to solve for x

Solve for x:

Jadyn is 12 years old.

The percentage of the men in the sample who have blood type O is 40.38%.

What is the percentage?

A percentage is a figure or ratio stated as a fraction of 100 in mathematics. The acronyms pct., pct., and occasionally pc are also used to indicate it, however, the percent sign is most frequently used. A % is a number without dimensions and without a standard measurement.

Here, we have

Given: The contingency table below shows the blood types of a sample of people cross-classified by sex.

We have to find the percentage of the men in the sample who have blood type o.

Total number of males = 104

Number of males who has blood type O = 42

Percentage of the males in the sample have blood type O:

= (42×100%)/104

= 40.38%

Hence, the percentage of the men in the sample who have blood type O is 40.38%.

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The 99% confidence interval for the true population proportion of people with kids is:

CI = (0.482, 0.578)

To construct a 99% confidence interval for the true population proportion of people with kids, we can use the following formula:

\(CI = p $\pm z $ \sqrt{(p(1-p)/n)}\)

where CI is the confidence interval, p is the sample proportion, z is the critical value from the standard normal distribution corresponding to the desired confidence level (in this case, 99% corresponds to a critical value of 2.576), and n is the sample size.

Substituting the given values into the formula, we get:

\(CI = 0.53 $\pm 2.576 $\sqrt{(0.53(1-0.53)/600)}\)

Simplifying this expression, we get:

CI = 0.53 ± 0.048

Therefore, the 99% confidence interval for the true population proportion of people with kids is:

CI = (0.482, 0.578)

This means that we can be 99% confident that the true proportion of people with kids in the population lies between 0.482 and 0.578.

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Answer:

8

Step-by-step explanation:

234 /18 = 13 dollars a person

104/13= 8 people

The number of hours Natalie worked babysitting last week is 6hrs and the number of hours she worked landscaping last week is 2 hrs.

Let x be the number of hours Natalie worked babysitting and y be the number of hours she worked landscaping. Then, the total earnings were 11x + 10y = $86.

Also, x = 3y, because she worked 3 times as many hours babysitting as she did landscaping.

Substitute x = 3y into the first equation:

11(3y) + 10y = $86

Expanding the first term we get,

33y + 10y = $86

Combining terms,

43y = $86

Dividing both sides by 43 we get,

y = $2

So, Natalie worked y = 2 hours of landscaping.

To find the number of hours she worked babysitting, substitute y = 2 into x = 3y as follows -

x = 3(2) = 6

So Natalie worked x = 6 hours babysitting.

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No, being 2-edge-connected is not a transitive property. Counterexamples can be constructed to show that the conclusion does not always hold.

For example, consider a graph with four vertices v, w, x, and y, where v and w are adjacent, as well as w and x, and x and y. In this case, v and w, and w and y are 2-edge-connected, but v and y are not 2-edge-connected since there is only one edge connecting them.

Thus, it can be concluded that being 2-edge-connected is not a transitive property, and counterexamples can be constructed to demonstrate this fact.

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