Your eccentric Aunt Isabella sends money to each niece and nephew on his or


her birthday, She gives each child $10 on his or her first birthday. On each


birthday thereafter, you and your cousins get $20 more than on the birthday


before. How old will you be when you have received a total of $4,000 from


Aunt Isabella?


How old will you be when you have Received a total Of $4000 from aunt Isabell?

Answers

Answer 1

Answer:

20 years old

Step-by-step explanation:

Given

Base Amount = $10

Additional Amount = $20

Required

Determine the number of years where the total will accumulate to $4000

This question represents Sum of an AP series.

[tex]S_n = \frac{n}{2}(2a + (n - 1)d)[/tex]

Such that:

[tex]S_n = 4000[/tex]

[tex]a = 10[/tex]

[tex]d = 20[/tex]

Substitute these values in the above formula:

[tex]4000 = \frac{n}{2}(2 * 10 + (n - 1) * 20)[/tex]

[tex]4000 = \frac{n}{2}(20 + 20n - 20)[/tex]

[tex]4000 = \frac{n}{2}(20n)[/tex]

[tex]4000 = \frac{20n^2}{2}[/tex]

[tex]4000 = 10n^2[/tex]

Divide through by 10

[tex]400 = n^2[/tex]

Take square root of both sides

[tex]20 = n[/tex]

[tex]n = 20[/tex]


Related Questions

Jessica has 7/8 of a pound of candy.She are 1/4 of it at the movies. How much does she have left over
A. 5/8
B. 4/8
C. 3/4
D. 1/2​

Answers

Answer: A. 5/8

1/4 x 2 will equal 2/8. 7/8 - 2/8 = 5/8

Answer:

A. 5/8

Jessica has 5/8 pounds of candy left

✨Step-by-step explanation:✨

7/8 (how many pounds she used to have) - 1/4 (how much she ate at the movies) = ?

✨To make this easier let us turn 1/4 into 2/8 (both fractions are equivalent):✨

7/8 (How many pounds she used to have) - 2/8 ([Also 1/4] how much she ate at the movies) = 5/8 (how much she has left)

HURRY!!! NEED IT FAST ! WILL MARK BRAINLIEST!!!

Answers

Answer:

-6.666

Step-by-step explanation:

Answer:

-2/5

Step-by-step explanation:

Let's plug in all of the numbers: [tex]\frac{-(-2^2)(4(-3)-5(-2))}{3(4)-4(-2)}[/tex]

We get [tex]\frac{-(-4)(-12+10)}{12+8}[/tex]

Simplify further to get [tex]\frac{4(-2)}{20}[/tex]

Or [tex]\frac{-8}{20}[/tex]

Which can be simplified to -[tex]\frac{2}{5}[/tex]

ASAP PLEASE What is the slope of the blue and green line ( both parallel)

Answers

Answer:

slope = - 2

Step-by-step explanation:

Calculate the slope m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (- 8, 4) and (x₂, y₂ ) = (- 1, - 10) ← 2 points on the green line

m = [tex]\frac{-10-4}{-1+8}[/tex] = [tex]\frac{-14}{7}[/tex] = - 2

Repeat with (x₁, y₁ ) = (- 3, 0) and (x₂, y₂ ) = (0, - 6) ← 2 points on the blue line

m = [tex]\frac{-6-0}{0+3}[/tex] = [tex]\frac{-6}{3}[/tex] = - 2

Since the slopes are equal then the lines are parallel

Which of the following demonstrates the distributive property?​

Answers

Distributive property is an example like this

2(x+y)=2x+2y.

a(b+c)= ab+ac

Answer:

You dont have the equation

>:(

Step-by-step explanation:

Help me plz!!!!!!!!!!!!!!!

Answers

Answer:

  $2.40

Step-by-step explanation:

sales tax = 30 * .08 = $2.40

How to solve for x??

