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
Eddi Din [679]
3 years ago
9

An eccentric philanthropist undertakes to give away $100,000. He is eccentric because he insists that each of his gifts be a num

ber of dollars that is a power of two, and he will give no more than one gift of any amount. How does he distribute the money? Dudley, Underwood. Elementary Number Theory: Second Edition (Dover Books on Mathematics) (p. 113). Dover Publications. Kindle Edition.
Mathematics
1 answer:
gavmur [86]3 years ago
3 0

Answer:

Step-by-step explanation:

An eccentric philanthropist undertakes to give away $100,000. He is eccentric because he insists that each of his gifts be a number of dollars that is a power of two, and he will give no more than one gift of any amount. How does he distribute the money?

To solve this problem, we will simply write 1,00,000 in base 2.

2^17 gives 131072, 2^16 gives 65536.

So, the first gift is 65536, we then need to repeat this process for  34,464 ((100,000-65536 = 34,464), to get all gifts in succession.

6 gifts in all: one each of $32, $128, $512, $1024, $32768, and $65536.

You might be interested in
A donut machine can make 3000 donuts in 10 hours. How long would it take the machine to make 600 donuts? How many donuts are mad
lorasvet [3.4K]

Answer:

it would take it 2 hours to make 600 donuts, it makes 5 donuts a minutes

Step-by-step explanation:

Simple math.

3000/10=300 which means 300 donut per hour.

300 x 2 = 600.

300 / 60 = 5.

6 0
2 years ago
Use your knowledge of the process of "Writing an equation given two points" to solve the following problem: A vendor has learned
nydimaria [60]

Answer: Our required linear equation would be x+48y=148

Step-by-step explanation:

Since we have given that

Cost of deep fried bananas on a stick = $1.00

Number of sales reached = 100 per day

Cost of deep fried bananas on a stick becomes = $2.00

Number of sales reached = 52 per day.

Let x is the number of dollars each.

Let y be the number of vendors sale.

So, we need to form the linear equation:

As we know the formula for two point slope form:

y-y_1=\dfrac{y_2-y_1}{x_2-x_1}(x-x_1)\\\\y-1=\dfrac{2-1}{52-100}(x-100)\\\\y-1=\dfrac{1}{-48}(x-100)\\\\-48(y-1)=(x-100)\\\\-48y+48=x-100\\\\-48y=x-100-48\\\\-48y=x-148\\\\x+48y=148

Hence, our required linear equation would be x+48y=148

3 0
3 years ago
How to find components of a vector given magnitude and angle?
Zanzabum
<span>1. Find the magnitude and direction angle of the vector.
2. Find the component form of the vector given its magnitude and the angle it makes with the positive x-axis.
<span>3. Find the component form of the sum of two vectors with the given direction angles.</span></span>
3 0
3 years ago
The functions q and r are defined as follows.<br> HELP PLEASE
dusya [7]

Answer:

-22

Step-by-step explanation:

First do r(3) by replacing x with 3 in r:

2*3^2 + 2 = 2*9 + 2 = 18 + 2 = 20

Then replace r(3) with 20 to do q(20):

-20-2 = -22

7 0
2 years ago
Alana has 100 mL of water in her water bottle. She needs to share it with 3 other students so that all 4 of them have the same a
elena-14-01-66 [18.8K]

Answer:

each person (including Alana) gets 25mL of water

Step-by-step explanation:

since there is 4 ppl, and 100mL of water, you divide 100/4. Therefore, each person gets 25mL of water:)

6 0
3 years ago
Read 2 more answers
Other questions:
  • Round 3.38461370132 to the nearest hundred-thousandth.
    13·2 answers
  • Colby wants to set square tiles on the top of the wooden box the top of the box is a rectangle 7 1/2 inches long and 5 1/2 inche
    6·1 answer
  • Coach Right is looking at his students' running times in order to place students into running groups. He is working on forming a
    12·1 answer
  • C=8/7(k-55) solve for k
    9·1 answer
  • An object falls freely in a straight line and experiences air resistance proportional to its? speed; this means its acceleration
    12·1 answer
  • Help please :(..............
    9·2 answers
  • I need help! Please answer before 4:00 pm today! Thank you so much!
    13·1 answer
  • If Analissa puts 55 seeds into 11 pots, how many seeds does she put in 4 pots?
    7·2 answers
  • Find the area and the circumference of a circle with diameter 5 cm.
    9·1 answer
  • Stu hiked a trail at an average rate of 3 miles per hour. He ran back on the same trail at an average rate of 5 miles per hour.
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!