A student decides she wants to save money to buy a used car, which costs $2600. She comes up with what she thinks is a very modest savings plan. She decides to save 2 cents the first day and double the amount she saves each day thereafter. On the second day she plans to save 4 cents, on the third day, 8 cents, and so on. Determine how long it will take her to save enough money to buy the car ?

Answers

Answer 1

Answer:

17 days

Step-by-step explanation:

as you see, 4=2^2

and 8=2^3

so we have a number sequence:

2+2^2+2^3+...+2^n=260000 (1)

multiply (1) by 2 we have:

2^2+2^4 +...+2^(n+1)=520000 (2)

(2) minus (1) we have:

2^(n+1)-2=260000

2^n*2=260002

2^n=130001

and we have 2^17=131072 >130001

so it will take her at least 17 days to buy the car

Answer 2

It will take her about 17 days to buy the car worth 260000 cents

If a student decides she wants to save money to buy a used car that cost $2600 (260,000 cents)

If she saves 2 cents the first day and doubles the amount thereafter, the sequence of savings will be:

2, 4, 8...

This sequence is geometric in nature

In order to determine how long it will take her to save 260,000, we will use the sum of a GP formula expressed as:

[tex]S_n = \frac{a(r^n-1)}{r-1}[/tex]

Given the folowing

a = 2

r = 4/2 = 8/4 = 2

Sn = 260,000

Substitute into the formula the given parameters

[tex]260000= \frac{2(2^n-1)}{2-1}\\260000/2=2^n-1\\130000 = 2^n - 1\\2^n = 130000 + 1\\2^n = 130001\\nlog 2=log130001\\n = \frac{log130001}{log2} \\n \approx 17[/tex]

This shows that it will take her about 17 days to buy the car worth 260000 cents

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Related Questions

what is 12-(-3)-2(4)

Answers

Answer:

7

Step-by-step explanation:

12-(-3)-2(4)

12-(-3)-8

15-8=7

12- (-3) - 2(4) = 12 + 3 - 8 = 7
Ok done. Thank to me :>

can someone plssssssss help me

Answers

Answer:quizlet helps

Step-by-step explanation:

Breakfast eaten and the slim camp-outfit lashed to the sled, the men turned their backs on the cheery fire and launched out into the darkness. At once began to rise the cries that were fiercely sad—cries that called through the darkness and cold to one another and answered back. Conversation ceased. Daylight came at nine o'clock. At midday the sky to the south warmed to rose-colour, and marked where the bulge of the earth intervened between the meridian sun and the northern world. But the rose-colour swiftly faded. The grey light of day that remained lasted until three o'clock, when it, too, faded, and the pall of the Arctic night descended upon the lone and silent land.

As darkness came on, the hunting-cries to right and left and rear drew closer—so close that more than once they sent surges of fear through the toiling dogs, throwing them into short-lived panics.

At the conclusion of one such panic, when he and Henry had got the dogs back in the traces, Bill said:

"I wisht they'd strike game somewheres, an' go away an' leave us alone."

"They do get on the nerves horrible," Henry sympathized.

They spoke no more until camp was made.

The introductory paragraph to this section of text starts with breakfast and ends with the setting of Arctic sun. How does this short paragraph add to the conflict in the story? (5 points)

It suggests time is running out before the story even begins.
It suggests the cold will only increase in the coming days.
It suggests the days are intense but beautiful.
It suggests the characters do not get far during the short days. I AM GIVING 100 POINTS!!!

Answers

Answer:

It suggests the days are intense but beautiful.

Step-by-step explanation:

According to the introductory paragraph that starts with breakfast and ends with the setting of Arctic sun. This short paragraph adds to the conflict in the story because It suggests the days are intense but beautiful.

Although the question is incomplete, i can infer that the story you are referring to is White Fang by Jack London, where the story is told of the people talking about events happening around them.

They talk about the sun and the work around them and also the cold. How thsir short conversation added to the conflict in the story is that It suggests the days are intense but beautiful

3 movie tickets cost 3690$. At this rate, the cost per ticket is $....

Answers

Answer: The cost per ticket is $1,230.