Answers

Answer:

17

Step-by-step explanation:

The sum of a polygon's angles is 180° (n − 2), where n is the number of sides.  A hexagon has 6 sides, so the sum of the angles is:

180° (6 − 2) = 720°

Therefore:

720 = 8x − 1 + 5x + 36 + 116 + 7x + 19 + 6x − 2 + 110

720 = 26x + 278

26x = 442

x = 17

Is 7/16 of a mile repeating or terminating

Answers

Answer:

Terminating.

Step-by-step explanation:

.4375 miles is terminating.

Answer:

terminating

Step-by-step explanation:

it's 0.3475

What’s is 93875748282858828819482 - 3826283 have fun

Answers

Answer:

9.3875748e+22

Step-by-step explanation:

What is the slope of the line represented by the following equation?
y= 1/3x + - 2/3
A) -1/3
B)-2/3
C)1/3
D)2/3

Answers

C 1/3
Y=mx+B, Mx representa slope so your answer is 1/3

Katie and Mina both commute to work. Katie's commute on the train takes 10 minutes more than one half as many minutes as Mina's commute by car. It takes Katie 30 minutes to get to work. Write an equation to determine how many minutes it takes Mina to get to work. NEED HELP PLZZ :)

A 30 = one halfx + 10
B 30 = one halfx − 10
C 30 = 2x − 10
D 30 = 2x + 10

Answers

The answer is A! Good luck!

Answer:

A) 30 = (1/2)x + 10

Step-by-step explanation:

hey yall i need help again im just lazy but will mark brainlyest

Answers

Answer:

1) 1

2) 1

3) 5/6

4) 3/10

5) 5/6

6) 2/7

7) 3/8

8) 5/14

Simplify

3 /6 − 1/ 7 =

3 /6 − 1 /7 =

3 /6 + −1 /7 =

1 /2 + −1 /7 =

7 /14 + −2 /14 =

7+−2 /14 =

5 /14

(Decimal: 0.357143)

9) 2/9

10) 2/21

Step-by-step explanation:

what is the positive square root of 9/16​

Answers

Answer:      |√9/16|     =  ¾ or .75

PLz mark brainliest:)

I think the answer is .75:)

ANSWER PLZZ!!
Your neighbor Sally wants to plant flowers around the edge of her circular above ground pool. If the diameter of Sally’s Pool is 18ft, how many flowers will sally need to plant to surround the pool? Round your answer to the nearest hundredth

Answers

Answer:

This answer involves finding the circumference of the circle which is basically the length of the entire perimeter of the garden

Step-by-step explanation:

Circumference = 2 * pi * radius

2 * pi * 9 ft = 56 ft

So it depends how many flowers she wants to plant per each foot. If she wants to plant 1 flower per foot the answer is 56 flowers.

PLEASE HELP it’s literally easy

Answers

Answer:

it would be 4 right (the last one)

Step-by-step explanation:

Answer QUICK!! I’ll give tahnks and points

Answers

The answer is bbbb......

PLEASE HELP NOW!!!!
WILL MARK BRAINLIEST AND ALL THAT JAZZ!!




The rule for significant digits in multiplication is, the answer should reflect the number in the problem with the
most significant digits
b. fewest significant digits
a. Most significant digits

Answers

Answer:

b

Step-by-step explanation:

BCCCCCC

which line has a constant of proportionality between y and x of 5

Answers

Answer:

tp

Step-by-step explanation:

The constant of proportionality between y and x of 5 for line A.

What is the slope of straight line?

The slope of a straight line is the tangent of the angle formed by it with the positive x axis as the reference.

The negative slope indicates the rate of decrease while the positive shows the rate of increase.

The lines in the graph are passing through origin.

It implies that the y-intercept for all the lines is zero.

The slope-intercept equation of the line can be written as,

y = mx + c

Here c is the y-intercept.

When c = 0, the equation becomes as y = mx.

It implies that the for lines passing through origin, the slope of the line becomes the proportionality constant.

Now, from the given graph the line A is shown to be passing through (5, 1).

