are the ratios 2:1 and 20:10 equivalent

The account had an initial balance of $2,500 and compounded daily at an annual interest rate of 2.1% thus option (D) will be correct.

Compound interest is applicable when there will be a change in the principle amount after the given time period.

Given the function,

f(x) = 2,500(1 + 0.021/365)^365t

Since f(x) is the balance in the saving account so it will be composed of an interest.

Now,

The final amount of compound interest composed for the t time interval is given as ;

A = P[1 + R/n]^nT

Where n is the number of times interest is applied per time period.

By comparing,

A = f(x)

P = $2500

R = 2.1%

T = 365 (compounded daily)

Hence "The account had an initial balance of $2,500 and compounded daily at an annual interest rate of 2.1%".

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Given question is incomplete, the complete question is ;

The function f(x) = 2,500(1 + 0.021/365)365t models the balance in a savings account. Which statement accurately describes the account?

A.

The account had an initial balance of $2,500 and compounds monthly at an annual interest rate of 2.1%.

B.

The account had an initial balance of $2,500 and compounded yearly at an annual interest rate of 2.1%.

C.

The account had an initial balance of $2,500 and compounded daily at an annual interest rate of 0.21%.

D.

The account had an initial balance of $2,500 and compounded daily at an annual interest rate of 2.1%.

Answer:

The third one

Step-by-step explanation:

It cannot be the first 2 as the corners wouldn't line up. It cannot be the last one as B and R are not the same angles

Use the Distributive Property, which states the following:-

a(b+c)\(\rightarrow\)ab+ac

Simplify:-

3(y+4)-7

3y+12-7

Combine Like terms:-

\(\sf{3y+5}\)

Hope everything is clear; if you need any clarification/explanation, kindly let me know, and I'll comment and/or edit my answer :)

9514 1404 393

Answer:

Step-by-step explanation:

Let w represent the width. Then the length is 2w-5, and the perimeter is ...

  P = 2(L+W)

  44 = 2((2w-5) +w)

  44 = 6w -10

  54 = 6w

  9 = w

  2(9) -5 = 13 = length

The length of the rectangle is 13 meters; the width is 9 meters.

Answer:

if its a 90 degree angle u will  say 90 -46 to get m<2

if is a 180 degree angle u will say 180-46 to get m<2

hope this helped :) brainliestn pls

Answer:

8.2 minutes

So 13 miles would take you roug.hly 8.2 minutes... so going the average speed limit would get you there very

Step-by-step explanation:

Answer:

11 units from the origin

Step-by-step explanation:

When graphing the line 4x-34=10, it intersects the x-axis 11 units from the origin.

Answer:

Step-by-step explanation:

degree = sum of the exponents of the the letters

x/4 = when an exponent isn’t written, its degree is 1 = 1

-7 xy = (1+1) = 2

21 = there aren’t letters, so the degree is 0

4 x²y = (2+1) = 3

Answer:

1) 9x

2) 3b

3) 3m

4) 5a

5) 7x

6) 3a + 5b

7) 9x - 4

8) 2b + m

9) 13a + b + 6c

10) 9b + 1

11) 7p

12) 2a + b -10

Step-by-step explanation:

With  the empirical rule, we can estimate that the number of farms in the sample whose land and building values per acre are between $1100 and $1500 is approximately 50 farms.

The empirical rule (also known as the 68-95-99.7 rule) states that for data sets with a bell-shaped distribution:

68% of the data falls within one standard deviation of the mean.

95% of the data falls within two standard deviations of the mean.

99.7% of the data falls within three standard deviations of the mean.

Using this rule, we can estimate the number of farms whose land and building values per acre are between $1100 and $1500 as follows:

The mean value of land and buildings per acre from the sample of farms is $1300, and the standard deviation is $200.

$1100 is 1.5 standard deviations below the mean:

($1100 - $1300) / $200 = -1.0.

$1500 is 1 standard deviation above the mean:

($1500 - $1300) / $200 = 1.0.

Therefore, we can estimate that approximately:

68% of the farms in the sample have land and building values per acre between $1100 and $1500 plus or minus one standard deviation of $200. This is equivalent to approximately 50 farms, which is 68% of the sample size of 74 farms.