Explanation: 3,690/3 = 1,230.

Answer: The cost for each ticket is $1,230.

Step-by-step explanation:

I WILL GIVE BRAINLEST AND 50 POINTS
Katrina was training for a race. The line plot below shows the number of miles Katrina ran last week.



3. How many times did Katrina run 1 mile?

Answers

Answer:

Katrina ran 1 mile 3 times! I hope this helps you!

Kevin and Randy Muise have a jar containing 34 coins, all of which are either quarters or
nickels. The total value of the coins in the jar is $5.30. How many of each type of coin do
they have?

Answers

Answer:

20 quarters quarters 14 nickles

5. A spool of nbbon comes with 24 feet of ribbon If 2 yards of ribbon are cut off, how much remains on the spool? 26 fee 22 feet 20 feed 18 fed​

Answers

Answer:

It is 18 feet

Step-by-step explanation:

The remaining spoon of ribbon will be; 22 feet.

What is the unitary method?

The unitary method is a method for solving a problem by the first value of a single unit and then finding the value by multiplying the single value.

We have been given that a spool of ribbon comes with 24 feet of ribbon If 2 yards of ribbon are cut off, then

WE need to find the remaining spoon of ribbon after excluding the 2 yards of ribbon.

The remaining spool can be calculated by the difference;

24 feet of ribbon - 2 yards of ribbon

24 - 2 = 22

Therefore, the remaining spoon of ribbon will be; 22 feet.

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The ratio of girls to boys in a bicycling club was 2:3 they were 27 boys how many total members were there in the club

Answers

There were 18 girls because 27 divided by 3 is 9 so then you do 2 times 9 which is 18 :)

Answer:

45

Step-by-step explanation:

Ratio is 2girls:3boys

if there were 27 boys, we would have the following ratio:

2g    xg

--- = ---

3b     27b

To get from 3 to 27, multiply by 9.

Now, do the same for the numerator.

Now we know we have 18 girls!

We can add:

27 boys and 18 girls=

45 members!

What is the circumference of the circle shown below? Use
3.14 for it, round your answer to the nearest tenth.

A) 4.4 yd
B) 8.8 yd
C) 43.9 yd
D 87.9 yd

Answers

Answer:

Its B

Step-by-step explanation:

solving for G

goal is to isolate the variable by undoing in the reverse of the order of operation.

4=2(3g+2)

Answers

Answer:

g = 0

Step-by-step explanation:

4 = 2(3g + 2) ← divide both sides by 2

2 = 3g + 2 ( subtract 2 from both sides )

0 = 3g , then

g = 0

It takes 6 hours to clean and detail a luxury car. During the morning of
cleaning, the workers were able to clean for 4 hours. If the variable t stands
for the amount of time the workers have left to clean the windows after lunch,
which of the following units could apply to this variable?

Answers

The correct answer is hours
The correct answer is hours

I need a step by step explanation as well as work

Answers

Answer:

  x = 2

  m = 15/4

  a = 5/4

Step-by-step explanation:

When the "base" lines are parallel, all of the triangles are similar. That means corresponding segments are proportional, including corresponding parts of segments.

We see that x corresponds to a partial segment marked 3. That same top-bottom correspondence has another pair of segments marked 2 and 3. That means x=2.

  x/3 = 2/3   ⇒   x = 2

__

The segments marked 'm' and 'a' are "whole side" segments, so we need to put those in proportions with corresponding whole sides. If we use the bottom side, we find ...

  a/3 = 5/(3+6+3) = 5/12   ⇒   a = 5/4 = 1 1/4 . . . . . multiply by 3

and

  m/(6+3) = 5/12   ⇒   m = 15/4 = 3 3/4 . . . . . multiply by 9

__

  x = 2

  m = 15/4

  a = 5/4

Becky is planning a 2 100-mile trip to St. Louis to visit a college. Her car averages 30 miles per gallon
About

how many gallons will her car use on the trip?

O 12
O 70
067
034

Answers

The number of gallons of fuel required for 200 miles will be 6.7 gallons. The correct option is C.

What is an expression?

