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zaharov [31]
3 years ago
7

Trong has 16% of each paycheck automatically deposited to his savings account. His last paycheck was $2,285. How much money, in

dollars, was deposited to Trong's savings account? (hint: the answer is not 259.80 or 259.8)
Mathematics
1 answer:
SIZIF [17.4K]3 years ago
6 0

Answer:   2,650.60

Step-by-step explanation:

take 2285 multiply by 16% or 0.16 and u get $365.6 then add that to ur base number 2285 to get $2,650.60. hope this helps please give me brainliest. Thank you.

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0.|4| in a fraction<br> (simplify)
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Answer:

2/5

Step-by-step explanation:

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3 years ago
A carnival costs $10.50 to enter plus an additional $3.50 per ticket rides and food.
Digiron [165]

Answer:

A:y=10.50+3.5x

B:80.5

8 0
3 years ago
Which statement describe the decimal equivalent of 3/8
Darina [25.2K]

Answer:

Hi! The answer to your question is 0.375

Step-by-step explanation:

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4 0
3 years ago
Where should the point P be chosen on line segment AB so as to maximize the angle θ? (Assume a = 4 units, b = 5 units, and c = 9
taurus [48]
From the figure, let the distance of point P from point A on line segment AB be x and let the angle opposite side a be M and the angle opposite side c be N.

Using pythagoras theorem,
\tan M= \frac{a}{b-x} \\ \\ M=\tan^{-1}\left(\frac{a}{b-x}\right)
and
\tan N= \frac{c}{x} \\ \\ N=\tan^{-1}\left(\frac{c}{x}\right)

Angle θ is given by
\theta=180-M-N \\  \\ =180-\tan^{-1}\left(\frac{a}{b-x}\right)-\tan^{-1}\left(\frac{c}{x}\right)

Given that a = 4 units, b = 5 units, and c = 9 units, thus
\theta=180-\tan^{-1}\left(\frac{4}{5-x}\right)-\tan^{-1}\left(\frac{9}{x}\right)

To maximixe angle θ, the differentiation of <span>θ with respect to x must be equal to zero.
i.e.
\frac{d\theta}{dx} = -\frac{4}{x^2-10x+41} + \frac{9}{x^2+81} =0 \\  \\ -4(x^2+81)+9(x^2-10x+41)=0 \\  \\ -4x^2-324+9x^2-90x+369=0 \\  \\ 5x^2-90x+45=0 \\  \\ x^2-18x+9=0 \\  \\ x=9\pm6 \sqrt{2}

Given that x is a point on line segment AB, this means that x is a positive number less than 5.

Thus
x=9-6 \sqrt{2}=0.5147

Therefore, The distance from A of point P, so that </span>angle θ is maximum is 0.51 to two decimal places.
6 0
3 years ago
Please help with 1-6
Debora [2.8K]

Answer:

1.) 3

2.) 5

3.) 4

4.) 10

5.) 9

6.) 7


5 0
3 years ago
Read 2 more answers
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