To be able to buy a new computer, Yoko decides to save for 5 years. She opens a savings account with $400. The account pays simple interest at an annual rate of 2%. She doesn't make any more deposits.
(a) How much total interest will Yoko earn?
(b) What will the total amount in the account be (including interest)?

The equation for an arithmetic sequence will be;

⇒ T(n) = a + (n - 1) d

Where, 'a' is first term of an arithmetic sequence, 'd' is common difference and 'n' is number of terms.

An arithmetic sequence is the sequence of numbers where each consecutive numbers have same difference.

Given that;

The sequence is an arithmetic sequence.

Now,

Since, The sequence is an arithmetic sequence.

Let 'a' is first term of an arithmetic sequence, 'd' is common difference and 'n' is number of terms.

Then, The nth term of an arithmetic sequence is,

⇒ T(n) = a + (n - 1) d

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Answer:

453

Step-by-step explanation:

9514 1404 393

Answer:

  20 g/cm³

Step-by-step explanation:

The volume of the prism is the product of the area of its triangular base and its height. The triangle area is ...

  A = 1/2bh

  A = 1/2(16 cm)(8 cm) = 64 cm²

The height of the prism is 20 cm, so its volume is ...

  V = Bh = (64 cm²)(20 cm) = 1280 cm³

The density of the ingot is the ratio of its mass to its volume.

  ρ = M/V = (25,600 g)/(1280 cm³) = 20 g/cm³

The density of the ingot is 20 g/cm³.

Answer:

To find the volume of the shipping box in cubic feet, we need to convert the dimensions from inches to feet and then calculate the volume.

Given:

Length = 36 inches

Width = 24 inches

Height = 18 inches

Converting the dimensions to feet:

Length = 36 inches / 12 inches/foot = 3 feet

Width = 24 inches / 12 inches/foot = 2 feet

Height = 18 inches / 12 inches/foot = 1.5 feet

Now, we can calculate the volume of the box by multiplying the length, width, and height:

Volume = Length * Width * Height

Volume = 3 feet * 2 feet * 1.5 feet

Volume = 9 cubic feet

Therefore, the shipping box can hold 9 cubic feet.

Step-by-step explanation:

First convert the units because it's asking for the cubic feet but they give us the measurements in inches.

To convert inches to feet we divide the number by 12.

36 ÷  12 = 3

24 ÷  12 = 2

18 ÷ 12 = 1.5

Now to find the volume, we multiply it all together.

3 × 2 × 1.5 = 9

It can hold 9 cubic feet.

Hope this helped!

Answer:

True False True

Step-by-step explanation:

ope this helps! :)

Brainliest pls?

Answer:

I am almost completely sure its 4.

Step-by-step explanation:

I dont mind brainiests by the way

Answer:

0.0036 !

Step-by-step explanation:

Give brainliest please :)

0.00359, when rounded to nearest thousandth results in 0.0036.

Rounding off means a number is made simpler by keeping its value intact but closer to the next number. It is done for whole numbers, and for decimals at various places of hundreds, tens, tenths, etc. Rounding off numbers is done to preserve the significant figures.

Given, value to be rounded is : 0.00359

Since, 1 ten thousands = 10000 (104). So, 1 ten thousandth = 0.0001 (10-4)

Therefore, while rounding to nearest ten thousandth, we round the fractional part(or decimal part) upto 4 digits.

Here, In 0.00359, the digit after ten thousandth place is 9, which is (equal to or greater) than 5. So, 5 can be rounded to 6.

Hence, finally, 0.00359, when rounded to nearest thousandth results in 0.0036

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Answer:

See the image for marked congruences.

