Dudley Durite deposited $350 into a savings account that earns 6.5% interest compounded semi annually. What amount was in his account at the end of 1 year?

Answer:

number = 25

Step-by-step explanation:

❖ First, let's set up the equation.

Solving

Step 1: Subtract 4n from both sides

Step 2: Divide both sides by -3.

Step 3: Check if solution is correct.

Therefore, the number is 25.

Answer:

90%

Step-by-step explanation:

A fraction consists of two numbers and a fraction bar:

18/20

The number above the bar is the numerator: 18

The number below the bar is the denominator: 20

Divide the numerator by the denominator to get fraction's value:

Val = 18 ÷ 20

Answer:

Slope = -5

Step-by-step explanation:

(x,y) ⇒ (13,11), (14,6), (15,1), (16,-4)

Pick any two points:

(x₁, y₁) and (x₂, y₂) ⇒ (15, 1) and (16, -4)

Use the slope formula:

⇒ y₂ - y₁/x₂ - x₁

⇒ -4 - 1/16 - 15

⇒ -5/1 = -5

Thus, the slope is -5.

Answer:

8.047 meters hope this helps and google as the converter if you need it

Answer:

8 meters

Step-by-step explanation:

26.4 / 3.3 = 8 meters

[tex]\textit{area of a sector of a circle}\\\\ A=\cfrac{\theta \pi r^2}{360}~~ \begin{cases} r=radius\\ \theta =\stackrel{degrees}{angle}\\[-0.5em] \hrulefill\\ r=20\\ \theta =90 \end{cases}\implies \begin{array}{llll} A=\cfrac{(90)\pi (20)^2}{360}\implies A=100\pi \\\\\\ A\approx 314.2 \end{array}[/tex]

Answer:

The first answer is D

the second answer is B

Step-by-step explanation:

The reason why the first answer is D is because in the problem it says at least twice as many seniors is travelling compared to the juniors and D is the only one that shows at least twice than as many juniors and it also it true in the equation 230>2y+x

The reason why the second answer is B is because both of the lines touch at the points (-2,1) which is the same points as B

Answer:

8x + 12x = 180

x=9

Step-by-step explanation:

Answer:

x = 9

Step-by-step explanation:

8x + 12x = 180

20x = 180

x = 180/20

x = 9

Please mark me the brainliest!?!

Answer:

What is the probability that you will finish this quiz in 23.84 minutes or less?

0.03593

Write your answer as a percentage with 2 decimals

= 3.59%

Step-by-step explanation:

The z score formula is given as:

z = (x-μ)/σ, where x is the raw score, μ is the population mean, and σ is the population standard deviation.

Mean = 26 minutes

Standard deviation = 1.2 minutes.

The probability that you will finish this quiz in 23.84 minutes or less(≤) is calculated as:

z = (x-μ)/σ

z = 23.84 - 26/1.2

z = -1.8

Probability value from Z-Table:

P(x ≤ 23.84) = 0.03593

Converting to percentage

0.03593 × 100

= 3.593

Approximately to 2 decimal places = 3.59%

Answer:

1 and 6

Step-by-step explanation:

vertical angles = angles across diagonally which can either be 1 + 6 or 2 + 5, but only 1 + 6 is available

Answer:

4

Step-by-step explanation:

the greatest common factor is 4 (maybe brainliest?)

Answer: 4

Step-by-step explanation:

The factors of 64 are 64, 32, 16, 8, 4, 2, 1

The factors of 28 are 1, 2, 4, 7, 14 and 28

Therefore the GCF is 4

Hope This Helps!

Answer: A

Step-by-step explanation:

This series diverges by the limit test (some books may call it the nth term test).

Recall the limit test is the idea if the sequence doesn't converge to 0, then the series diverges.

In this case, the sequence converges to n/(7n) = 1/7 since all we are about are the leading terms when n gets very large.