Then, the slope is given as,

m = (5 - 0)/(1 - 0) = 5

Hence, the line A in the given graph has constant of proportionality as 5.

To know more about slope click on,

https://brainly.com/question/3605446

#SPJ5

What is 427 thousand in scientific notation

Answers

Answer:

4.27x10^2

Step-by-step explanation:

I need help please list all the available factors. PLEASE

Answers

Thing I no this one I just forgot

5m (2n - 7) in equivalent form re write this question i only have 2 minutes plz help

Answers

Answer:

10mn-35m is the answer

what is the inverse of the function f(x) = 2x+ 1?

A. h(x) = 1/2x -1/2
B. h(x) = 1/2x + 1/2
C. h(x) = 1/2x - 2
D. h(x) = 1/2x + 2

Answers

[tex]f(x) = 2x + 1[/tex]

[tex]y = 2x + 1[/tex]

Subtract sides -1

[tex]y - 1 = 2x + 1 - 1[/tex]

[tex]y - 1 = 2x[/tex]

[tex]2x = y - 1[/tex]

Divided sides 2

[tex] \frac{2}{2}x = \frac{y - 1}{2} \\ [/tex]

[tex]x = \frac{1}{2}y - \frac{1}{2} \\ [/tex]

Thus ;

[tex] {f}^{ - 1} = h(x) = \frac{1}{2}x - \frac{1}{2} \\ [/tex]

♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️

So the correct answer is (( A )) .

♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️

are two parallelograms with the same side lengths
always congruent?

Answers

Answer:

Step-by-step explanation:

most of the time yes

What is the slope of 1.5x+4.5y=18 ,and how do you know?​

Answers

Answer:

m=-1/3

Step-by-step explanation:

The slope of this line is m=-1/3 because if you use the slope-intercept formula, y=mx+b, m is the slope. If you take this equation and plot two points on a line that has this equation, the slope will be negative if the line forms an obtuse angle on the 0 line. In this case, m=-1/3 as the line goes back 1/3 unit for every unit in this equation. Hope it helps!

Answer:  the slope is -0.33...   The does means that 3 is repeating.

Step-by-step explanation:

First we will convert the equation into slope intercept form, which is the same way of solving for y in the equation.

1.5x + 4.5y = 18     Solve for y by first subtracting 1.5x from both sides

-1.5x               -1.5x

4.5y  = 18 - 1.5x     Now divide both sides by 4.5

y= 4- 0.33x

y= -0.33x + 4    Now the slope is the coefficient of the variable x which is the number that comes after the variable.

In this case, the slope is -0.33...

the cylindrical bucket contains 314 cubic inches of water. the height of the water is 4 inches. what is the radius of the bucket, to the nearest whole number? use 3.14 for pi

Answers

Answer: 5 (apex) , ur welcome .

Step-by-step explanation:

what’s 40/44 in lowest terms

Answers

Answer:10/11

Step-by-step explanation:i think you mean in simpilest terms so here is that! hope this helped:)

what is the chang in temperture from -24 to 15?

Answers

Answer:

38 degree difference

Step-by-step explanation:

24 + 15 =39

But they share the 0 degree spot so minus one.

39-1=38

how many y- values are there for each x-value in the function represented by the graph?

A.0
B.1
C.2
D. infinitely many

Answers

Answer:

D

Step-by-step explanation:

There are only 1, y- value are there for each x-value in the function represented by the graph.

What is Function?

A relation between a set of inputs having one output each is called a function.

Given that;

The function represented by the graph.

Here, The graph shows the line which has only one y - value for the each x-value in the function.

That is,

For x = 0,

Value of y = - 4

Hence, There are only 1, y- value are there for each x-value in the function represented by the graph.

Learn more about the function visit:

https://brainly.com/question/28793267

#SPJ2

Is each pair of equations equivalent? explain.
4y+2x=-7
2y-6x=8

Answers

No, because 4y+2x=-7 in slope intercept form is y=-1/2x-7/4 and 2y-6x=8 is y=3x+4
Hope this helps if so pls mark brainliest

what is a minimum number of points required to mark all maximum, minimum and zeros in a period of a sinusoid?

