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olya-2409 [2.1K]
2 years ago
5

Pauline gets a 2% commission on her sales at her job. She sells $23,500 worth of products in May.

Mathematics
1 answer:
Illusion [34]2 years ago
7 0
470 dollars . 2% Of 23,500
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The function y=60+25sin(pi/6)t, where t is in months and t=0 corresponds to April 15, models the average high temperature in deg
BartSMP [9]

Answer:

The maximum temperature will be of 85 degrees, on July 15.

Step-by-step explanation:

Sine function:

The sine function oscilates between -1 and 1, and it's maximum value is:

\sin{(\frac{\pi}{2})} = 1

y=60+25sin(pi/6)t

The maximum value will occur when \sin{(\frac{\pi t}{6}}) = 1, and it will be of 60 + 25 = 85 degrees.

When will it occur?

First we find the value of t for which the value inside the function sine is \frac{\pi}{2}. So

\frac{\pi t}{6} = \frac{\pi}{2}

\frac{t}{6} = \frac{1}{2}

2t = 6

t = \frac{6}{2} = 3

That is the number of months after April 15, which is 3 months. So July 15.

8 0
3 years ago
Simplify completely the quantity 3 times x to the 4th power plus 5 times x to the 2nd power plus 2 times x all over x.
Elanso [62]

Answer:

(A) 3x^3+5x+2

Step-by-step explanation:

To Simplify:  The quantity 3 times x to the 4th power plus 5 times x to the 2nd power plus 2 times x all over x.

Solution: The given statement can be easily rewritten as:

The quantity 3 times x to the 4th power=3x^4,

5 times x to the 2nd power=5x^2 and

2 times x =2x

Thus, according to the statement, the expression can be written as:

\frac{3x^4+5x^2+2x}{x}

⇒3x^3+5x+2

which is the required simplified expression.

Thus,option A is correct.

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3 years ago
(repost) Can someone please help me with this asap!!!
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Answer:

1) y = 30x (same thing as y = 30x + 0)

2) y = 24x (same thing as y = 24x + 0)

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4) 216

Step-by-step explanation:

Hope this helps :)

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Romashka [77]
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"</span><span>all real numbers between 19 and 54 inclusive" is the range.  Why?  Because in year 3, f(3) = height of tree = 5(3) + 4 = 19 feet.  

In year 10, f(10) = 5(10) + 4 = 54 feet. </span>
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