95% of the farms in the sample have land and building values per acre between $900 and $1700 plus or minus two standard deviations of $200. This is equivalent to approximately 70 farms, which is 95% of the sample size of 74 farms.

99.7% of the farms in the sample have land and building values per acre between $700 and $1900 plus or minus three standard deviations of $200. This is equivalent to approximately 73 farms, which is almost the entire sample size of 74 farms.

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Note: The full question is:-

The mean value of land and buildings per acre from a sample of farms is $1300, with a standard deviation of $200. The data set has a bell-shaped distribution. Assume the number of farms in the sample is 74. Use the empirical rule to estimate the number of farms whose land and building values per acre are between $1100 and $1500.

There is no real Value of k that will satisfy the equation 2x² - x + 8k = 0 if a and 1/a are the roots of the polynomial.

(i) Zeroes of the polynomial:

In the graph, we have two points where the curve intersects the x-axis: one is at (-1,0), and the other is at (2,0).The corresponding values of x are -1 and 2, and they are the zeros of the polynomial. Therefore, the zeros of the polynomial are -1 and 2.(ii) Forming the quadratic polynomial:

From the graph, we can observe that the curve intersects the y-axis at the point (0,5), implying that the constant term of the polynomial is 5.

We can use the formula to find the quadratic polynomial if we have two zeros and one constant term. Thus, the quadratic polynomial is given by:(x + 1)(x - 2) = x² - x - 2x + 2 = x² - 3x + 2. Therefore, the quadratic polynomial is x² - 3x + 2.(iii) Value of k if a, 1/a are the zeroes of the polynomial 2x² - x + 8k:

We know that a and 1/a are the zeroes of the polynomial 2x² - x + 8k. Therefore, we can find the sum and product of the roots and use them to determine the value of k.

The sum of the roots is a + 1/a, and their product is a(1/a) = 1. Using the sum and product of the roots, we can write: a + 1/a = 1/2 (1/2 is the coefficient of x)Substituting a with 1/a in the above equation, we get: 1/a + a = 1/2Multiplying both sides of the equation by 2a, we get: 2 + 2a² = a

Simplifying the equation, we get: 2a² - a + 2 = 0Multiplying both sides by 2,

we get: 4a² - 2a + 4 = 0Dividing both sides by 2, we get: 2a² - a + 2 = 0

Using the quadratic formula, we get: a = [1 ± √(1 - 4(2)(2))]/(2(2))

Simplifying, we get: a = [1 ± √(-31)]/4Since the discriminant of the quadratic formula is negative, the roots are imaginary. Therefore, there is no real value of k that will satisfy the equation 2x² - x + 8k = 0 if a and 1/a are the roots of the polynomial.

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Answer:

6 donuts

Step-by-step explanation:

total donut = 6 + 8 + 4

= 18

\( \frac{1}{3} \times 18 = 6\)

If the random variable x is normally distributed with a mean equal to 0.45 and a standard deviation equal to 0.40, then P(x ≥ .75) is 0.9227.

A z-score describes the position of a raw score in terms of its distance from the mean when measured in standard deviation units. The z-score is positive if the value lies above the mean and negative if it lies below the mean.

Given the problem above, we need to find what the z-score is when P(x ≥ .75).

The formula for calculating a z-score is given by:

\(Z=\dfrac{\text{x}-\mu}{\sigma}\)

Where:

Now,

\(Z=\dfrac{\text{x}-\mu}{\sigma}\)

\(Z=P(\text{x} \geq 0.75) = \huge \text(\dfrac{P(Z \geq (0.75 - 0.45)}{0.40}\huge \text)\)

\(Z= P\huge \text (\dfrac{Z \geq0.30}{0.40}\huge \text)\)

\(Z=P(Z \geq 0.75) = 1 - P(Z < 0.75)\)

\(Z=1 - 0.077337\)

\(Z\thickapprox 0.9227\)

Therefore, the z-score of P(x ≥ .75) is 0.9227.

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Answer:

A reflection, a rotation, and a translation will prove that shape 2 is congruent to shape 1.

Answer:

A reflection, a rotation, and a translation will prove that shape 2 is congruent to shape 1.

