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sertanlavr [38]
3 years ago
9

Pls help I need to know how much the penny will be by the end

Mathematics
1 answer:
GaryK [48]3 years ago
8 0

Answer:

Day 1: $.01

Day 2: $.02

Day 3: $.04

Day 4: $.08

Day 5: $.16

Day 6: $.32

Day 7: $.64

Day 8: $1.28

Day 9: $2.56

Day 10: $5.12

Day 11: $10.24

Day 12: $20.48

Day 13: $40.96

Day 14: $81.92

Day 15: $163.84

Day 16: $327.68

Day 17: $655.36

Day 18: $1,310.72

Day 19: $2,621.44

Day 20: $5,242.88

Day 21: $10,485.76

Day 22: $20,971.52

Day 23: $41,943.04

Day 24: $83,886.08

Day 25: $167,772.16

Day 26: $335,544.32

Day 27: $671,088.64

Day 28: $1,342,177.28

Day 29: $2,684,354.56

Day 30: $5,368,709.12

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BC¯¯¯¯¯ is parallel to DE¯¯¯¯¯.
Nuetrik [128]

If BC is parallel to DE then ∠D ≅ ∠B and ∠E ≅ ∠C. Therefore

ΔABC is similar to ΔADE.

The sides of smaller triangle are in proportion with sides of bigger triangle.

Therefore we have the equation:

\dfrac{AC}{AE}=\dfrac{AB}{AD}

We have AC = x, AE = x + 15, AB = 8, AD = 8 + 10 = 18.

Substitute:

\dfrac{x}{x+15}=\dfrac{8}{18}               <em>cross multiply</em>

18x=8(x+15)           <em>use distributive property a(b + c) = ab + ac</em>

18x=8x+120             <em>subtract 8x from both sides</em>

10x=120          <em>divide both sides by 10</em>

\boxed{x=12}

<h2>Answer: AC = 12</h2>
3 0
3 years ago
What is the range of the function f(x)=26-2x
Arlecino [84]

Answer:

(-infinity to infinity)

Step-by-step explanation:

4 0
3 years ago
Vishal deposits $65 into a new savings account. The account earns 7.5% interest per year. No money is added or removed
Black_prince [1.1K]

Answer:

$79.23 After 3 years

Step-by-step explanation:

Use I P R T it's a method for simple interest

I = Interest

P = Amount of money

R = Percent in decimal

T = Time in years

Answer:

I = x (we dont know yet)

P = $65

R = 7.5% = 0.075

T = 3 years

Steps:

1. Set up your numbers with the method I P R T.

2. $65 will be your amount of money.

3. 7.5% needs to be converted because you will need to multiply later on in the problem. Simply move 2 places to the left to convert your percent into a decimal.

4. They want to know the total amount of money in his account at the end of 3 years. So 3 years will be your time in years.

5. After setting up your problem you need to multiply your Amount of money x percent as decimal x time in years.

65(0.075)(3)=14.63\\ Interest\\

6. After you find your interest you need to add your amount of money + interest.

65 + 14.63 = 79.23 Money after 3 years

hope this helped

8 0
3 years ago
Determine the number of terms, n, given the geometric series -1 - 2 - 4 - 8 - ... and Sn=−31.
Gemiola [76]

Answer:

5

Step-by-step explanation:

We are given the geometric series:

-1, - 2, - 4, - 8.......

In the geometric series above, the common ratio = second term/first term = -2/-1

= 2

Where common ratio is greater than 1(r >1)

The sum of a geometric progression =

Sn = a(rⁿ -1)/r - 1

In the question we are asked to find the number of term = n

Sn = -31

a = -1

r = 2

Hence,

-31 = -1(2ⁿ - 1)/2 - 1

-31 = -1(2ⁿ - 1)

-31 = -2ⁿ + 1

2ⁿ = 1 + 31

2ⁿ = 32

2ⁿ = 2^5

n = 5

Therefore, the number of terms(n) = 5

3 0
4 years ago
-3(3а - 8) = -3<br>solve for a and show your work ​
bija089 [108]
The answer to the question is a=3

4 0
3 years ago
Read 2 more answers
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