After some very large n value, we're effectively adding on 1/7 or very close to it, each time. The infinite sum does not approach a fixed value. It keeps growing forever.

Answer:

60/4

Step-by-step explanation:

Hope this helps.

Answer:

1=43

2=16

3=202

4=38

Step-by-step explanation:

HOPE THIS HELPED:)

Answer:

1: 43 times 2 is 86

2: 16 times 2 is 32

3: 202 times 2 is 404

4: 38 times 1 is 38

Step-by-step explanation:

Answer:

(f + g)(x) = 4x - 2

Step-by-step explanation:

This problem is asking us to find the value of (f + g)(x).

This means that we will need to add the values of f(x) and g(x) together.

Therefore, the values that are defined for these two functions will simply be conjoined by addition.

Steps

Step 1: Place the value of f(x) in parentheses ⇒ (2x - 3). Then, do the same        for g(x) ⇒ (2x + 1).

Step 2: Combine any like terms. Start with the terms that are not constants (variables with coefficients) and then combine constants.

Step 3: Simplify as much as possible.

Work Shown

[tex]$\tex$ f(x) = 2x - 3, g(x) = 2x + 1\\\\(f + g)(x) \ $\rightarrow$ \ f(x) + g(x)\\\\(2x - 3) + (2x + 1)\\\\\boxed{(4x - 2)}[/tex]

Therefore, (f + g)(x) = 4x - 2.

Hope this helps!

Answer: I am pretty sure that 648 boxes is the answer.

Step-by-step explanation:

Answer:

number of youth admissions sold (x) = 74

number of adult admissions sold (y) = 32

Step-by-step explanation:

Let x = number of youth admissions

Let y = number of adult admissions

Given:

⇒ x + y = 106

Given:

⇒ 12.5x + 17.5y = 1485

Rewrite  x + y = 106 to make y the subject:

⇒ y = 106 - x

Substitute  y = 106 - x  into 12.5x + 17.5y = 1485 and solve for x:

⇒ 12.5x + 17.5(106 - x) = 1485

⇒ 12.5x + 1855 - 17.5x = 1485

⇒ 5x = 370

⇒ x = 74

Substitute found value of x into y = 106 - x to find y:

⇒ y = 106 - 74

⇒ y = 32

Solution:

[tex]\text{Area of square = L}^{2} \ \ \ \ \ \text{(L = Side)}[/tex]

[tex]\rightarrow \text{Area of square} = (3x^{2} - 5)^{2}[/tex]

Using the formula "(a + b)² = a² + 2ab + b²"

[tex]\rightarrow \text{Area of square} = (3x^{2} )^{2} - 2(3x^{2} )(-5) + 5^{2}[/tex]

Simplifying the LHS:

[tex]\rightarrow \text{Area of square} = (3x^{2} )(3x^{2} ) +(30x^{2} ) + 25[/tex]

[tex]\rightarrow \boxed{\text{Area of square} = 9x^{4} +30x^{2} + 25}[/tex]

Answer:

half a pound of butter

Step-by-step explanation:

a) Hungary had the lowest total medal count at 491

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b) It's a tie between China and the Soviet Union with 10 games per country.

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c) The mode is 27 since it is the most frequent value in the "total games" column. The mode is not necessarily the largest or smallest value. It's simply the value that shows up the most. It is possible to have more than one mode, but in this case 27 shows up the most times and no other value ties it. The value 27 shows up three times with the countries Italy, Sweden, and the United States

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d) The range is 875. To find the range, subtract the largest value (max) and the smallest value (min). So we have range = max - min = 1022 - 147 = 875.

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e) Answer: 4

List of countries that got more silver than bronze = {China, Great Britain, Soviet Union, United States}

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f)

List of countries that got more gold, silver, and bronze compared to Great Britain

{Germany, Soviet Union}

So only two other countries fit the criteria

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g)

Answer: The Soviet Union had the most medals per game (around 112 medals per game)

Work Shown:

For each row, divide the total medal count (in column F) by the number of games (in column B)

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h)

The country is likely not large enough to participate in enough games, especially when compared to larger countries. They may be specialized in just one or two events, or one or two categories of events.

