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Travka [436]
4 years ago
11

Milan puts 1/4 of her lawn mowing money savings and uses 1/2 of the remaining money to pay back her sister.If she has 15$ left,

how much did she have at first?
Mathematics
1 answer:
Feliz [49]4 years ago
6 0

Answer:

$40

Step-by-step explanation:

Let the amount of money she has at first be $x.

She put 1/4 for savings, this means she decides to spend 3/4. The 3/4 is equivalent to (3/4)x

Now, she puts half of the money not saved to pay back her sister and has $15 left.

This means the (3/4)x is equivalent to $30. This is because she used half which is $15 to pay back her sister.

Now, since (3/4)x equals 30, we calculate x

(0.75)x = 30

x = 30/0.75 = $40

She originally had $40

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              3) Neither

<u>Step-by-step explanation:</u>

S_n=S_{n-2}\cdot (S_{n-1}-1)\quad \\\\S_1=2\quad given\\S_2=3\quad given\\S_3=S_1(S_2-1)\quad =2(3-1)\quad =4\\S_4=S_2(S_3-1)\quad =3(4-1)\quad =9\\S_5=S_3(S_4-1)\quad =4(9-1)\quad =32\\S_6=S_4(S_5-1)\quad =9(32-1)\quad =279\\S_7=S_5(S_6-1)\quad =32(279-1)\quad =8,896\\S_8=S_6(S_7-1)\quad =279(8896-1)\quad =2,481,705\\S_9=S_7(S_8-1)\quad =8896(2481705-1)\quad =22,077,238,784

\sum^8_{k=1}S_k\\\\=S_1+S_2+S_3+S_4+S_5+S_6+S_7+S_8\\\\= 2,490,924\\

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                        S₂ - S₁          S₃ - S₂           S₄ - S₃      

                      3 - 2 = 1       4 - 3 = 1          9 - 4 = 5

Not geometric because the ratios between each of the terms is not the same.                

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