What is the rule?: 12, 24, 72, 288,1440

Answer:

$276.26

Step-by-step explanation:

We have been given the principal amount as 250 dollars and rate of interest as 2.5%. Furthermore, we are given that interest is compounded monthly and we are required to find the future value after 4 years.

Therefore, we will use compound interest formula:

[tex]A=P(1+\frac{r}{n})^{nT}[/tex]

Where, we have

[tex]P = 250, r = 0.025, n = 12, T = 4[/tex]

Thus, upon substituting these values in the formula, we get:

[tex]A=250(1+\frac{0.025}{12})^{12\cdot 4}\\A=250(1+0.002083333)^{48}\\A=250(1.002083333)^{48}\\A=250\cdot 1.10505596A=276.26[/tex]

Therefore, she will have $276.26 in her account after 4 years.

Answer:

Option D is correct.

Money she wil have after four years, $276.26

Step-by-step explanation:

As per the statement:

Principal(P) =$ 250 , Annual interest Rate(r) = 2.5% and Time(t) = 4 years.

Also, n = 12

To find how much money will she have after 4 years.

The formula for amount is given by:

[tex]A = P(1+\frac{r}{100n})^{nt}[/tex]                   ......[1]

where

A represents  the Amount

P represents the Principal

r represents the annual rate of interest.

and t represents  the time in years.

Substitute the given values in [1] we get;

[tex]A = 250(1+\frac{2.5}{12 \cdot 100})^4\cdot 12[/tex]

[tex]A = 250(1+0.00208333333)^48[/tex]

or

[tex]A = 250(1.00208333)^48[/tex]

Simplify:

A=  $276.26

Therefore,  $276.26 money will she have after 4 years

The statement is false; a parameter is the actual value in the population, while a statistic is the estimate derived from a sample. It's crucial to differentiate between the two when discussing data analysis and inferential statistics.

The statement in question is false. The actual value of the population that the parameter tries to estimate is not called the statistic; it is indeed called a parameter. Parameters are the true values within a population. On the other hand, a statistic is an estimate of a population parameter and is derived from a sample that is intended to be representative of the population.

For instance, consider the population parameter of average corn yield in an area. This parameter is estimated with a sample average, which is the statistic. The sample average serves as a best estimate but is distinct from the true average yield for all farms in the target area, exhibiting variability from sample to sample.

The work of data analysis and inferential statistics involves using sample statistics to make inferences about population parameters. Understanding the difference between the two is crucial, and it involves acknowledging the concept of sampling error that arises due to discrepancies between the parameter and the statistic used to estimate it.

1L = 1,000ml

Therefore

2.486L = 2.486 · 1,000ml = 2,486ml

Answer:

Corresponding: 1 and 5, 2 and 6, 3 and 7, 4 and 8

Alternate Exterior Angles: 1 and 8, 2 and 7

Alternate Interior Angles: 3 and 6, 4 and 5

Step-by-step explanation:

Searching up the definitions could really help you understand what kinds of angles there are.

Alternate Interior Angles are a pair of angles on the inner side of each of those two lines but on opposite sides of the transversal.

Alternate exterior angles are defined as two exterior angles on opposite sides of a transversal which lie on different parallel lines.

The corresponding angles are the ones at the same location at each intersection.

Answer:

y is the vertical axis. x is the horizontal axis. Replace any value in x to get your y value. The value you input as x is your x value. God this sounds confusing. I'd graph it for you but i don't know how to do that on Brainly.

Step-by-step explanation:

Step-by-step explanation:

For each value of x you will have a y value

Step 1: Make a Chart with values

X |       1             2       3    

Y |

Step 2: Substitute the x values in the y function

y= 2(1) - 1

y=2-1

y=1

Step 3: Fill the Chart with the obtained values

X |       1             2       3    

Y |      1

Step 4: Plot the points as coordinates (x, y) i.e (1,1)

Step 5: Connect the points

Step 6: Be happy, you just learn how to plot. You can follow this proccedure for any kind of function.

Answer:

2/4

Step-by-step explanation:

A fraction that is equivalent to [tex]\frac{1}{2}[/tex] is [tex]\frac{14}{28}[/tex]

These fractions have the same value. Although the numerators and denominators of these fractions look different, their fractional values are the same.

Hello from MrBillDoesMath!