In mathematics, expression is defined as the relationship of numbers, variables, and functions using mathematical signs such as addition, subtraction, multiplication, and division.

Given that Becky is planning a two 100-mile trip to St. Louis to visit a college. Her car averages 30 miles per gallon.

The total miles covered in two trips will be,

100 + 100 = 200 miles

The amount of fuel will be calculated as:-

Fuel = 200 /  30

Fuel = 6.7 gallons

Therefore, the fuel quantity will be 6.7 gallons.

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what numbers can multiply to get -55 but also add to get -6

Answers

Answer: 1,  5,  11,  55

How can the equation of a parabola be derived when given the focus and the directrix?


Answers

Answer:

If the focus is to the right of the directrix, then the parabola opens to the right and p>0 . If the focus is to the left of the directrix, then the parabola opens to the left and p<0 .

HOPE ITS HELP

Please help me it’s due in 12 minutes also pls explain why

Answers

Root 25 is the rational number as it equals 5

name a ray with endpoint u

Answers

i don't know hindi ko po alam

a and b

alam ko

A ratio station collects donations for a new board cast tower. The cost of construction is $25.50 per inch. How much does it cost to fund 4.5 inches of the construction?

Answers

Answer:

=$114.750

Step-by-step explanation:

Length of new board cast tower=4.5 Inches

Cost of construction(per inch)=$25.50

To find cost=?

                 =25.50x4.5

                 =$114.750

                      ...................................................................................

The required cost of the construction of a 4.5-inch tower is $114.75.

Given that,
A ratio station collects donations for a new board cast tower. The cost of construction is $25.50 per inch, how much it cost to fund 4.5 inches of the construction is to be determined.

What is simplification?

The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.

here,
The cost of construction is $25.50 per inch.
The cost of 4.5 inches of construction = 25.50 × 4.5 = $114.75.

Thus, the required cost of the construction of a 4.5-inch tower is $114.75.

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Each factory at a candy company has 498 workers. There are 12 factories. )
How many workers are employed at each candy company

Answers

Answer:

5,976 workers

Step-by-step explanation:

498 times 12 = 5976

Answer: 41.5

Step-by-step explanation: you have to do 498 divided by 12 and then you will get your answer.

Help plz no links will mark best answer

Answers

Answer:

20

Step-by-step explanation:

you know the ratio is 4:3 so you do 4+3=7 then you do 140÷7=20 so I bar represents 20

Mrs bai bought 4 boxes of handkerchief for $31.20. There were 12 handkerchief in the box. Find the cost of the 1 handkerchief​

Answers

Answer:

0.65 cents

Step-by-step explanation:

12x4=48 total

31.20/48 = 0.65 cents each

Given: -3x+y=1. Write the equation In general form Ax + By + C =0.
3x - y = -1
3x = y + 1 = 0
-3x + y -1=0​

Answers

The given equations are 3x + y - 1 = 0 and 6x + 2y - 2 = 0.

So,

Equation I = (3x + y = 1) and

Equation II = (6x + 2y = 2)

= { 2(3x + y) = 2}

= 3x + y = 2/2

= 3x + y = 1

So, The given equations are 3x + y = 1 and 3x + y = 1.

Thus, there is one equation in two variables.

So, the given equations have an infinite number of solutions.

Answer:

1st option; 3x-y=-1

Step-by-step explanation:

-3x + y = 1

we can divide through by -1 so that the 'x' value is positive:

3x - y = -1

Find the surface area of the rectangular prism.
6 yd
2 yd
7yd

Answers

Answer:

136

Step-by-step explanation:

The formula you use is as follows:

A=2(WL+HL+HW)

You plug in each number to get this equation

A=2[(6*7)+(2*7)+(2*6)]

A=2(42+14+12)

A=2(68)

A=136

When a data set has an even number of elements, the median is calculated by
A averaging the middle two values
B. subtracting the middle two values
C. eliminating any outliers and recalculating the median
D. eliminating the smallest data value from the set and recalculating the median

Answers

Answer:

A averaging the middle two values

Step-by-step explanation:

When the data set has odd number of elements, the median is the middle value.

