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enot [183]
3 years ago
6

For the month of April which option would be better? 1. To be gifted $1,000,000 once only on April 1st. OR 2. To receive a penny

on April 1st and then double that amount on April second and then each day of the month after that you receive double the amount you got the day before? For this option show how much you get each day of the month and then how much it adds up to for the whole month. a.) Would there be a way to get the total without adding each amount for the 30 days? Please describe with detail. b.) Which tools, diagrams, or methods best helped you figure this out? Be honest.c) On your first instinct, before figuring this out, which option did you expect to be the best?
Mathematics
1 answer:
SVETLANKA909090 [29]3 years ago
4 0

Answer:

a.) April has 30 days

If you for option No.2, you would have:

[day, amount($)]

1, 0.01

2, 0.02

3, 0.04

4, 0.08

5, 0.16

6, 0.32

7, 0.64

8, 1.28

9, 2.56

10, 5.12

11, 10.24

12, 20.48

13, 40.96

14, 81.82

15. 163.48

16, 327.68

17, 655.36

18, 1310.72

19, 2621.44

20, 5242.88

21, 10,485.76

22, 20,971.52

23, 41,943.04

24, 83,886.08

25, 167,772.16

26, 335,544.32

27, 671,088.64

28, 1,342,177.28

29, 2,684,354.56

30, 5,368,709.12

Option 2 grants you more than 5 times as much as Option A and is therefore obviously better.

b.) A diagram would show first a slow rise, than a steeper and steeper rise, then would almost growvertically. exponential growth

#coronatime

The most elegant form to describe the given numbers would simply be

$=1*2^x

You start with one, eich doubles after a day (x=1). x is the number of days and how often you multiply by 2

c.) Wasn't sure without calculating, but I guessed Opt.2, because it seemed that one should be tricked into choosing Opt.1

Have a nice day

Brainliest would be appreciated

If there are questions left, feel free to ask them

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An=a1r^(n-1)

given
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1/24=a1r^4
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(a1r^9)/(a1r^4)=r^5=(1/768)/(1/24)=1/32

r^5=1/32
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times both sides by 16/1
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3 years ago
If a ÷ b = 2 and b ÷ c =3/4, what is the value of c ÷ a? Express your answer as a common fraction.
liberstina [14]

Answer:

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Pyramid A is a right square pyramid with a height of 100 m and a square base with a perimeter of 356 m. Pyramid B has a square b
Tomtit [17]

Answer:

The volume of pyramid B is 3.5 times greater than the volume of pyramid A

Step-by-step explanation:

The area of squared based a pyramid is given by:

Area = \frac{1}{3}*s*s*h

Where 's' the length of the side of the base and 'h' is the height.

For pyramid A:

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s= 356/4 = 89 m

Area_A = \frac{1}{3}*89*89*100\\Area_A=264,033.33\ m^3

For pyramid B:

h= 215 m

s= 456/4 = 114 m

Area_B = \frac{1}{3}*114*114*215\\Area_B=931,380\ m^3

Pyramid B has a greater volume and the ratio between volumes is:

\frac{Area_B}{Area_A} =\frac{931,380}{264,033.33}\\\frac{Area_B}{Area_A} =3.5

3 0
3 years ago
Two angles are vertical angles. One angle is ( 8x + 15 ) and the other angle is 143. Solve for x.
sineoko [7]

Answer:

x = 16

Step-by-step explanation:

Verticle angles are always congruent, so:

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Now, we can solve to isolate x:

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You can always plug in the value of x to the original equation to check your answer:

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