Answer:

(x-2)/(x-5)

Discussion:

Factor the numerator and denominator:

x^2 + x - 6 = (x+3)(x-2)

x^2-2x-15 =  (x+3)(x-5)

So  

( x^2 + x - 6) / x^2-2x-15  =   ( (x+3)(x-2) ) / ( (x+3)(x-5) )

Cancelling the (x+3) term in numerator and denominator gives

(x-2)/(x-5)

Regards,  

MrB

(x-2)/(x-5)

Factor the numerator and denominator:

x^2 + x - 6 = (x+3)(x-2)

x^2-2x-15 =  (x+3)(x-5)

So  

( x^2 + x - 6) / x^2-2x-15  

= ( (x+3)(x-2) ) / ( (x+3)(x-5) )

Cancelling the (x+3) term in numerator and denominator gives

(x-2)/(x-5)

Learn more about rational expression here https://brainly.com/question/19585906

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The length and width of a box is required.

The equation describing the situation is [tex]V=3W^2H[/tex]

Length of the box is 12 cm and width of the box is 4 cm.

h = The height of the box = 7 cm

V = Volume of the box = [tex]336\ \text{cm}^3[/tex]

Length of the box is three times the width.

[tex]L=3W[/tex]

Volume of a cuboidal box is given by

[tex]V=LWH\\\Rightarrow V=(3W)WH\\\Rightarrow V=3W^2H[/tex]

The equation describing the situation is [tex]V=3W^2H[/tex]

Solving the equation

[tex]W=\sqrt{\dfrac{V}{3H}}\\\Rightarrow W=\sqrt{\dfrac{336}{3\times 7}}\\\Rightarrow W=\sqrt{16}=4[/tex]

[tex]L=3W=3\times 4\\\Rightarrow L=12[/tex]

Length of the box is 12 cm and width of the box is 4 cm.

Learn more:

https://brainly.com/question/23952628

https://brainly.com/question/13771570

Hello,

Let's be x the length of the 3 side (9,x,23) ==>x>0

Using inequality triangular:

9<x+23==>x>9-23==>x>-14 (done)

x<9+23==>x<32

23<x+9==>x>14

SO 14<x<32

Answer:

[tex]14<x<32[/tex]

Step-by-step explanation:

Let x be the third side of triangle.

We have been given that two sides of a triangle measure 9 cm and 23 cm. We are asked to find the measure of third side of triangle.

We will use triangle inequality theorem to solve our given problem.

Triangle inequality theorem states that sum of two sides of a triangle must be greater than third side of triangle.

Using triangle inequality theorem, we will get:

(1) [tex]x+9>23[/tex]

[tex]x+9-9>23-9[/tex]

[tex]x>14[/tex]

(2) [tex]9+23>x[/tex]

[tex]32>x[/tex]

(3) [tex]x+23>9[/tex]

[tex]x+23-23>9-23[/tex]

[tex]x>-14[/tex] (Not applicable as length cannot be negative).

Therefore, the measure of third side of triangle would be [tex]14<x<32[/tex].

Answer:

The total amount of possible outcomes is 12.

Step-by-step explanation:

1.) 1-h

2.) 1-t

3.) 2-h

4.) 2-t

5.) 3-h

6.) 3-t

7.) 4-h

8.) 4-t

9.) 5-h

10.) 5-t

11.) 6-h

12.) 6-t

Hope this helps!! (:

Answer:

a15 = -5

Step-by-step explanation:

Let n=15 for the 15th term

a15 = -3*15 +50

a15 = -45+50

a15 = -5

To find the 15th term of the sequence an = -3n + 50, replace n with 15 in the given formula. The calculation becomes -3(15) +50 which simplifies to -45 + 50, finally giving the result 5. Therefore, the 15th term of the sequence is 5.

In mathematics, determining the nth term of a sequence involves applying the sequence formula, and substituting the specific term number, denoted as n, into the formula. For instance, consider the sequence an = -3n + 50. To find the 15th term (a15), one substitutes n = 15 into the formula: a15 = -3(15) + 50. Simplifying, a15 = -45 + 50, resulting in a15 = 5. This process showcases how a specific term in the sequence can be calculated systematically, providing a precise value for the 15th term. The formula an = -3n + 50 encapsulates the underlying pattern, allowing for the determination of any term within the sequence.

https://brainly.com/question/30262438

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Answer:

Base = 16 cm

Step-by-step explanation:

Area of triangle is given by:

Area of Triangle = [tex]\frac{1}{2}bh[/tex]

Where [tex]b[/tex] is the base and [tex]h[/tex] is the height.