Step-by-step explanation:

Answer:

f(x) = -5/9x - 11/9

Step-by-step explanation:

Consider f(x) = y

so if x = -4 => y = 1 and x = 5 => y = -4

so (-4,1) and (5,-4) should be on the same linear equation

Slope m = (y2 - y1)/(x2 - x1)

m = (-4 - 1)/(5 -  -4) = (-5)/(9) = -5/9

y = mx + b

given m = -5/9, x = -4, y = 1

1 = -5/9(-4) + b

b = 1 - 20/9

b = 9/9 - 20/9 = -11/9

so y = -5/9x - 11/9

or f(x) = -5/9x - 11/9

es, in maggrowers and reads to think critically when                                                        they are provided with                                                                                             urveys and student, the validity of these reports should                                           be exas reports oftentimes                                                                                              Remember to cosider the following :                                                                   Was the survey based on a random sample.                                                     on a controlled experimant with individuals randomly                                       assigned to a contral                                                                                                      What was the size of                                                                                                                      been introduced in conducting the survey.                                                                        Could bais have                                                                                                              Was the study based on                                                                                                Can a caurse -and- effect realationship be deduced from                                                      the data.                                                                                                                      group and to atreatment group                                                                           Wether the conclusion presented in                                                                    the following report is valid                                                                                   New Beverage Leads to Weight loss                                                                                 The Regency weight Loss Center Wants to promote                                                      their new b                                                                                                                                     which they claim will increase an individ                                                                   weight loss result dramaticaly with regular use                                                             Researchers tracked.                                                                                         50 of these weight loss client, each of whom                                                  ceived a free box of these beverages to tray for a 60                                                day. They divided The clients into tow groups those                                                 ank 8 ounces of the beverage before each meal                                                                                       and those who did not consume any . At the and of the                                                                         60 days, the                                                                                                                    loss of the client and found that those group                                                                                                                                                                                              

Answer:

something

Step-by-step explanation:

sry i need answers

Answer:

y= 2x -6

Step-by-step explanation:

The slope-intercept form of a line is given by y= mx +c, where m is the slope and c is the y-intercept.

To find the equation of a line, two information are needed:

Given that the slope is 2, m= 2. Substitute m= 2 into y= mx +c:

y= 2x +c

Let's find the coordinate in which the line intersects the line 2x -3y= 6. Point of intersection refers to the point at which two lines cuts through each other i.e., the point lies on the graph 2x -3y= 6 and the line of interest.

2x -3y= 6

When x= 3,

2(3) -3y= 6

6- 3y= 6

3y= 6 -6

3y= 0

Divide both sides by 3:

y= 0

Coordinate that lies on the graph is (3, 0).

Substitute the point into the equation and solve for c:

y= 2x +c

When x= 3, y= 0,

0= 2(3) +c

0= 6 +c

c= -6

Substitute the value of c back into the equation:

Thus, the equation of the line in slope-intercept form is y= 2x -6.

Additional:

For a similar question on slope-intercept form, do check out the following!

Answer:

B.   3x = 90

Step-by-step explanation:

m<QPS + m<RPS = m<QPR

Let m<RPS = x

Then m<QPS = 2x

2x + x = 90

3x = 90

Answer: B.   3x = 90

To make this problem solvable, I have replaced the 't' in the second equation for a 'y'.

Answer:

x = -9

y = 2

Step-by-step explanation:

Solve the system:

2x + 3y = -12       [1]

2x + y = -16       [2]

Subtracting [1] and [2]:

3y - y = -12 + 16

2y = 4

y = 4/2 = 2

From [1]:

2x + 3(2) = -12

2x + 6 = -12

2x = -18

x = -18/2 = -9

Solution:

x = -9

y = 2

It will take approximately 28.67 years for Talwar's investment of R5,800 to grow to R26,100 at a simple interest rate of 12.2% per annum.

To calculate the number of years it will take for Talwar's investment to grow to R26,100 at a simple interest rate of 12.2% per annum, we can use the formula for simple interest:

Simple Interest = Principal × Rate × Time

Given that the principal (P) is R5,800, the rate (R) is 12.2% (or 0.122 as a decimal), and the desired amount (A) is R26,100, we need to find the time (T) it will take. Rearranging the formula, we get:

Time = (Amount - Principal) / (Principal × Rate)

Plugging in the values, we have:

Time = (R26,100 - R5,800) / (R5,800 × 0.122)

= R20,300 / R708.6

≈ 28.67 years

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The measure of angle QRS in triangle QRS is found as 56.8 degrees.

