Amanda puts $1800 into an account that does not earn any interest. Every
month after that, she deposits the same amount of money. This sequence
represents her account balance for the first few months:
$1800, $2000, $2200,...
What is the explicit formula for the amount of money in her account at the
beginning of month n?

Answers

Answer 1

Answer:

a(n)=1800+(n-1)200

Step-by-step explanation

The usual formual is an=a1+d(n−1)

a1=The first number is the number you would start on

so 1800=a1

n=the number of times you would do it

you would usually put n-1 because the first number is already been put though the formula

d=the amount of change between each number

so 200=d

A(n)= a of n, like f(n) means f of n

so that why it is a(n)=1800+(n-1)200

i also got it right on A.pex


Related Questions


What’s the answer ??

Answers

Answer:

-5^x-3x-6

Step-by-step explanation:

(-5^x - 4 + g(x) ) (x)

(-5^x - 4 - 3x -2) simplified  -5^x-3x-6

Answer:

-5^x -3x -6 = A

[tex]f(x) = - {5}^{x} - 4 \\ g(x) = - 3x - 2 \\ (f + g)(x) = \\ ( - {5}^{x} - 4) + ( - 3x - 2)[/tex]

[tex]( - {5}^{x} - 4) + ( - 3x - 2) \\ - {5}^{x} - 4 - 3x - 2 \\ collect \: like \: terms \: \\ - {5}^{x} - 3x - 4 - 2 \\ [/tex]

[tex] - {5}^{x} - 3x - 6[/tex]

What is the image of the point (-5, 2) under the translation T3,-4?

Answers

Answer: (5,7)

Step-by-step explanation:

We want to find the image of a point after a given translation.

The image of the point (-5, 2) under the translation T(3, -4) is the point (-2, -2)

First, we can define how a general translation T(a, b) affects a general point (x, y).

It will add a units to the x-value and b units to the y-value, then we have:

T(a,b)[(x, y)] = (x + a, y + b).

Now we just need to apply the translation:

T(3, -4) to the point (-5, 2)

It gives:

T(3, -4)[(-5, 2)] = (-5 + 3, 2 + (-4)) = (-2, -2)

So the image of the point (-5, 2) under the translation T(3, -4) is the point (-2, -2)

If you want to learn more, you can read:

https://brainly.com/question/16874971

I can’t find the area can you please help me with it. It’s the question with the question mark

Answers

Answer:

1947 units^2

Step-by-step explanation:

you can split it up into different sections of rectangles.

the first one is 25x39= 975

The second section is the connector which you do

43-25=18

and you do 39-27=12 and then

you multiple 18x12 which equals 216

and the final section you do 24+12=36

and 36x21=756

and finally you add them all up to equal 1947 units^2

A farmer has a 100 ft by 200 ft rectangular field that he wants to increase by 15.5% by cultivating a strip of uniform width around the current field. How wide of a strip should he cultivate around the edge of his field to do this? The strip around the outside is _ feet wide

Answers

Answer:

(a) The strip should be 5ft wide

(b) The strip around the outside field is 10ft wide.

Step-by-step explanation:

Given:

Length of the rectangular field, L= 200 ft

width of the rectangular field, w = 100 ft

Area of the rectangular field, A = 200ft x 100ft = 20000 ft^2

let the width of the strip = x

The strip around the outside field = 2x

If the field is increased by 15.5%

New area of the field = 1.155 x 20000 = 23,100 ft^2

The increase in area of the field = 3,100 ft

3,100 = New area of field - old area of the field

3100 = (200 + 2x)(100 + 2x) - 20000

3100 = 20000 + 400x 200x + 4x^2 - 20000

3100 = 600x + 4x^2

Divide through by 4

775 = 150x + x^2

x^2 + 150x - 775 = 0

Factorize

(x + 155)(x-5) = 0

x = 5 ft

The strip should be 5ft wide.

The strip around the outside field = 2 x 5 ft = 10 ft

Thus, the strip around the outside field is 10ft wide.

Find the value of x in the isosceles triangle shown below

Thank you!

Answers

And isosceles triangle always equals 180 degrees so to find the value of x what number would you need for the value to be 180

solve for x. 7(x-3)+3(4-x)=-8

Answers

Answer:

x=1/4

Step-by-step explanation:

1.distribute the 7 and 3 into parentheses

2. combine like terms

3. add 9 on both sides

4. divide both sides by 4

x=1/4

hope this helped!

