Consider two​ investments, one earning simple interest and one earning compound interest. If both start with the same initial deposit​ (and you make no other deposits or​ withdrawals) and earn the same annual interest​ rate, how will the balance in the simple interest account compare to that of the compound​ interest?
A. The account with simple interest will have the same balance as the account with compound interest because the annual interest rates are equal.
B. The account with simple interest will have the same balance as the account with compound interest because the initial deposits are equal.
C.The account with simple interest will have a greater balance than the account with compound interest because compound interest is interest paid only on the original investment.
D.The account with simple interest will have a smaller balance than the account with compound interest because the more times interest is applied to an​ investment, the smaller the balance.
E. The account with simple interest will have a smaller balance than the account with compound interest because compound interest is interest paid both on the original investment and on all interest that has been added to the original investment.

Answer:

40.14

Step-by-step explanation:

Answer: 40.14

Step-by-step explanation:

40.14

let the unit place digit be x and tens place digit be y, therefore, the original number is 15.

then the two-digit number will be  10y + x

and the number formed by interchanging the unit place and tens place digits will be 10x + y

according to the first condition given in the qs i.e, the sum of two digits in the number is 6 that  is

x + y = 6

Also given that, if the original number is subtracted from the number formed by interchanging the digits, the result is 36.

i.e 10y +x - 10x -y = 36

     9(y-x) = 36

 y-x = 36/9

y-x = 4  and x+y = 6

solving both the above equations we will get ,

x= 1  and y = 5

since original number is 10y + x = 10(1) + 5

therefore, the original number is 15.

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The number of bacteria that represents y at the end of x days will be [tex]y=(500)(2)^{x}[/tex]

As per the given data on the day 0, there are 500 bacteria in a dish.

The number of bacteria that doubles every day after that.

Here we have to determine that how many bacteria which represent y are there after x number of days.

Therefore, the number of bacteria after every day will form a geometric progression (G.P) with the first term as a = 500 and the common ratio as r = 2

Therefore [tex]\mathrm{a}_3=\mathrm{ar}^2=(500)(2)^2=2000[/tex]

Therefore, the number of bacteria at the end of 2nd day will be 480

[tex]$a_5=a^4=(500)(2)^4=8000[/tex]

And [tex]$\mathrm{a}_{\mathrm{n}+1}=\mathrm{ar}^{\mathrm{n}}[/tex]

[tex]$\mathrm{a}_{\mathrm{n}+1}[/tex] represents y and n represents x

[tex]y=(500)(2)^{\mathrm{x}}[/tex]

Thus the number of bacteria at the end of x days will be [tex](500)(2)^{x}$=y[/tex]

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Answer:

A

Step-by-step explanation:

The answers you have are in (x, y) form

Looking at first answer, -3 is the x and -1/2 is the y. We plug in the -3 as the x in each equation and hope to get -1/2.

So for (-3, -1/2)

y = 1/2(-3) + 1 = -3/2 + 1 = -1/2

Now the other equation

y = 3/2(-3) + 4 = -9/2 + 4 = -1/2

Since we got -1/2 as both. which is also the Y coordinate, this must be the answer. If it wasn't, we could keep going through the answer choices doing the same method.

to get the slope of any straight line, we simply need two points off of it, let's use those two in the picture below.

[tex](\stackrel{x_1}{-2}~,~\stackrel{y_1}{-5})\qquad (\stackrel{x_2}{4}~,~\stackrel{y_2}{3}) \\\\\\ \stackrel{slope}{m}\implies \cfrac{\stackrel{\textit{\large rise}} {\stackrel{y_2}{3}-\stackrel{y1}{(-5)}}}{\underset{\textit{\large run}} {\underset{x_2}{4}-\underset{x_1}{(-2)}}} \implies \cfrac{3 +5}{4 +2} \implies \cfrac{ 8 }{ 6 } \implies \cfrac{4 }{ 3 }[/tex]

The measure of the angle is 54 degrees.

A triangle is a three-sided polygon that consists of three edges and three vertices.

Let the measure of the angle "x".

The complement of the angle is 90 - x.

The supplement of the complement is 180 - (90 - x) = 90 + x.