1. JM ≅ LM                           |      Given

2. △JML is isosceles          |      definition of isosceles

3. ∠MJL ≅ ∠MLJ                  |       isosceles triangle theorem

4. m∠MJL = m∠MLJ             |      definition of ≅

5. JK ≅ LK                            |      Given

6. △JKL is isosceles           |      definition of isosceles

7. m∠KJL = m∠KLJ              |       isosceles triangle theorem

8. m∠MJL + m∠KJM = m∠KJL                         |  adjacent angle theorem

9. m∠MLJ + m∠KMJ = m∠KLJ                         |  adjacent angle theorem

10. m∠MJL + m∠KJM = m∠MLJ + m∠KLM      |   transitive property of =

11. m∠MJL + m∠KJM = m∠MJL + m∠KLM      |   substitution

12. m∠KJM = m∠KMJ          |        subtraction

13. ∠KJM ≅ ∠KLM                |        definition of ≅

14. △KJM ≅ △KLM             |        SAS theorem

15. ∠JKM ≅ ∠LKM                |        CPCTC

16. KM bisects ∠JKL            |        definition of bisector

Answer: \(\dfrac{11}{36}\)

Step-by-step explanation:

Total outcomes for rolling a pair of six-sided dice n(S)= 6 x 6 =36

Let A be the event that the first die is one and B be the event that the sum of the dice is eight.

A = {(1,1), (1,2), (1,3), (1,4), (1,5), (1,6)}

P(A)= \(=\dfrac{n(A)}{n(S)}=\dfrac{6}{36}\)

B= {(2,6), (6,2), (3,5), (5, 3), (4,4)}

P(B)= \(=\dfrac{n(B)}{n(S)}=\dfrac{5}{36}\)

A ∩ B = Ф

P(A ∩ B)=0

P(A or B)= P(A)+P(B)+P(A∩ B)

\(=\dfrac{6}{36}+\dfrac{5}{36}+0\\=\dfrac{11}{36}\)

Hence, P(A or B) = \(\dfrac{11}{36}\)

Answer:

3 final songs

Step-by-step explanation:

Answer: There will be 3 songs on the final CD.

Step-by-step explanation: The band expects to put 12 songs on their next CD. They write and record 25% more songs than they expect, which means they wrote and recorded 12 + (0.25 x 12) = 15 songs. During the editing process, 80% of the songs are removed. 80% of 15 is (0.80 x 15) = 12 songs. Subtracting the removed songs from the recorded songs, we get 15 - 12 = 3 songs that will be on the final CD. Therefore, there will be 3 songs on the final CD.

It have get \(24\) customer of them to sign up for the new service feature.

Given:

  Sign up percentage is \(25\) %.

    \(96\) customer.

To find the solution by,

Multiply customer and sign up

   \(=96*25\)%

   \(=96*\frac{25}{100} \\\\=2400/100\\\\=24\)

Thus, it have get \(24\) customer of them to sign up for the new service feature.

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Answer:

The algebraic expression has one constant, 10.2, which is a number by itself. The variables, which are letters that stand for unknown values, are x and y. The coefficients, which are numbers that are multiplied to the variables, are

-1, -1/2, and 1. The terms that have an x are like terms.

Step-by-step explanation:hope this helps

Answer:

Thanks man

Step-by-step explanation:

Answer:

thx

Step-by-step explanation:

Answer:

26 mm

Step-by-step explanation:

Δcda ≅  Δxyz

If cd=26 mm then xy=cd= 26 mm

Answer:

135 meters

Step-by-step explanation:

172 minus 37 equals 135

Answer:

45 Yellow marbles

Step-by-step explanation:

6 x 9 = 54

5 x 9 = 45

I hope it helped

Copying the data set into another program allows you to leverage the capabilities of that program for Statistical analysis.

The provided data set can be copied into another program, such as a spreadsheet or a statistical software program, to perform various data analysis tasks. Let's explore some common operations that can be performed using the data set.

1. Descriptive Statistics: By copying the data set into a spreadsheet or statistical software, you can calculate various descriptive statistics, such as the mean, median, mode, standard deviation, and range of the data. These statistics provide insights into the central tendency, variability, and distribution of the data.

A

1   4

2   8

3   9

4   5

5   2

6   7

7   7

8   5

9   8

2. Data Visualization: Once the data set is copied, you can create visualizations to better understand the data. This can include bar charts, histograms, line plots, or box plots, depending on the nature of the data and the insights you want to gain.

3. Data Manipulation: Copying the data set into a spreadsheet allows you to manipulate and transform the data as needed. You can perform operations like sorting, filtering, grouping, and calculating new variables based on existing ones. This enables you to extract meaningful information from the data set.