The problem says that area is 56 ([tex]A=56[/tex]) and height is 7 ([tex]h=7[/tex])

Plugging in the values we can solve for base:

[tex]A=\frac{1}{2}bh\\56=\frac{1}{2}b(7)\\56=\frac{7}{2}b\\b=\frac{56}{\frac{7}{2}}=56*\frac{2}{7}=16[/tex]

Hence, the base of the triangle is 16 cm

Answer: Oysters, Shrimp and Fish

Answer:

see below  PLEASE GIVE BRAINLIEST

Step-by-step explanation:

1 quart = 32 ounces

10 x 32 = 320 ounces needed

320 ÷ 6 = 53.33  

Since he can't buy half of a container he would need to purchase 54 containers.

To fulfill a need for 10 quarts of Dr. Pepper using 6-ounce containers, Brian must buy 54 containers, after converting quarts to ounces and dividing by the container size.

Brian needs 10 quarts of Dr. Pepper. He is considering buying containers that hold 6 ounces each. To determine how many containers he needs, we must convert quarts to ounces because the volume of the drink given in two different units. There are 32 ounces in 1 quart.

Therefore, 10 quarts is equivalent to 320 ounces (10 quarts x 32 ounces/quart). Since each container holds 6 ounces, Brian needs 320 ÷ 6 containers. Dividing 320 by 6 gives approximately 53.33. Since Brian cannot buy a fraction of a container, he will need to purchase 54 containers of Dr. Pepper to meet his requirement of 10 quarts.

Answer:

D) compressed horizontally

Step-by-step explanation:

he graph of the function f(x) = |x|

 f(x) is changed to f(4x)

When we multiply some number with f(x) outside , then there will be a vertical stretch or compression on the graph

When we multiply some number with x  inside f(x), then there will be a horizontal stretch or compression on the graph

Here 4 is multiplied with x  inside f(x)

If the number is greater than 0 and less than 1 , then its a horizontal stretch

If the number is greater than 1 then it is a horizontal compression

Here 4 is greater than 1, so there will be a horizontal compression by a factor 1/4

Answer:

the correct answer is c i just got it wrong

Step-by-step explanation:

Answer:

x> 25.8

Step-by-step explanation:

A number x is greater then 25.8 write the word sentence as an inequality

x> 25.8

To represent the statement 'a number x is greater than 25.8' as an inequality, we write it as 'x > 25.8'.

The number = x

The number greater than = 25.8

If a number x is greater than 25.8, we can represent this relationship using an inequality symbol.

Based on the meaning of inequality symbols, the correct way to write this statement is:

x > 25.8

This inequality reads as "x is greater than 25.8", thus directly answers the given question by converting the word sentence into a mathematical inequality.

When you divide a fraction you always multiply the reciprocal of number you divide. So then what you are doing is 3/8*5 which is 15/8.

Hope this helps! <3

Answer:3/4

Step-by-step explanation:

3/8 ÷ 5

Answer:

it would be 800 because 2.8% of 800 is 22.40 and that is your answer.

hope i helped :)

Answer:

$800.

Step-by-step explanation:

We have been given that Gene's deposit earns 2.8 percent simple annual interest. At the end of the year, the interest that is earned is $22.40. We are asked to find the amount of original deposit.

To find the original amount of deposit, we use simple interest formula:

[tex]I=Prt[/tex], where,

I = Amount of interest,

P = Principal amount,

r = Annual interest rate in decimal form,

t = Time in years.

Let us convert our given interest rate in decimal form.

[tex]2.8\%=\frac{2.8}{100}=0.028[/tex]

Upon substituting our given values in above formula, we will get:

[tex]\$22.40=P*0.028*1[/tex]

[tex]\$22.40=P*0.028[/tex]

[tex]\frac{\$22.40}{0.028}=\frac{P*0.028}{0.028}[/tex]

[tex]\$800=P[/tex]

Therefore, the amount of original deposit was $800.

Basically, geometry screws with your mind. It's tough, but you have to imagine these triangles set up next to each other, or use your finger to trace to the different points, that way you can situate yourself.

So, there are three triangles, ΔCAD, ΔBCD, and ΔBAC. and they're all similar. this would be the answer to your first question. (If you need help finding them, use the methods I mentioned earlier :))

Now, to figure out the proportions, look at which sides are the same (not literally, but size wise. Like, the hypotenuse is always the 2nd longest, the bottom is the longest, and the side is the shortest.

CD and BD go together because #1 the letters go from the top tip of the Δ to the bottom where they meet the bottom side. Now, as for AD, that's the hypotenuse. So, you find another hypotenuse from the other two triangles. (The other two are AC and CB).

the last one heey put that CA and BA are proportionate. CA and BA happen to both be bottoms of Δ's. then they put AC. AC is both a hypotenuse and a bottom, so you have a variety of sides you could go with. (hypotenuses:AD, CD, bottoms:AB, and CB)

I hope this helps!

