1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Valentin [98]
3 years ago
5

Purse A which contains $1,000 today. If you leave it alone, it will contain $1,200 tomorrow (by magic). The next day, it will ha

ve $1,400. This pattern of $200 additional dollars per day will continue. Purse B which contains 1 penny today. Leave that penny in there, because tomorrow it will (magically) turn into 2 pennies. The next day, there will be 4 pennies. The amount in the purse will continue to double each day. How much money will be in each purse after a week? After two weeks? The genie later added that he will let the money in each purse grow for three weeks. How much money will be in each purse then? Which purse contains more money after 30 days?Purse A which contains $1,000 today. If you leave it alone, it will contain $1,200 tomorrow (by magic). The next day, it will have $1,400. This pattern of $200 additional dollars per day will continue.
Purse B which contains 1 penny today. Leave that penny in there, because tomorrow it will (magically) turn into 2 pennies. The next day, there will be 4 pennies. The amount in the purse will continue to double each day.
How much money will be in each purse after a week? After two weeks?
The genie later added that he will let the money in each purse grow for three weeks. How much money will be in each purse then?
Which purse contains more money after 30 days?
Mathematics
1 answer:
Rufina [12.5K]3 years ago
4 0

Answer:

<u>After a Week(7 days)</u>

Purse \:A: \$2200\\Purse B: \$0.64

<u>After 2 Weeks(14 days)</u>

<u />Purse \:A: \$3600\\Purse B: \$81.92<u />

<u>After 3 Weeks(21 days)</u>

<u />Purse \:A: \$5000\\Purse B: \$10485.76<u />

<u>After 30 days</u>

<u />Purse \:A: \$6800\\Purse B: \$5368709.12<u />

Therefore, Purse B contains more money after 30 days.

Step-by-step explanation:

<u>Purse A</u>

The amount of money($1000) in purse A for each consecutive day grows with $200. The sequence is written as:

1000,1200,1400,...

This is an arithmetic sequence with the first term being $1000 and the common difference $200.

Therefore, for any number of day, n, the amount of money in the purse,

T_n=1000+200(n-1)

<u>Purse B</u>

1 Penny=$0.01

The amount of money(1 Penny) in purse B for each consecutive day doubles. The sequence is written as:

0.01,0.02,0.04,...

This is a geometric sequence with the first term being $0.01 and the common ratio 2.

Therefore, for any number of day, n, the amount of money in  purse B,

T_n=0.01(2)^{n-1}

<u>After a Week(7 days)</u>

Purse \:A: T_7=1000+200(7-1)=\$2200\\Purse B: T_7=0.01(2)^{7-1}=\$0.64

<u>After 2 Weeks(14 days)</u>

<u />Purse \:A: T_{14}=1000+200(14-1)=\$3600\\Purse B: T_{14}=0.01(2)^{14-1}=\$81.92<u />

<u>After 3 Weeks(21 days)</u>

<u />Purse \:A: T_{21}=1000+200(21-1)=\$5000\\Purse B: T_{21}=0.01(2)^{21-1}=\$10485.76<u />

<u>After 30 days</u>

<u />Purse \:A: T_{30}=1000+200(30-1)=\$6800\\Purse B: T_{30}=0.01(2)^{30-1}=\$5368709.12<u />

You might be interested in
How do u find the area of this figure
lorasvet [3.4K]
For the triangle use 14 for the height and 9 for the base. use the formula 1/2bh and multiple it by two.
for the circle do 3.14 times 9 squared and divided it by two. formula 3.14r^2.
the answer should be 317.34
hope this helps.
7 0
3 years ago
A soccer league has 180 players. Of those players 50% are boys. How many boys are in the soccer league?
yarga [219]

Answer:

90 boys

Step-by-step explanation:

There are 180 players

Multiply by the percent that are boys to find the number of boys

180 * 50%

180 * .50

90

6 0
3 years ago
Read 2 more answers
What is 6,007,200 in expanded and word form?
katrin [286]
Six million seven thousand two hundred
7 0
4 years ago
Read 2 more answers
Help help help pls :)
kykrilka [37]

Answer:

opposite\approx 70.02

Step-by-step explanation:

The triangle in the given problem is a right triangle, as the tower forms a right angle with the ground. This means that one can use the right angle trigonometric ratios to solve this problem. The right angle trigonometric ratios are as follows;

sin(\theta)=\frac{opposite}{hypotenuse}\\\\cos(\theta)=\frac{adjacent}{hypotenuse}\\\\tan(\theta)=\frac{opposite}{adjacent}

Please note that the names (opposite) and (adjacent) are subjective and change depending on the angle one uses in the ratio. However the name (hypotenuse) refers to the side opposite the right angle, and thus it doesn't change depending on the reference angle.

In this problem, one is given an angle with the measure of (35) degrees, and the length of the side adjacent to this angle. One is asked to find the length of the side opposite the (35) degree angle. To achieve this, one can use the tangent (tan) ratio.

tan(\theta)=\frac{opposite}{adjacent}

Substitute,

tan(35)=\frac{opposite}{100}

Inverse operations,

tan(35)=\frac{opposite}{100}

100(tan(35))=opposite

Simplify,

100(tan(35))=opposite

70.02\approx opposite

4 0
2 years ago
Help!!! What is 762.457 X 6.34
MatroZZZ [7]
Hello There
Its pretty tricky but here is your answer
<span>4833.977
Want full answer? here
</span>
<span>4833.97738

Good luck brainy
</span>
5 0
3 years ago
Other questions:
  • A right rectangular prism is shown.
    14·1 answer
  • Keisha and David each found the same value for cosine theta, as shown below, given Sine theta = Negative StartFraction 8 Over 17
    7·2 answers
  • What is the nth term in the sequence:<br> -5, -2 ,3 ,10 , 19<br> Please show working out
    8·1 answer
  • Help!! need answer now! Michelle jumps from a plane at an altitude of 1000 m. After 10 seconds her parachute opens. The graph sh
    9·2 answers
  • 12x=4(x-5) then x equals?
    10·2 answers
  • What is the area of the trapezoid shown below?
    15·2 answers
  • What is the square root of 82
    7·2 answers
  • No linksWhich value completes the equation?
    8·1 answer
  • Graph of y = log(-x)?
    9·1 answer
  • The cost (in dollars) of a basic music streaming service for m months
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!