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4 years ago

Simplify. x² − x − 30÷x² − 12 x + 36

1 answer:

7 0

(x² - x - 30)/(x² - 12x + 36)
Factor: [(x-6)(x+5)]/[(x-6)(x-6)]
Simplify: (x + 5)/(x - 6)

Reminder that x ≠ 6 (because it would make the expression undefined)

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3 years ago

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1,132 people came to watch the balloon festival.

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3 years ago

117. Sami opens an account and deposits $100 into it at the end of each month. The account earns 2% per year compounded monthly.

Sergio [31]

Answer:

The explicit function is:

$S_{n} =Pz^{n-1} +C(\frac{z^{n-1}-1}{z-1} )$

where

$z=(1+\frac{0.02}{12})$

and we calculate S12:

$S_{12} = $1211.06$

Step-by-step explanation:

Expanding a few steps of the compound interest:

$S_{1}=100\\S_{2}=S_{1}(1+\frac{0.02}{12})+100\\S_{3}=S_{2}(1+\frac{0.02}{12})+100\\...\\S_{n}=S_{n-1}(1+\frac{0.02}{12})+100$

We can write:

$(1+\frac{0.02}{12})=z$

$100=C$ for deposits

Then, expanding the previous equations would yield:

$S_{1}=C\\S_{2}=Cz + C\\S_{3}=Cz^{2}+Cz + C\\S_{n}=Cz^{n-1} +...+Cz+C$

This is a geometric series form, which can be simplified to:

$S_{n}=C(\frac{z^{n}-1}{z-1} )$

plugin in the values for the 12 month gives:

$S_{12}=100(\frac{(1+\frac{0.02}{12})^{12} -1}{\frac{0.02}{12}})=1211.0613$

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3 years ago

Patty has a checking account at a local bank. The monthly checking fee is $10, including any checks she writes. Nonbank ATM with

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Answer:

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Step-by-step explanation:

1. You add 700+300 which is 1000

2. You subtract the amount wasted or withdrawn which will get you 880

3. You subtract the fees which will then get you 868 as your answer

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3 years ago

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Answer:

E. x² + 11x - 42 = 0

Step-by-step explanation:

let the square sides be x

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3 years ago