The supplement of the angle is 36 less than the supplement of the complement of the angle, so 90 + x - 36 = x.

90 + x - 36 = x

54 = x

So the measure of the angle is 54 degrees.

Hence, the measure of the angle is 54 degrees.

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Answer:

166 1/2 in²

Step-by-step explanation:

The area of the quilt block= area of rectangel ABCD + area of right angled triangle AEF

=length*breath + 1/2*base* height

=16*9+1/2*6*7.5

=166.5 which also means 166 1/2 in²

Answer:

Mohamed: 8 objectives

Zayed: 6 objectives

Answer:

B

Step-by-step explanation:

Answer:

A. 37/100

Step-by-step explanation:

1. common denominator. so make 3/10 into 30/100.

2. subtract 30/100 from 67/100.

the answer is 37/100

According to the information, the correct way to graph this sequence is by putting the numbers 1, 2, 3, 4 as x coordinates... Then the coordinates would be (1,12), (2,6), (3,3 ) and (4,1).

To graph the sequence we must establish an additional coordinate for each of the values. In this case we can put the value of 1, 2, 3, 4...

According to the above, the coordinates would be as follows:

Additionally, this graph would be a geometric sequence because it expresses values that are decreasing and is not a constant.

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A 95% confidence interval is wider than a 90% confidence interval and so provides a better estimate of the population mean.

A confidence interval represents the range of values within which the population mean is estimated to lie with a certain degree of confidence. The wider the interval, the more certain we can be that the population mean lies within it. In other words, a 95% confidence interval provides a better estimate of the population mean than a 90% interval because it is wider and therefore more likely to contain the true population mean.

This increased accuracy is particularly important for the city in their budget planning as it allows them to make more informed decisions based on a more reliable estimate of their expected daily income from parking fees.

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Answer:

The original data set would be:

57, 58, 61, 66, 71, 77, 82, 91, 95, 100, 102, 105

So to find the range you would do:

105 - 57 which equals 48.

So the range for the original data set would be 48.

The new data set adding 80.8:

57, 58, 61, 66, 71, 77, 80.8, 82, 91, 95, 100, 102, 105

So to find the range for the new data set you would do:

105 - 57 which would still equal 48.

So the range for the new data set would be 48.

The range for the original and new data set stayed the same.

Step-by-step explanation:

You're welcome.

Answer:

The original data set would be:57, 58, 61, 66, 71, 77, 82, 91, 95, 100, 102, 105So to find the range you would do:105 - 57 which equals 48.So the range for the original data set would be 48.The new data set adding 80.8:57, 58, 61, 66, 71, 77, 80.8, 82, 91, 95, 100, 102, 105So to find the range for the new data set you would do:105 - 57 which would still equal 48.So the range for the new data set would be 48.The range for the original and new data set stayed the same.

Step-by-step explanation: hi everybodyyy!!

Answer: false

Step-by-step explanation:

Answer:

Marco had 45 dollars on the card when he received it.

Step-by-step explanation:

Answer:

Step-by-step explanation:19

You can't solve this question without further information of length and slope

The value of 'x' in the ratio 14 : 5 : 11 is 6.

A triangle is a three-sided closed-plane figure formed by joining three noncolinear points. Based on the side property triangles are of three types they are Equilateral triangle, Scalene triangle, and Isosceles triangle.

We know the sum of all the interior angles in a triangle is 180°.

Given, The angles are in the ratio 14 : 5 : 11.

Let, 'x' be the ratio multiplier.

Therefore, 14x + 5x + 11x = 180.

30x = 180.

x = 180/30.

x = 6.

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The size of the angle YZX is 19.7 degrees.

A right triangle is a triangle that has one of its angles as 90 degrees. The sum of angles in a triangle is 180 degrees.

Therefore, let's find the angle YZX in the right triangle as follows:

Hence using trigonometric ratios,

sin ∠Z = opposite / hypotenuse

sin ∠Z = 7.5 / 22.3

sin ∠Z = 0.33632286995

∠Z = sin⁻¹ 0.33632286995

∠Z = 19.6530010139

Therefore,

∠YZX = 19.7 degrees.