Answers

Answer:5 points :)

Step-by-step explanation:= −1) and 3 zeros (sin(0) = 0,sin( ) = 0, sin(2 ) = 0). Answer: 5 points. Hope this helps!

Evaluate 1/3 x 5/6.

A. 1/15
B. 6/15
C. 5/18
D. 3/30

Answers

Answer:

C

Step-by-step explanation:

1x5=5

3x6=18

and you can't simplify 5/18.

Answer:

5/18

Step-by-step explanation:

1 times 5 equals 5.  3 times 6 equals 18.

Other Questions
The impeachment of President Andrew Johnson was due to his involvement in the Confederate military during the Civil War.a struggle between Congress and President over governmental power.charges that he had lied under oath about Reconstruction laws.his actions as a "Radical Republican" during the Reconstruction Era. Q.In the selection, how does the bird contribute to the theme?A)It symbolizes the hope that dreams can give to a person.B)It symbolizes how clever dreams can be.C)It symbolizes how dreams can escape a person.D)It symbolizes how quickly dreams can be crushed. what is 40 divided by 59? 2.PART A: How does President Reagan's language change in paragraph 9?AThe language is darker.BThe language is simpler.CThe language is more cheerful.DThe language is more inspiring.3.PART B: Which detail from paragraph 9 best supports the answer to Part A?AI know it's hard to understand ( Paragraph 9)Bsometimes, painful things like this happen. ( Paragraph 9)CThe future doesn't belong to the fainthearted ( Paragraph 9)Dwe'll continue to follow them. ( Paragraph 9) (-3 -81)(-5+ -9)+9i HELP ME PLSWhich of these figures has rotational symmetry? The double number lines show the ratio of yards to miles.How many yards are in 555 miles? Corey decided to let his younger brother use a dull knife to cut his sandwich instead of a sharp one since he was younger. safe or unsafe ?sate the reason why if its unsafe Janet pulled her long hair out of her face and up into a ponytail before she started cooking. safe or unsafe sate reason if unsafe Robert had only put the roast in the oven for about 5 minutes and decided to take it out quickly with his hands to finish seasoning it. same question which equation represents a linear function? Combination Fraction of Portfolio in Diversified Stocks Average Annual Return Standard Deviation of Portfolio Return (Risk) (Percent) (Percent) (Percent) A 0 2.00 0 B 25 4.50 5 C 50 7.00 10 D 75 9.50 15 E 100 12.00 20 If Rosa reduces her portfolio's exposure to risk by opting for a smaller share of stocks, he must also accept a average annual return. Suppose Rosa currently allocates 25% of her portfolio to a diversified group of stocks and 75% of her portfolio to risk-free bonds; that is, she chooses combination B. She wants to increase the average annual return on her portfolio from 4.5% to 9.5%. In order to do so, she must do which of the following?a. Sell some of her bonds and use the proceeds to purchase stocks b. Sell some of her stocks and use the proceeds to purchase bonds c. Place the entirety of her portfolio in bonds d. Accept a lower average annual rate of return i dare u to get this rightmy sister needs help Please help with this problem ,what is 5 x 6 Whats the answer ?? The delegates at the Constitutional Convention agreed to-? Describe the three types of party systems and give examples of each. A and b are complementary angles, a measures 44, what is the measure of b? You earn $50,000 per year, and paid 10 percent in taxes this year. The government increased the tax rate to 20 percent for nextyear. Which amount will you pay in taxes next year?A) $1,000B) $2.000C) $5,000D) $10.000 HURRY I NEED HELP!! Please answer!! Which of these is true about a joint stock company? Congress disapproved of President Johnsons attempt to fire Secretary of WarHenry Winter Davis.Benjamin Wade.Robert E. Lee.Edwin Stanton.