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Irina18 [472]
3 years ago
6

How do you solve this equation? 4 - 2x| + 5 = 9

Mathematics
1 answer:
Savatey [412]3 years ago
7 0

Answer:

x=−2

Step-by-step explanation:

−2x+5−5=9−5

−2x=4

-2x/-2 = 4/-2

x=−2

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An inequality is shown below.
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How do you find the mean absolute deviation MAD
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Most of the time you can go on a website that can cauculate it.

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How to cauculate the MAD:

Take each number in the data set, subtract the mean, and take the absolute value. Then take the sum of the absolute values. Now compute the mean absolute deviation by dividing the sum above by the total number of values in the data set. Finally, round to the nearest tenth.

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A

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You can subtract normally when the square roots are the same( like in your problem) but the squares stay they same and the numbers on the outside change.

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Is 4/6 greater than,less than,or equal to 9/12
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Mary would like to save $10 000 at the end of 5 years for a future down payment on a car
suter [353]

Answer:

a) $161.8

b i) Approximately 327.7 hours

ii) The cost of saving is less but the opportunity cost of saving can be higher with regards to technology and regulation

Step-by-step explanation:

The amount Mary would like to save, FV = $10,000

The time Mary over which Mary intends to save the amount, t = 5 years

Therefore, the number of monthly payments, n = 12

a) The amount in interest the bank pays compounding, i = 1.2% per annum

The amount that Mary will deposit each month is given as follows;

The compound interest formula is given as follows;

PMT = \dfrac{FV}{\left (\dfrac{ \left (1 + \dfrac{i}{12}  \right )^n - 1}{ \dfrac{i}{12}} \right)}

Where;

PMT = The monthly payment

Therefore, we get;

PMT = \dfrac{10,000}{\left (\dfrac{ \left (1 + \dfrac{0.012}{12}  \right )^{60} - 1}{ \dfrac{0.012}{12}} \right)} \approx 161.8

PMT = 10,000/((1 + 0.012/12)^(60) - 1)/(0.012/12)) ≈ 161.8

The amount she needs to deposit monthly, PMT ≈ $161.8

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The number of hours work needed = 161.8/79 × 160 ≈ 327.7 hours a month approximately

b ii) Given that the interest rate for saving is lower than the interest rate for borrowing, the amount paid by saving is much lesser than the amount paid back when borrowing, therefore, it is more cost effective to save

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3 years ago
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