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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.

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Answer:

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Step-by-step explanation:

For Question 1:

Step 1: Replace the x values

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Now you get...

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(Remember, if an x value is beside a number, and it is replaced, that replaced number is to be multiplied with the number the previous x value was.)

Parentheses first, Multiplication second, Addition third (look at PEMDAS below :) )

Step 2: Multiply and Add

(9 x 3) + (2 x 5)

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For Question 2:

Step 1: Replace the x and y values

m = 1, p = 5

Now your equation should look like this:

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Now, which one to do first? Use the PEMDAS strategy

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You have to do it from top to bottom

Division comes first, which means, you have to divide first, then add:

2 ÷ 5 = 2/5

2/5 + 1 = 1 2/5

Hope this helps :)

-jp524

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3 years ago
Why is it important to study parallelograms?
motikmotik

Answer:

Step-by-step explanation:

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