Nadya deposited $1,000 into a savings account that pays 3. 5% simple interest per year. Which expression represents the value of her investment after 8 years?

The final answer is (1 + 21√2)/(21√2). The process of rationalization involves changing the form of an expression to eliminate radicals from its Denominator, or to eliminate denominators from a radical expression.

To rationalize the denominator 1/7 + 3√2,

A rational number is a number that can be expressed as a ratio of two integers, with the denominator not equal to zero. The fraction 4/5, for example, is a rational number since it can be expressed as 4 divided by 5.

Step-by-Step SolutionTo rationalizes the denominator 1/7 + 3√2, we'll need to follow these steps.

Step 1: First, we need to create a common denominator for the two terms. The common denominator is 7. Thus, we can convert the expression to the following form:(1/7) + (3√2 × 7)/(7 × 3√2).

Step 2: Simplify the denominator to 7. (1/7) + (21√2)/(21 × 3√2).

Step 3: The numerator and denominator can now be simplified. (1 + 21√2)/(7 × 3√2).Step 4: Simplify further. (1 + 21√2)/(21√2).We have successfully rationalized the denominator!

The final answer is (1 + 21√2)/(21√2).

The final answer is (1 + 21√2)/(21√2). The process of rationalization involves changing the form of an expression to eliminate radicals from its denominator, or to eliminate denominators from a radical expression.

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The entire number of jobs in a profession, including self-employment, part-time employment, and full-time employment, is known as employment.

Employment is the total number of jobs in a profession, including self-employment, part-time work, and full-time work.

Growth or reduction in employment is reflected in the number of jobs.

Through GDP, employment creation benefits the economy.

When a person is employed, their employer pays them.

As a result, they have money to spend on things like food, clothing, entertainment, and many other things.

The amount of demand rises in direct proportion to an individual's spending.

So, according to the given table:

(1) The projected employment growth industry average (%): 9.1

(2) Mining, Manufacturing, Construction, Retail trade

(3) Education and training, Healthcare and Social Assistance, Arts and recreation services

(4) The % growth of the individual industry is lower or higher than the average growth of overall industries distinguishes a high-growth industry compared to a low-growth industry.

Therefore, the entire number of jobs in a profession, including self-employment, part-time employment, and full-time employment, is known as employment.

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Answer:

The ratio of girls to total students is 12:30, which can be simplified to 2:5.

Step-by-step explanation:

You can express the ratio in different ways by using the same numbers, for example, you could say that for every 2 girls, there are 5 total students, or that for every 5 total students, 2 of them are girls.

Answer:

Step-by-step explanation:

Combine the two sources of income (25 + 8) = 33

b = 75+ (33)w

Let b = 270

Solve for w

270 = 75 + 33*w           Subtract 75 from both sides

270 - 75 = 33w

195 = 33w                     Divide by 33

195/33 = w            

w = 5.91 weeks              

The question is what do you do now?

The answer should be that you round to the next week which means that it will take you 6 weeks to get just over 270 dollars.

77.5d + .14m

m = 425

.14 * 425 = 59.5

77.5d + 59.5 ≤ 230

77.5d ≤ 170.5

d ≤ 170.5/77.5

d ≤ 2.2

if they only take payment for whole days, he has 2 whole days

104 square feet is the total area of the mural.

From the figure, we can say that the total area of the mural can be found by using basic algebra,

So,

The total area of the mural = area of the rectangle +area of the triangle- an area of a smaller triangle.

So, First for a bigger triangle,

the height of the triangle = 5 +2 = 7 ft.

the base of the triangle  = 14 ft.

the area = 1/2*base*height

Thus the area = 49 square feet.

For the rectangle,

Height of the rectangle = 8 ft.

Width of the rectangle  = 10 ft.

Thus the area of the rectangle = width * height

The area of the rectangle = 80 square feet

For the smaller triangle,

the height of the triangle = 5 ft.

the base of the triangle  = 10 ft.

the area = 1/2*base*height

Thus the area = 25 square feet.

Hence,

Total area of the mural = 80 + 49 -25

Therefore, The total area of the mural is 104 square feet

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Answer:

31,500

Step-by-step explanation:

Hope this helps!

Answer:

Square root of 56 so in simplest radical form 4 root 4

Step-by-step explanation:

Answer: x= 3

Step-by-step explanation:

Answer:

a

Step-by-step explanation:

the other angles do not open past an L shaped to be larger than 90, so c and d are out. For choice b, the b corner doesn't make an L shape either so it is not 90.

Answer:

the answer is simple you just p times a

and d

Step-by-step explanation:

:]

Answer:

hope this help you

Step-by-step explanation:

p times x and d

Edna should leave at 2:07 PM in order to arrive at Jake's party by 2:30 PM

To determine the time Edna should leave, we need to subtract the travel time from the desired arrival time.

If Edna needs to be at Jake's party at 2:30 PM and it takes her 23 minutes to drive there, she should leave 23 minutes before 2:30 PM.

