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Kipish [7]
3 years ago
13

Which expression is equal to square root 3x

Mathematics
1 answer:
liubo4ka [24]3 years ago
7 0

Answer:

(3x)^1/2

Step-by-step explanation:

√3x=(3x)^1/2

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Sally gave her brother $3.95 in quarters and dimes. If the number of quarters is 6 more than the number of dimes, how many quart
White raven [17]
This is $21.00 because I asked the smartest person in the world and she said
$21.00.

5 0
4 years ago
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

b i) Given that the minimum wage varies and we have a minimum wage here is officially approximately $79, which is 160 hours a month work

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

However, while saving, changes may take place, such as the use of what is being saved for, therefore, it can be more beneficial to borrow and make use of the items now while they are still available and acceptable, such as the drive towards net zero is making fuel based cars less popular with the drive being towards electric cars.

7 0
3 years ago
Game Stop is selling a video game for 15% off $35.
defon

Answer:

School related questions please

Step-by-step explanation:

And thanks for telling me

7 0
3 years ago
Read 2 more answers
If the terminal side of an angle (θ) goes through the point (4 , -3) what is (θ)?
almond37 [142]

Answer:

The family of directions of the given vector is represented by \theta = 323.130^{\circ} \pm 360\cdot i, \forall \,i\in \mathbb{N}_{O}.

Step-by-step explanation:

According to the given information, vector stands in the 4th Quadrant (x > 0, y < 0) and direction of the vector (\theta) in sexagesimal degrees, is determined by following definition:

\theta = 360^{\circ} - \tan^{-1} \left(\frac{|y|}{|x|} \right)\pm 360\cdot i, \forall \,i\in \mathbb{N}_{O}

Please notice that angle represents a function with a periodicity of 360°.

If we know that x = 4 and y = -3, then the direction of the vector is:

\theta = 360^{\circ}-\tan^{-1}\left(\frac{|-3|}{|4|} \right)\pm 360\cdot i

\theta = 323.130^{\circ} \pm 360\cdot i

The family of directions of the given vector is represented by \theta = 323.130^{\circ} \pm 360\cdot i, \forall \,i\in \mathbb{N}_{O}.

3 0
3 years ago
Write 383 in expanded form
Oxana [17]
300 + 80 + 3 that’s it
4 0
3 years ago
Read 2 more answers
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