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He is interested in studying the center, shape and spread of the data. He make histogram graph because it is the best since it demonstrates how the population is distributed.

A histogram is a graph that displays the frequency distribution of a small number of data points for a single variable. Frequently, histograms divide data into several "bins" or "range groups" and tally how many data points are in each bin.

A bar graph uses bars, columns, or strips to display facts, amounts, or numbers in a visual way.

To demonstrate how so much one factor influences others, scatter plots are used to display data points on the a vertical and horizontal axis.

A pie chart, also known as a circle chart, can be used to summarize a set of nominal data or to show the various values of a particular variable.

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The complete question is:

Someone is interested in studying property tax rates in the United States. He randomly selects 25 homes and looks up their property tax rate. He is interested in studying the center, shape and spread of the data. What type of graph does he make?

A. Histogram

B. Bar graphs

C. Scatterplots

D. Pie charts

The number of vehicles Luann had in mind is 135.

The calculation of the number of vehicles Luann had in mind is based on the ratio of the number of predicted SUVs to the number of predicted vehicles, and the actual number of SUVs seen by Luann.

First, we know that for every 45 vehicles that pass by, 14 are expected to be SUVs. This means that 14/45 of the vehicles are expected to be SUVs.

Next, we know that Luann saw 42 SUVs pass by. To find the actual number of vehicles that have passed by, we set up a proportion:

We can then solve for the actual number of vehicles by cross-multiplying and dividing:

So the number of vehicles Luann had in mind is 135.

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Complete Question:

Luann predicted that if a certain number of vehicles passed by her by, 42 of them would be SUVs. What was the certain number of vehicles she had in mind?

Types of Vehicles  |   Number of vehicles

    Car                   |   6

  Truck                 |   10

    SUv                 |     14

 Minivan             |     15

7 test scores are 85 or greater according to the given scenario.

The third quartile (Q3) is a measure of central tendency that represents the value separating the lower 75% of a dataset from the upper 25%. In this case, the third quartile has a value of 85, meaning that 75% of the test scores are 85 or lower.

Since there are 30 exams in total, 30 x 0.75 = 22.5 exams have scores of 85 or lower. To find the number of exams with scores of 85 or greater, we subtract the number of exams with scores of 85 or lower from the total number of exams, which is 30 - 22.5 = 7. This means that 7 exams have scores of 85 or greater.

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Answer:2 tablespoons of milk

Step-by-step explanation:

If nolan divides 6 by 2 he gets 3 cups of shredded cheese and to get the same results he would have to divide the milk portion too. 4/2 is 2 so he would need 2 tablespoons of milk.

Answer:

your total is $48

Step-by-step explanation:

8*6 (you plus five friends so six tickets and 8 dollars per ticket)

8 times 6 is 48

Therefore , the solution of the given problem of linear equation  comes out to be 683 = 211 + 63x option c is correct.

A straightforward regression curve is created using the equation y=mx+b. The y-intercept is m, and the slope is B. The previous sentence is usually referred regarded as a "mathematical formula integrating multiple variables," even though y or y are different parts. Only two variables are present in bivariate linear equations. There are no known solutions to application issues involving linear equations. Y=mx+b.

Here,

Distance already traveled by Ed 211 miles

Also, Ed is driving at a rate of 63 miles per hour.

Distance  Speed × Time

Distance traveled by Ed in x hours = 63x

Total distance traveled by Ed= 211  + 63x

Also, total distance traveled by Ed is 638  miles.

Therefore,

=> 683 = 211 + 63x

or

x =7.49

Thus , option c is correct.

Therefore , the solution of the given problem of linear equation  comes out to be 683 = 211 + 63x option c is correct.

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The complete question is "Ed is on a road trip. He has already traveled 211 miles and is driving at a rate of 63 miles per hour. Which equation could be used to find how many hours, x, Ed has left in his road trip if he is traveling 638 total miles? A. 211x + 638 = 63 B. 211x + 63 = 638 C. 63x + 211 = 638 D. 63x + 638 = 211"

The required round of 7 /14 to the nearest 1/4 is itself 7 1/4.

The rounding of values is superseding a number with an inexact value that has a more ephemeral, more uncomplicated, or more direct representation.