To calculate the departure time, we subtract 23 minutes from 2:30 PM:

2:30 PM - 23 minutes = 2:07 PM

Therefore, Edna should leave at 2:07 PM in order to arrive at Jake's party by 2:30 PM

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Answer:

207 monthly payments

Step-by-step explanation:

12 x 17 = 204

.25 of a month = 3

204 + 3 = 207

Answer:

see explanation

Step-by-step explanation:

for a triangle to be formed the sum of any 2 sides must be greater than the length of the third side,  then

15 + 6 = 21 > 7 ← ok

15 + 7 = 22 > 6 ← ok

7 + 6 = 13 < 15 ← not ok

then the triangle cannot be formed as 7 + 6 < 15

Answer:

A

Step-by-step explanation:

im working on the test i got it right

Answer:

Step-by-step explanation:

The sum of the angles in a triangle is always 180 degrees. Therefore,

2x + 3x + 22 = 180

Simplifying the equation,

5x = 158

Dividing by 5 on both sides,

x = 31.6

To find the actual measures of 2x and 3x, we substitute the value of x:

2x = 2(31.6) = 63.2 degrees

3x = 3(31.6) = 94.8 degrees

Therefore, the actual measures of 2x and 3x are 63.2 degrees and 94.8 degrees, respectively.

Answer: Question 1 is 3/4

Question 2 is the line intersecting at -9 in the y axis and the slope is 4 so the other point would go at (1,-5)

Step-by-step explanation:

We can expect Ethan to select a lime chew about 26 times in 600 more trials.

According to the law of large numbers, as the number of trials increases, the proportion of times an event occurs should approach its theoretical probability.

In the 47 trials performed, there were 2 lime chews selected.

So the proportion of times a lime chew was selected is:

2/47

To estimate the expected number of times a lime chew will be selected in 600 more trials

Multiply the probability of selecting a lime chew by the total number of trials:

(2/47) × (600) = 25.53

Hence, we can expect Ethan to select a lime chew about 26 times in 600 more trials.

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Answer:

746

Step-by-step explanation:

Based on the given conditions, formulate: 1352 - 606

Calculate the sum of difference: 746

Answer: 746

Answer:is it 3?

Step-by-step explanation:

sorry if im wrong im not sure

The couple's success can be attributed to aggressive saving, early mortgage repayment, budgeting, and strategic investments. They likely had high incomes, practiced disciplined saving, and diversified their investments for long-term growth. These strategies allowed them to pay off their mortgage quickly and accumulate substantial wealth.

The couple's achievement of paying off their mortgage and building substantial wealth in a relatively short period of time can be attributed to several savings and investment strategies. Here are some possible strategies they might have employed:

1. Aggressive Saving: The couple likely had a disciplined approach to saving money. They may have set aside a significant portion of their income towards savings and lived within their means, avoiding unnecessary expenses.

2. High Income: It's possible that the couple had high-paying jobs or multiple income streams, allowing them to save and invest more aggressively. A higher income provides more opportunities for saving and investing larger amounts.

3. Budgeting and Expense Management: The couple may have created a comprehensive budget to track their income and expenses. By closely monitoring their spending and identifying areas where they could cut back, they were able to allocate more funds towards their mortgage payment and investments.

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The point estimate from a confidence interval can be found by taking the midpoint of the interval.

The formula for the point estimate is (lower bound + upper bound) / 2. For example, the 95% confidence interval for a sample mean of 25 is (23, 27). The point estimate for this sample mean is (23 + 27) / 2 = 25. This point estimate is the best estimate of the true population mean.

In essence, the point estimate is the best guess of the population mean given the data. It is calculated by taking the midpoint of the confidence interval, which is the range of values that is believed to contain the population mean with a certain degree of confidence. The point estimate is usually the most reliable estimate and is used to make decisions in statistical analysis.

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Answer:

She would use the mean.

Step-by-step explanation:

Answer:

Slope = \(-\frac{11}{7}\)

Step-by-step explanation:

Slope = \(\frac{rise}{run}\)

Slope = \(\frac{y2-y1}{x2-x1}\)

Slope = \(\frac{7+4}{-12+5}\)

Slope = \(\frac{11}{-7}\)

Slope = \(-\frac{11}{7}\)

Answer:

11/-7

Step-by-step explanation

- First you get you X1 and Y1 then X2 and Y2

-after getting that your problem should look like this:

7 minus negative 4

over negative -12  minus negative -5

which when subtracted will get you 11/-7!

please give brainliest!

Answer:

3/26

Step-by-step explanation:

6 of the 52 cards are red

Answer: 27

Step-by-step explanation:

two base ten blocks then 7

Answer:

a) Probability of getting exactly 7 hits = 0.001075

b)  Probability of getting fewer than seven = 0.999

c) Probability of getting at least seven hits = 0.001

Step-by-step explanation:

The process is a Poisson process.