4. Statistical Analysis: If you are using statistical software, you can conduct advanced statistical analyses on the data set. This may involve regression analysis, hypothesis testing, analysis of variance (ANOVA), or clustering techniques, depending on the specific research question or objective.

5. Data Integration: If you have additional data sets or variables related to the given data set, copying it into a program allows you to merge or join different data sets, thereby enriching the analysis and providing a more comprehensive understanding of the data.

Overall, copying the data set into another program empowers you to perform a wide range of data analysis tasks, enabling you to explore, understand, and draw meaningful insights from the data.

In summary, copying the data set into another program allows you to leverage the capabilities of that program for statistical analysis, calculations, and visualizations, enabling you to gain deeper insights and draw meaningful conclusions from the data.

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Answer:

The number of private banks sharply increased.

Step-by-step explanation:

Answer:

0.99804932311

Step-by-step explanation:

We solve this using binomial probability

Binomial probability formula

= nCx × p^x × q^n - x

= n!/(n - x)! x!

Where n = Number of trials = 25 samples

x = Number of successes = 23

p = probability of success = 99% = 0.99

q = probability of failure = 1 - p

= 1 - 0.99

= 0.01

Hence,

p(at least 23 are properly filled) = p(X ≥ x)

= [25!/(25 - 23)! × 23! × 0.99^23 × 0.01^25 - 23 ]+ [25!/(25 - 24)! × 24! × 0.99^24 × 0.01^25 - 24 ]+ [25!/(25 - 25)! × 23! × 0.99^25 × 0.01^25 - 25]

= [300 × 0.99 ^23 × 0.01^2] + [25 × 0.99^24 × 0.01^1] + [1 × 0.99^25 + 0.01^0]

= 0.0238084285 + 0.1964195352 + 0.7778213594

= 0.99804932311

Answer: 9.2 x 105

Step-by-step explanation:

A function is an expression, rule, or law that establishes the relationship between two variables (the dependent variable).

Domain of \($\sqrt{x+18}-14:\left[\begin{array}{cc}\text { Solution: } & x \geq-18 \\ \text { Interval Notation: } & {[-18, \infty)}\end{array}\right]$\)

Range of \($\sqrt{x+18}-14:\left[\begin{array}{cc}\text { Solution: } & f(x) \geq-14 \\ \text { Interval Notation: } & {[-14, \infty)}\end{array}\right]$\)

Axis points of interception \($\sqrt{x+18}-14: \quad$\) X Intercepts: \($(178,0), \mathrm{Y}$\) Intercepts: \($(0,3 \sqrt{2}-14)$\)

Asymptotes of \($\sqrt{x+18}-14$\) : None

Extreme Points of \($\sqrt{x+18}-14$\) : Minimum (-18,-14) .

Domain of \($(x+14)^2-18:\left[\begin{array}{cc}\text { Solution: } & -\infty < x < \infty \\ \text { Interval Notation: } & (-\infty, \infty)\end{array}\right]$\)

Range of\($(x+14)^2-18:\left[\begin{array}{cc}\text { Solution: } & f(x) \geq-18 \\ \text { Interval Notation: } & {[-18, \infty)}\end{array}\right]$\)

Axis points of interception \($(x+14)^2-18: \quad$\) X Intercepts: \($(3 \sqrt{2}-14,0),(-3 \sqrt{2}-14,0)$\), Y Intercepts: (0,178)

Vertex of \($(x+14)^2-18: \quad$\) Minimum (-14,-18)

In mathematics, a function is an expression, rule, or law that establishes the relationship between two variables (the dependent variable). Mathematics is rife with functions, and the sciences depend on them for constructing physical relationships.

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The estimate of 179% of 41 by rounding is about 73.19.

To find this estimate, first convert the percentage to a decimal by dividing it by 100: 179/100 = 1.79. Then, multiply this decimal by 41: 1.79 * 41 = 73.39.

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Answer:

The hypothesis test is right-tailed

Step-by-step explanation:

To identify a one tailed test, the claim in the case study tests for the either of the two options of greater or less than the mean value in the null hypothesis.

While for a two tailed test, the claim always test for both options: greater and less than the mean value.