Here,

7 1/4 rounded to the nearest 1/4 hour is 7 1/4. Rounding to the nearest 1/4 hour means finding the closest 1/4 hour mark, which in this case is 7 1/4 itself.

Thus, the required round of 7 /14 to nearest 1/4 is itself 7 1/4.

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Therefore , the solution of the given problem of unitary method comes out to be $2 for one necklace is constant of proportionality of this relationship.

After determining the size of a small slice, multiply the quantity by two to complete a task using the unitary technique. The simple expression-based unit variable technique aids in separating a coded item from a given group or collection of groups. 40 pens, for instance, would cost 400 Rs (or $1.01 or 400 pounds). It's possible that one country will have total control over the method employed to do this.

Here,

Given :

Necklaces 9 10 11 12

Cost ($) 18 20 22 24

Cost of one necklace = 18/9 =2

$2 for one necklace.

Therefore , the solution of the given problem of unitary method comes out to be $2 for one necklace is constant of proportionality of this relationship.

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The angle of rotation if an image is the result of a composition of two reflections across perpendicular lines is 180 degrees

Rotation and reflection are forms of transformation as seen in mathematics. The two are related in some forms.

here, we have,

When a reflection is done on a plane perpendicular to the preimage the image is reflected at the perpendicular plane. This is equal to rotation of an angle 90 degrees.

When the reflection is continued again across the perpendicular line, another reflection is noticed and similar rotation however in this case with respect to the initial image, the rotation is now 180 degrees.

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Answer:

23e+3

Step-by-step explanation:

Answer:

Step-by-step explanation:

The two statements that are true are that the two histograms have different ranges of data and different distributions of data.

The first statement that is true is that the two histograms have different ranges of data. To calculate the difference in range, you can use the formula Range = Maximum - Minimum, where Maximum is the largest value in the sample, and Minimum is the smallest value in the sample. This means that if the maximum value of the first histogram is, say, 10 and the minimum value of the second histogram is 15, the difference in range between the two histograms is 5. The second statement that is true is that the two histograms have different distributions of data. This can be determined by looking at the shape of the histograms. For example, if the first histogram is clustered around a certain range of values, while the second histogram is more evenly distributed, this would indicate two different distributions.

So, in summary, the two statements that are true are that the two histograms have different ranges of data and different distributions of data.

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The solution is Option C.

The system of equations have no solutions as they are parallel lines

The equation of a line is expressed as y = mx + b where m is the slope and b is the y-intercept

And y - y₁ = m ( x - x₁ )

y = y-coordinate of second point

y₁ = y-coordinate of point one

m = slope

x = x-coordinate of second point

x₁ = x-coordinate of point one

The slope m = ( y₂ - y₁ ) / ( x₂ - x₁ )

Given data ,

Let the equation of first line be A

Let the equation of second line be B

Let the first point be P ( 0 , 3 )

Let the second point be Q ( 3 , 4 )

Now , the slope of the line is m = ( y₂ - y₁ ) / ( x₂ - x₁ )

Substituting the values in the equation , we get

Slope m = ( 4 - 3 ) / ( 3 - 0 )

Slope m = 1/3

Now , the equation of line A is

y - y₁ = m ( x - x₁ )

y - 3 = ( 1/3 ) ( x - 0 )

y - 3 = ( 1/3 )x

Adding 3 on both sides of the equation , we get

y = ( 1/3 )x + 3   be equation (1)

And , the third point is R ( 0 , -2 )

Let the fourth point be S ( 3 , -1 )

Now , the slope of the line is m = ( y₂ - y₁ ) / ( x₂ - x₁ )

Substituting the values in the equation , we get

Slope m = ( -1 - ( -2 ) ) / ( 3 - 0 )

Slope m = 1/3

Now , the equation of line A is

y - y₁ = m ( x - x₁ )

y - ( -2 ) = ( 1/3 ) ( x - 0 )

y + 2 = ( 1/3 )x

Subtracting 2 on both sides of the equation , we get

y = ( 1/3 )x - 2   be equation (1)

Hence , the equations have the same slope as m = 1/3 and they are parallel lines

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