Rate, \(\lambda = 0.4\)

The probability is to be calculated between 8:27 PM and 8:31 PM

t = 4

\(\lambda t = 0.4 * 4 = 1.6\)

If the number of hits is represented by X

\(P(X = x) = \frac{e^{- \lambda t} (\lambda t)^x}{x!}\)

a) Probability of getting exactly 7 hits

\(P(X = x) = \frac{e^{- 1.6} (1.6)^7}{7!}\\P(X= 7) = 0.001075\)

b) Probability of getting fewer than seven

\(P(X < 7) = P(X=0) + P(X=1) + P(X=2) + P(X=3) + P(X=4) + P(X=5) + P(X=6)\\P(X < 7) = e^{- 1.6} [ \frac{1.6^0}{0!} + \frac{1.6^1}{1!} + \frac{1.6^2}{2!} + \frac{1.6^3}{3!} + \frac{1.6^4}{4!} + \frac{1.6^5}{5!} + \frac{1.6^6}{6!} ]\)

P(X < 7) = 0.999

c) Probability of getting at least seven hits

\(P(X \geq 7) = 1 - P(x < 7)\\P(X \geq 7) = 1 - 0.999\\P(X \geq 7) = 0.001\)

Using the Poisson distribution, it is found that:

a) 0.0011 = 0.11% probability of exactly 7 hits in a 4 minute interval, which means that over many 4 minute intervals between 7 and 10 PM, 0.11% of them will have exactly 7 hits.

b) 0.9985 = 99.85% probability of fewer than seven hits in a 4 minute interval, which means that over many 4 minute intervals between 7 and 10 PM, 99.95% of them will have fewer than 7 hits.

c) 0.0015 = 0.15% probability of at least seven hits in a 4 minute interval, which means that over many 4 minute intervals between 7 and 10 PM, 0.15% of them will have at least 7 hits.

In a Poisson distribution, the probability is:

\(P(X = x) = \frac{e^{-\mu}\mu^{x}}{(x)!}\)

The parameters are:

In this problem, we have a mean of 0.4 hits per minute, interval of 4 minutes, thus:

\(\mu = 0.4(4) = 1.6\)

The probabilities we are going to use are:

\(P(X = x) = \frac{e^{-\mu}\mu^{x}}{(x)!}\)

\(P(X = 0) = \frac{e^{-1.6}1.6^{0}}{(0)!} = 0.2019\)

\(P(X = 1) = \frac{e^{-1.6}1.6^{1}}{(1)!} = 0.3230\)

\(P(X = 2) = \frac{e^{-1.6}1.6^{2}}{(2)!} = 0.2584\)

\(P(X = 3) = \frac{e^{-1.6}1.6^{3}}{(3)!} = 0.1378\)

\(P(X = 4) = \frac{e^{-1.6}1.6^{4}}{(4)!} = 0.0551\)

\(P(X = 5) = \frac{e^{-1.6}1.6^{5}}{(5)!} = 0.0176\)

\(P(X = 6) = \frac{e^{-1.6}1.6^{6}}{(6)!} = 0.0047\)

\(P(X = 7) = \frac{e^{-1.6}1.6^{7}}{(7)!} = 0.0011\)

Item a:

P(X = 7) = 0.0011, thus:

0.0011 = 0.11% probability of exactly 7 hits in a 4 minute interval, which means that over many 4 minute intervals between 7 and 10 PM, 0.11% of them will have exactly 7 hits.

Item b:

This probability is:

\(P(X < 7) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) + P(X = 4) + P(X = 5) + P(X = 6)\)

Then, with the values we found:

\(P(X < 7) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) + P(X = 4) + P(X = 5) + P(X = 6) = 0.2019 + 0.3230 + 0.2584 + 0.1378 + 0.0551 + 0.0176 + 0.0047 = 0.9985\)

0.9985 = 99.85% probability of fewer than seven hits in a 4 minute interval, which means that over many 4 minute intervals between 7 and 10 PM, 99.95% of them will have fewer than 7 hits.

Item c:

This probability is:

\(P(X \geq 7) = 1 - P(X < 7) = 1 - 0.9985 = 0.0015\)

0.0015 = 0.15% probability of at least seven hits in a 4 minute interval, which means that over many 4 minute intervals between 7 and 10 PM, 0.15% of them will have at least 7 hits.

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The number of time it would take Todd to paint the room alone is 15 hours.

Given the following data:

To calculate the number of time it would take Todd to paint the room alone:

How to solve a word problem:

In order to solve this exercise, we would first of all calculate their individual rate and combined rate respectively. Finally, we would add their individual rates together and equate it to the combined rate.

For Sue:

\(Rate = \frac{1}{10} \;work/hr\)

For Jeff:

\(Rate = \frac{1}{12} \;work/hr\)

For Todd:

\(Rate = \frac{1}{t} \;work/hr\)

Combined rate:

\(Rate = \frac{1}{4} \;work/hr\)

Adding the individual rates, we have:

\(\frac{1}{10} +\frac{1}{12} +\frac{1}{t} =\frac{1}{4} \\ \\ \)

Multiplying all through by 120t, we have:

\(12t+10t+120=30t\\ \\ 22t+120=30t\\ \\ 120=30t-22t\\ \\ 120=8t\\ \\ t=\frac{120}{8} \)

t = 15 hours.

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