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i)

Answer: Gold Medal (vs Soviet Union)

The United States has a total medal count of 2520. The closest competitor is the Soviet Union at 1122

To compare which category (gold, silver, bronze) the US did better at, we'll divide each corresponding medal count for the two countries. We'll have the Soviet Union's count as the numerator and the US as the denominator.

Gold = 440/1022 = 0.4305

Silver = 357/794 = 0.4496

Bronze = 325/704 = 0.4616

The lowest result is one where the US performed best at. The gold percentage is 43.05% meaning the Soviet Union's gold count is roughly 43.05% of the US gold count

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j)

Answer: Hungary, Italy, Sweden

Explanation:

You'll subtract the min and max for each row to get the range for each country. Sort the ranges from smallest to largest to see the top three countries that have the smallest range.

For example, Australia's highest medal count is at 187 (bronze) and lowest medal count at 147 (gold) so the range here is 187-147  = 40.

The various answers for each of the sections are answered below;

A) Looking at the table on the seventh column, we see that the lowest number of overall medals is 491 and it is gotten by the country Hungary.

B) Looking at the third column of the table, the least number of games a country participated is 10 and there are two countries with that number namely China and the Soviet Union.

C) Mode simply means the most frequently occurring number or event. In this case, under the third column, the most occurring number is 27 games.  

D) Formula for range is;

Range = Highest value - Least Value

Under the Gold Medal Column, highest value is 1022 and least value is 147. Thus;

Range = 1022 - 147

Range = 875.

E) Comparing the Silver and Gold gotten by each country, we can see that the countries that got more silver than bronze medals are; China, Great Britain, Soviet Union, United States. This is a total of 4 Countries.

F) Looking at the table, the only countries that got more gold, silver, and bronze respectively than Great Britain are Germany and Soviet Union.

G) For each country, to get their medals per game rate, we will just divide their medal total by the number of games in which they participated. Thus;

 Australia = 497/26 ≈ 19  

China = 543/10 ≈ 54

France = 713/28 ≈ 25

Germany = 937/24 ≈ 39

Great Britain = 847/28 ≈ 30

Hungary = 491/26 ≈ 19

Italy = 577/27 ≈ 21

Soviet Union = 1122/10 ≈ 112

Sweden = 494/27 ≈ 18

United States = 2520/27≈ 93

Country with most medals per game is Soviet Union with approximately 112 medals per game

H)  Two reasons why a country like Jamaica that is very good in athletics does not feature on the table is because;

- The country is not big enough to participate in many events

- The number of medals in Athletics is nowhere near the total for other events in the Olympic games.

I) The medal category in which the united states far outperformed its closest competitor is in the Gold medal category because the united states had a gold medal count of 2520 while the soviet union had 440 and thus the difference between both Gold medal counts will produce the highest range.

J) The 3 countries had the most evenly distributed number of Gold, Silver and bronze medals are;

Italy with a range of 13

Hungary with a range of 14

Great Britain with a range of 23

Read more at; https://brainly.com/question/21731862

Answer:

Standard addition

509

-106

9-6=3

509

-106

------

3

0-0=0

509

-106

-------

03

5-1=4

509

-106

-------

403

403 is your answer and to check it you can add 403+106=509

Please mark brainly!! Have a great day!

Answer:

7

Step-by-step explanation:

Answer:

hello

20 mn - 15 m

= 5 m ( 4 n - 3 )

Step-by-step explanation:

758

(if you don't have to use all the blocks)

757

750

708

754 etc

Answer:

2%

Step-by-step explanation:

We can multiply a decimal by 100 to turn it into a percent.

0.02 * 100 = 2%

Answer:

b

Step-by-step explanation:

if u do the math, everything makes sense.