When a data set has an even number of elements, the median is calculated by averaging the middle two values.

Select the correct answer.
The function Fx) = sin(x) is graphed on the domain (0,2*pie). Which statement is true about its leftmost point, where x =0 ?

A. The point is minimum
B. The point is maximum
C. The point is between an x-intercept and a maximum
D. The point is an x intercept

Answers

Answer:

D. The point at x = 0 is x-intercept itself.

Step-by-step explanation:

First, substitute x = 0 in f(x) = sin(x) and examine the point and values.

When x = 0, sin(0) = 0.

Hence, the point is (0,0) which is an origin point. It is both x-intercept and y-intercept at the same time.

The point at x = 0 is neither maximum nor minimum since the range of some function is defined in [-1,1] so the minimum value has to be -1 and the maximum value has to be 1.

Thus, A and B are not correct choices.

The C choice would make sense if the value of f(x) did not become 0 when substituting x = 0 in.

Therefore, the correct choice is D as it is an origin point at x = 0 meaning it is both x-intercept and y-intercept.

Answer: D is Correct on edmentum/plato

Step-by-step explanation:

what is the value of x (100 points)

Answers

The value of x in the given triangle is 25

Missing sides of right triangle

The triangle shown is a right triangle.

Each side of the triangle can be found by using the Pythagora's theorem

The Pythagora's theorem states that the "square of the hypotenuse equals the sum of the squares of the other two sides"

Applying the Pythagora's theorem:

[tex]x^2=24^2+7^2\\\\x^2=576+49\\\\x^2=625\\\\x=\sqrt{625}\\\\ x=25[/tex]

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On a​ team, 4 girls and 3 boys scored a total of 57 points. The difference between the number of points scored by the 4 girls and the number of points scored by the 3 boys is 15. Each girl scored the same number of points and each boy scored the same number of points. Find the number of points scored by each girl and each boy.

Each girl scored (BLANK) points.

Answers

Answer:

Each girl scores 8 points while each boy scores 4 points

Step-by-step explanation:

Let the number of point scored by the 7 girls and 2 boys be x and y respectively.

Thus, since 7 girls and 2 boys scored a total of 64 points, then;

7x + 2y = 64 - - - (1)

Also, difference between the number of points scored by the 7 girls and the number of points scored by the 2 boys is 48. Thus;

7x - 2y = 48 - - - (2)

Add eq(1) to (eq 2) to get;

14x = 64 + 48

14x = 112

x = 112/14

x = 8

Put 8 for x in eq(1) to get;

7(8) + 2y = 64

56 + 2y = 64

2y = 64 - 56

2y = 8

y = 8/2

y = 4

Thus,each girl scores 8 points while each boy scores 4 points

hope this helps .

Solve each equation for x.
a(x-b)+bx+c=a+b

Answers

Answer:

[tex]x=\frac{ab+a+b-c}{a+b}[/tex]

Step-by-step explanation:

a(x−b)+bx+c=a+b

Step 1: Add ab to both sides.

−ab+ax+bx+c+ab=a+b+ab

ax+bx+c=ab+a+b

Step 2: Add -c to both sides.

ax+bx+c+−c=ab+a+b+−c

ax+bx=ab+a+b−c

Step 3: Factor out variable x.

x(a+b)=ab+a+b−c

Step 4: Divide both sides by a+b.

[tex]\frac{x(a+b)}{a+b} =\frac{ab+a+b-c}{a+b}[/tex]

[tex]x=\frac{ab+a+b-c}{a+b}[/tex]

Hope this helped! :)

For art class, you need to make a scale drawing of the Parthenon using the scale 1 in. = 5 ft. The Parthenon is 228 ft long.

How long should you make the building in your scale drawing?

The building should be (________) inches long. Round to the nearest tenth if necessary.

Answers

Answer:

228/5= 45.6 inches, rounded is 46 inches

A 3-gallon bottle of fabric softener costs $51.36. What is the price per cup?

Answers

Answer:

$1.07

Step-by-step explanation:

16 cups per gallon

16*3=48cups

51.36/48=1.07

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