Answer:

x = [tex]\frac{1}{4}[/tex]

Step-by-step explanation:

7(x-3)+3(4-x)= -8

Expand 7(x-3) and 3(4-x)

i.e. 7x-21+12-3x= -8

4x-9=-8

Collect like terms

4x= -8+9

4x= 1

x = [tex]\frac{1}{4}[/tex]

Hope this helps!!!

CAn someone please help

Answers

I cant see I have bad eye sight sorry

no. of squares=90

no. of toothpicks=(89*3)+4

=271

rule of patern = 4+3+3...

no. of toothpicks=1000

no. of squares= (996÷3)+1

= 333

Ava and Sara both started getting an allowance 12 weeks ago, and they haven't spent a cent! They get $1 for each year of their age. Sara is 8 and gets $8 per week. Ava has $24 more than Sara. How old is Ava?

Answers

Answer:

Ava is 10 years old

Step-by-step explanation:

Sara is 8

Sara=$8 per week for 12 weeks

$8×12 weeks=$96

Ava has $24 more than Sara

x*12=96$+$24

12x=120

x=120/12

x=10

Ava's age is 10

A hummingbird’s nest is 6 meters high in a tree. A flower is on the ground 14 meters away from the base of the tree. How far will the hummingbird need to fly to get from its nest to the flower if it takes a direct path?

Answers

Answer:

15.23 m

Step-by-step explanation:

The problem given describes the shape of a right angled triangle.

From the diagram below:

The height of the tree is the opposite = 6 m

The distance of the flower from the base of the tree = adjacent = 14 m

The distance the bird must fly to get from the nest to the flower = hypotenuse = h

According to Pythagoras rule:

[tex]hyp^2 = opp^2 + adj^2[/tex]

Therefore:

[tex]h^2 = 6^2 + 14^2\\\\h^2 = 36 + 196\\\\h^2 = 232\\\\h = \sqrt{232} \\\\h = 15.23 m[/tex]

The bird will have to fly 15.23 m to get from its nest to the flower in a direct path.

a cookie recipe calls for 10 cups of milk. Magdahas already put in 7.3 cups. How many more cups does she need to put in?​

Answers

Answer: 2.7 cups of milk

Explanation: 10-7.3=2.7, therefore, Magdahas needs 2.7 more cups of milk.

1. When simplified, 17a - 14b - 20a - 2b is equal to

Answers

Answer:

- 3a -16b

Step-by-step explanation:

HELP ME!!! Find the y intercept of the line y=2x-11

Answers

Answer:

It would intercept the y-axis at y = -11

Step-by-step explanation:

Here is the work

Answer:

Step-by-step explanation:

the y interception is -11

Y=mx+b formula the b is for the y intercept and the m is the slope.

What is the equation of the following line? Be sure to scroll down first to see all answer options.

Answers

Answer:

y = 9x

Step-by-step explanation:

The y intercept is zero since it goes through the point (0,0)

We need to find the slope

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

   = (9-0)/(1-0)

   = 9/1

Putting this into slope intercept form  y = mx+b

y = 9x +0

y = 9x

HELP! Which of the following are interior angles in the figure below? PLEASEEE!!!!! URGENT dont need to explain

Answers

I THINK it is D, because they all add up to 180 as the interior angles

Which data set could be represented by the box plot shown below?


A horizontal boxplot is plotted along a horizontal axis marked from 0 to 20, in increments of 1. A left whisker extends from 1 to 6. The box extends from 6 to 16 and is divided into 2 parts by a vertical line segment at 12. The right whisker extends from 16 to 19. All values estimated.

Answers

Answer:

Any set of data that satisfies the 5-Number summary: 1,6,12,16 and 19 can be represented with the box plot.

Step-by-step explanation:

Interpreting Box Plots

A box plot is used to present the 5-Number summary of a set of data.

The 5-Number summary consists of the following in their order of appearance on the box plot.

Minimum ValueFirst Quartile, [tex]Q_1[/tex]Median, [tex]Q_2[/tex]Third Quartile, [tex]Q_3[/tex]Maximum Value

In the box plot, the following rules applies

The whisker starts from the minimum value and ends at the first quartile.The box starts at the first quartile and ends at the third quartile. There is a vertical line inside the box which shows the median. The end whisker starts at the third quartile and ends at the maximum value.