Thus given this: H0:X=10.2, Ha:X>10.2, there is only the option of > in the alternative claim thus it is a one tailed hypothesis test and right tailed.

A test with the greater than option is right tailed while that with the less than option is left tailed.

Answer:

Please help with questions on my profile somebody

Step-by-step explanation:

The expressions are simplified to;

1. 72n² + 63n

2. 18t - 18t²

3. -18b² - 18b

4. -56r - 21r²

5. -6m + 9m²

Algebraic expressions are simply described as expressions that are known to consist of coefficients of variables, variables, constants, terms, and factors.

These algebraic expressions are also made up of mathematical or arithmetic operations.

These operations are;

From the information given, we have;

1. -9n (-8n -7)

expand the bracket

72n² + 63n

2. -2t(-9 + 9t)

expand the bracket

18t - 18t²

3. -3b(6b + 6)

expand the bracket

-18b² - 18b

4. -7r(8 + 3r)

expand the bracket

-56r - 21r²

5. 3m(-2 + 3m)

expand the bracket

-6m + 9m²

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Answer:

x = 16

Step-by-step explanation:

Opposite sides are equal in a parallelogram

AD = BC

5x - 12 = 3x + 20

5x - 3x = 20 + 12

2x = 32

x = 32/2

x = 16

The term "isometric" has the Greek roots "isos," which means "same," and "metron," which means "measure." The definition of an isometric transformation is one in which the original figure and its transformed equivalent have the same shape, size, and orientation.

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The probability of drawing a king from a standard deck of 52 cards is 1/13.

In a standard deck of 52 playing cards, there are four kings: the king of hearts, the king of diamonds, the king of clubs, and the king of spades.

To find the probability of drawing a king, we need to determine the ratio of favorable outcomes (drawing a king) to the total number of possible outcomes (drawing any card from the deck).

The total number of possible outcomes is 52 because there are 52 cards in the deck.

The favorable outcomes, in this case, are the four kings.

Therefore, the probability of drawing a king is given by:

Probability = (Number of favorable outcomes) / (Number of possible outcomes)

= 4 / 52

= 1 / 13

Thus, the probability of drawing a king from a standard deck of 52 cards is 1/13.

This means that out of every 13 cards drawn, on average, one of them will be a king.

It is important to note that the probability of drawing a king remains the same regardless of any previous cards that have been drawn or any other factors.

Each draw is independent, and the probability of drawing a king is constant.

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EXPLANATION

Let's see the facts:

Sunrise temperature = 25°

Rate= 5°/hour

So, the temperature after x hours is given by the expression:

Temperature after x hours= Sunrise temperature + Number of hours*Rate

Substituting terms:

T= 25 + 5x

Now, with this relationship we can build the graph:

Answer: According to Newton s Second Law of Motion, also known as the Law of Force and Acceleration, a force upon an object causes it to accelerate according to the formula net force = mass x acceleration. So the acceleration of the object is directly proportional to the force and inversely proportional to the mass.

Step-by-step explanation:

If F = ma where m is the objects mass. if a 12-newton force causes the object to accelerate to 3 m/s2 , then the mass in kg of the objects is 4 kg

When a body tends to modify or change the state by an external cause, it is called Force.

Given:

F=ma

Where,

F = Force (N)

m = mass (kg)

a = acceleration (m/s²)

If

F = 12-Newton

m = 3 m/s²

a = ?

F = ma

12 = m × 3

12 = 3m

divide both sides by 3

m = 12/3

m = 4 kg

Therefore, the mass in kg of the objects is 4 kg

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The square of a binomial, when the binomials are subtracted, is defined as follows:

(a - b)² = a² - 2ab + b².

When the two binomials are added, the square is given as follows:

(a + b)².

Expanding the square, we have that:

(a + b)² = (a + b) x (a + b).

(a + b)² = a² + ab + ab + b².

(a + b)² = a² + 2ab + b².

Which is the result presented in this problem.

Now, when the binomial has a minus sign, involving a subtraction, the pattern is obtained as follows:

(a - b)² = (a - b) x (a - b).

(a - b)² = a² - ab - ab + b².

(a - b)² = a² - 2ab + b².

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