Answer:

The common difference would be -10.

Step-by-step explanation: If it were +10 then it would be: 9, 19, 29, 39

If it had a common ratio of -9 then it would be: 9, -81, 729, -6561

It it had a common ratio of 9, then it would be: 9, 81, 729, 6561

Answer:

A

Step-by-step explanation:

Answer:

5+4<10+2

Step-by-step explanation:

Answer:

12 ft

Step-by-step explanation:

Answer:

1 12/21 or 32/21

Step-by-step explanation:

Okay, it may seem a little complex but you will have to break it down bit by bit. So, if you are dividing a fraction by a decimal I would turn the decimal into a fraction, in this case turn 0.35 into a fraction. You get it? I'm a seventh grader and I get stuck on these too! So, 0.35 as a fraction is 7/20. Next you divide 8/15 by 7/20. Not trying to get you confused but in my math class this is the same thing as multiplying by the reciprocal of the second fraction. So, what is 8/15 divided by 7/20 or 8/15 times 20/7? I will do the multiplying way so lets do the numerators first. 8 times 20 is 160. For the denominators, 15 times 7 is 105. Your final fraction is 160/105. Lastly you have to simplify it. It turns into a mixed number and your final answer is 1 12/21 or simplified is 32/21. Hope this helped! :-)

Final answer:

To find the value of the expression 8/15 divided by 0.35, multiply the first fraction by the reciprocal of the second fraction. Simplify the resulting fraction to get the final answer.

Explanation:

To find the value of the expression 8/15 divided by 0.35, we need to divide 8/15 by 0.35.

We can represent 0.35 as a fraction by dividing it by 1. So, 0.35 is equal to 35/100 or 7/20.

Now, let's divide 8/15 by 7/20.

Therefore, the value of the expression 8/15 divided by 0.35 is 160/105.

i think it will be B and then the second will be C

Answer:

Step-by-step explanation:

4)

30 is 60% of 50

5)

Amount Saved (Discount): $

350

Sale / Discounted Price: $

650

Answer:

12/24

Step-by-step explanation:

A ratio is a comparison of two quantities and can be written in several forms including fractions. It is most commonly written in fraction form or a:b.

To write a ratio, we count the number of each quantity we are comparing. The number of shaded squares is 12. While the total number of squares is 24. We write the ratio as shaded : total.

12:24 or

[tex]\frac{12}{24}[/tex] or

0.5 as a decimal.

Answer:

x=3,y=6

Step-by-step explanation:

4x-y =6

3x+2y = 21

To use elimination we will multiply the first equation by 2

2(4x-y) =6*2

8x -2y =12

We will add this equation to the second equation to eliminate y

8x -2y =12

3x+2y = 21

-----------------

11x = 33

Divide each side by 11

11x/11 = 33/11

x =3

We still need to solve for y

3x+2y = 21

Substituting x=3

3*3+2y = 21

9+2y =21

Subtract 9 from each side

9-9+2y = 21-9

2y = 12

2y/2 = 12/2

y =6

Answer:

C

Step-by-step explanation:

Just took the test. Good luck

Answer:

The answer is C) Jessica has driven exactly 360 miles out of a total of 400 miles

Step-by-step explanation:

Since 90% is equal to 0.9 of 1

And you need to figure out what statement is true

You would take the largest number from each answer choice and multiply it by 0.9

For Example: In answer choice A), it says Jessica has driven exactly 40 miles out of a total of 360 miles.

So you would multiply 360 by 0.9

Which gives you 324

Which is not 40

Therefore it is wrong

Answer:

c

Step-by-step explanation:

Answer:

1) Total votes = 260

2) option (a) CANNOT be used to answer this question

================================================

Step-by-step explanation:

Part (A)

let all the votes = x

Violet received 156 votes which equal to 60% of all the votes

∴ 156 = 60% of x

60% = 60/100 = 0.6

∴156 = 0.6 x ⇒ x = 156/0.6 = 260 votes

Part (B) :

options (b), (c) and (d) can be used to answer this question because they will give the same result of part (A)

While option (a) CANNOT be used to answer this question.

Check the following

a. 0.6 times 156 = x   ⇒  x = 93.6

b. 156 = 0.6x              ⇒ x = 260

c. 156/0.6 = x             ⇒ x = 260

d. 156/x = 60/100      ⇒ x = 260