Using these, we interpret the given box plot

A left whisker extends from 1 to 6.

Minimum Value=1First Quartile =6

The box extends from 6 to 16 and is divided into 2 parts by a vertical line segment at 12.

Median=12Thrid Quartile=16

The right whisker extends from 16 to 19.

Maximum Value =19

Therefore any set of data that satisfies the 5-Number summary: 1,6,12,16 and 19 can be represented with the box plot.

help..................

Answers

Answer:

D

Step-by-step explanation:

Let's say we're translating the origin, (0, 0) left 6 units and up 4 units. We would get ( -6, 4), which is (x - 6, y + 4), which is D

what is the slope of the equation y= 5/4c- 7/4

Answers

Answer:

5/4 is the slope

Step-by-step explanation:

y= 5/4c- 7/4

This is in the slope intercept form

y = mx+b where m is the slope and b is the y intercept

5/4 is the slope and -7/4 is the y intercept

Answer:

5/4

Step-by-step explanation:

This equation is in slope intercept form (y=mx=b) so when interpreting the information we see that the slope is 5/4.

y = y

m = slope

x = x or in this case they use c

b = y intercept

This equation represents a line that intercepts at -7/4 and has a slope of 5/4. This can be checked by plugging in any point on the line for x and y.

Hope this helps!

13. Jane buys a set of 17 spiral notebooks. Each notebook has 95 pages. What is total number of pages?

Answers

Multiply number of notebooks by number of pages in each one.

17 x 95 = 1615

The answer is 1,615 total pages

Answer:

A. 1615

Step-by-step explanation:

Solve as shown:

17 books that each have 95 pages equals the total pages.

17(95)=?

17(95)=1615

Last year, there were “x” students in the Math Club, but this year, there was a 40% increase in membership. Represent this year’s membership in terms of “x”.

Answers

Answer:

(x)1.4=Y

Step-by-step explanation:

40% increase of memeber so ita 140% of X

pleaseee help me w dis!!! marking brainiest!!!

Answers

Answer:

x = -8  x=1

Step-by-step explanation:

x^2 +7x = 8

Subtract 8 from each side

x^2 +7x -8 =0

Factor

What 2 numbers multiply to -8 and add to 7

8*-1 = -8

8+-1 = 7

(x+8)(x-1) =0

Using the zero product property

x+8 =0  x-1 =0

x = -8  x=1

What are the domain and range of f(x) = |x + 6|?

Answers

Answer:

The domain is (-∞,∞)

The range is [0,∞)

Step-by-step explanation:

The graph will be a V shape facing upwards with a vertex of (-6,0)

Answer:

Domain = (-∞,∞)

Range = [0,∞)

Step-by-step explanation:

Find the surface area of the polyhedra
pls!! show how you got the surface area ​​

Answers

Answer:

960cm^2

Step-by-step explanation:

surface area = sum of area of one sides

front + back = 336cm^2

side x 2 = 336cm^2

base + top = 288cm^2

sum = 960cm^2

Mark Brainiest, please

Work out the value of x

Ps I would appreciate if you showed me how to work it out

Thank you​

Answers

Answer:

x = 67.5°

Step-by-step explanation:

A circle's angles add up to 360°

So,

x+3x+90 = 360

4x+90 = 360

4x = 360-90

4x = 270

Dividing both sides by 4

x = 67.5°

What is 0.00245 in standard form

Answers

Answer:

2.45*10^-3

Step-by-step explanation:

The number 0.00245 expressed in standard form is; 2.45 × 10-³.

While expressing numbers in standard form;

We must ensure that only one significant digit appears before the decimal point.

As such; we have 2.45 × 10-³.

The 10-³ term accounts for the shift of the decimal rightward in a bid to arrive at the first significant digit.

Read more:

https://brainly.com/question/11288844

Combine the like terms to create am equivalent expression y-(-3y)

Answers

Answer:

[tex]=4y[/tex]

Step-by-step explanation:

[tex]y-\left(-3y\right)\\\mathrm{Apply\:rule}\:-\left(-a\right)=a\\=y+3y\\\mathrm{Add\:similar\:elements:}\:y+3y=4y\\=4y[/tex]

Answer:

[tex] = 4y[/tex]

Step-by-step explanation:

[tex]y - ( - 3y)[/tex]

we know that,

[tex]( - ) \times ( - ) = ( + )[/tex]

so,

[tex]y - ( - 3y) \\ y + 3y \\ = 4y[/tex]

hope this helps

brainliest appreciated

good luck! have a nice day!