An angle is  formed when two straight lines or rays meet at a common endpoint.

We know  that the sum of the angles in a triangle is  180 degrees.

In triangle QRS,  

angle RSQ = 48.2 degrees

angle SQR = 75 degrees.

48.2 + 75 + QRS  = 180 (sum of angles in a triangle)

123.2 + QRS  = 180

QRS  = 180 - 123.2

QRS  = 56.8

In conclusion, a triangle is described as a polygon with three edges and three vertices.

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The best assessment of the linearity of the relationship between the day of the month and account balance would be "Because the residual plot has no obvious pattern, and the scatterplot appears linear, it is appropriate to use the line of best fit to predict the account balance based on the day of the month."The correct answer is option C.

When assessing linearity, it is important to examine both the scatterplot and the residual plot. The scatterplot is used to visualize the relationship between the variables, while the residual plot helps us assess the appropriateness of a linear model by examining the pattern of the residuals (the differences between observed and predicted values).

If the scatterplot appears reasonably linear, it suggests that there is a linear relationship between the variables. In this case, since the scatterplot appears linear, it supports the use of a linear model to predict the account balance based on the day of the month.

Furthermore, the residual plot is used to check for any patterns or systematic deviations from the line of best fit. If the residual plot exhibits no obvious pattern and the residuals appear randomly distributed around zero, it indicates that the linear model captures the relationship adequately.

Therefore, if the residual plot shows no obvious pattern, it provides further evidence in favor of using the line of best fit to predict the account balance based on the day of the month.

In conclusion, when the scatterplot appears linear and the residual plot shows no obvious pattern, it is appropriate to use the line of best fit to predict the account balance based on the day of the month.

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Answer:

person above

Step-by-step explanation:

the obvious

Answer:

3 x 10⁶

Step-by-step explanation:

Sixth power of ten means 10 is raised to a power of 6. This means 6 will be in the exponent of 10 as 10⁶.

Answer:

The way this would be written out would look like this: 3x10^6. Hope this helps!

Answer:

1.  10 + 2x

2.    substitute

3.   simplify

4. order of operations

5. 17

Step-by-step explanation:

i did it myself

Check the picture below.

\(\textit{Law of Sines} \\\\ \cfrac{a}{\sin(\measuredangle A)}=\cfrac{b}{\sin(\measuredangle B)}=\cfrac{c}{\sin(\measuredangle C)} \\\\[-0.35em] ~\dotfill\\\\ \cfrac{h}{\sin(157^o)}=\cfrac{240}{\sin(6^o)}\implies h\sin(6^o)=240\sin(157^o) \\\\\\ h=\cfrac{240\sin(157^o)}{\sin(6^o)}\implies h\approx 897.1~cm\)

Make sure your calculator is in Degree mode.

Explanation:

The angles do not need to be touching, or adjacent, for them to be supplementary. They simply need to add to 180 degrees.

We have 70+110 = 180, so that proves the angles are supplementary. They can be rearranged to glue together to form a straight angle.

If the angles were supplementary and adjacent, then we can consider them as a linear pair. This is possibly what Suzie might be thinking about.

Answer:

b = -5

Step-by-step explanation:

Let's figure this equation, step by step.

-3b + 8 = 38 + 3b

Step 1: Subtract 3b from both sides. This cancels out the addition by 3b.

-3b + 8 - 3b = 38

Step 2: Combine -3b and -3b to get -6b.

-6b + 8 = 38

Step 3: Subtract 8 from both sides. This cancels out the addition by 8.

-6b = 38 - 8

Step 4: Subtract 8 from 38 to get 30.

-6b = 30

Step 5: Divide both sides by -6. This undoes the multiplication by -6.

b = 30/-6

Step 6: Divide 30 by -6 to get -5.

b = -5

Let's check our work by substituting -5 for b in the equation above.

-3(-5) + 8 = 38 + 3(-5)

15 + 8 = 38 + (-15)

23 = 23

Both sides are the same, so b = -5.