Deon has to buy all the butter she needs to make 60 biscuits. She buys the butter in 250 g packs. (b) How many packs of butter does Deon need to buy?

Answers

Answer:

200g of sugar, 600g of flour, 400g of butter

Step-by-step explanation:

50g sugar = 15 biscuits

3 x 50g = flour --) 150g = flour

2 x 50g = butter --) 100g = butter

60/15 = 4; 4 times as much

4 x 50g = 200g of sugar

4 x 150g = 600g of flour

4 x 100g = 400g of butter

                                                                                                           

                                                                                                       

If you are asked to graph y = 3x + 1, or y = x2 - x - 6, or y = x3 - 3, do you think it is a good idea to start by plugging in zeros? That is, to let x = 0 and then let y = 0? Why or why not?

Answers

Answer:

I think you should start with a table and then write all your points for x then in the next column your answers for y.

Then take your medium and start drawing.

I suggest your x's should start from 0 and increase by 1 or 2

Then when you reach a certain point then go back to 0 and start doing your negatives.

For example if y = 2x

x | y

0|0

1 | 2

2| 4

3|6

4|8

....

then

16|32

0|0

-1|-2

-2|-4

Thanks for this question. I am working my way up to brainliest answer and Master Answerer. This answer took a lot of time to type so I hope I get good review.

:)

:)

Step-by-step explanation:

Please help with these questions :(

Answers

In the Pythagorean theorem, a squared minim b squared equals c squared. If you apply that formule to question 2.

17^2-8^2 = 289 - 64 = 225 = 15^2.

Therefore, the answer to first question is yes

Then, for question 2, you do the same thing.

41^2 - 40^2 = 51

Here, 51 is not a square number. Most importantly it is not the square of9,

So this triangle is not right angled

Varuns monthly income is 18000 he spends 1/5 of his income for house rent and 3/5 of his income on other expenditure how much does he save every month

Answers

Answer:

$3600

Step-by-step explanation:

Given:

Total income T = $18,000

Fraction of income spent on house rent f1 = 1/5

Fraction of income spent on other expenditures f2 = 3/5

Fraction of income saved is;

f = 1 - (1/5+3/5) = 1 - 4/5

f = 1/5

The Amount he save is A;

A = fraction saved × total amount = f × T

Substituting the values

A = 1/5 × $18,000

A = $3,600

The Amount he save is $3,600

Answer: Varun saves 3,600 every month

Step-by-step explanation: Varun's income in the first instance is fixed at 18000, and out of this amount he spends 1/5 on house rent. We shall now determine the amount represented by 1/5 as follows;

Total income = 18000

House rent = 1/5

Rent expense = 1/5 of 18000

Rent expense = 1/5 * 18000

Rent expense = 3600

he also spends 3/5 on other expenditure

Other expenditure = 3/5 of 18000

Other expenditure = 3/5 * 18000

Other expenditure = (3 * 18000)/5

Other expenditure = 54000/5

Other expenditure = 10800

His expenses therefore have been derived as

Total expenditure = 3600 + 10800

Total expenditure = 14400

His savings per month therefore is derived as;

Total income - total expenditure = savings

18000 - 14400 = savings

3600 = savings

Therefore, Varun saves 3,600 every month

The distance between Joshua's home and school is 800 m. Joshua takes 5 min to walk
the first 100 m to a Convenient Store nearby. He would spend 10 min in the store to
complete his purchase. Finally, he takes another 20 min to reach school. What is his
average speed in m/s?

Answers

Answer:

= 0.38 m/s

Step-by-step explanation:

▪Total distance = 800 m

5 min = 100 m

▪Remaining distance = 800 - 100 = 700 m

20 min = 700 m

▪Total time taken = 20 + 10 + 5 = 35 min

If 1 min = 60 sec

What about 35 min = ?

= 35 x 60

= 2100 sec

▪Average speed = TD ÷ TT

= 800 ÷ 2100

= 0.38 m/s

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