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Anni [7]
3 years ago
5

The school secretary orders a new printer and pays $310.30 after tax. The tax rate is 7%. What was the original price of the pri

nter?
Mathematics
1 answer:
Gwar [14]3 years ago
6 0

Answer:

$288.58

Step-by-step explanation:

310.30/100=3.10

3.10*7=21.72

310.30-21.72=288.58

Therefore the answer is $288.58

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Question 8
yulyashka [42]

Answer:

$760

Step-by-step explanation:

950 x 0.8 = 760

6 0
2 years ago
Find slope of the graph 9x-3y=15
LekaFEV [45]
<h3><u>Explanation</u></h3>
  • Convert the equation into slope-intercept form.

y = mx + b

where m = slope and b = y-intercept.

What we have to do is to make the y-term as the subject of equation.

9x - 3y = 15 \\ 9x - 15 = 3y \\  \frac{9x - 15}{3}  = y

  • Simplify

\frac{9x}{3}  -  \frac{15}{3}  = y \\ 3x - 5 = y  \\ y = 3x - 5

From y = mx+b, the slope is 3.

<h3><u>Answer</u></h3>

\large \boxed {slope = 3}

4 0
3 years ago
An employer has a staff of eighty actuaries, ten of whom are student actuaries. A student actuary is allowed a total of ten week
sergiy2304 [10]

Answer:

0.1111

Step-by-step explanation:

From the given information;

Number of staffs in the actuary = 80

Out of the 80, 10 are students.

i.e.

P(student actuary) = 10/80 = 0.125

number of weeks in a year = 52

off time per year = 10/52 = 0.1923

P(at work || student actuary) = (50 -10/52)

= 42/52

= 0.8077

P(non student actuary) = (80 -10)/80

= 70 / 80

= 0.875

For a non-student, they are only eligible to 4 weeks off in a year

i.e.

P(at work | non student) = (52-4)/52

= 48/52

= 0.9231

∴

P(at work) = P(student actuary) × P(at work || student actuary) + P(non student actuary) × P(at work || non studnet actuary)

P(at work) =  (0.125 × 0.8077) + ( 0.875 × 0.9231)

P(at work) = 0.1009625 + 0.8077125

P(at work) = 0.90868

Finally, the P(he is a student) = (P(student actuary) × P(at work || student actuary) ) ÷ P(at work)

P(he is a student) = (0.125 × 0.8077) ÷ 0.90868

P(he is a student) = 0.1009625 ÷ 0.90868

P(he is a student) = 0.1111

5 0
2 years ago
What is the percentage:<br><br> 16 out of 20
gtnhenbr [62]
16/20= .80
.80 x 100%
=80%
3 0
3 years ago
How many complex roots does the polynomial equation have? −3x4−7x+17=0
zimovet [89]

1) There are two complex roots. A is correct.

2) The function has three real zeros. The graph of the function intersects the x-axis at exactly three locations. D is correct

3) There are four complex roots. B is correct.

4) C is correct.

5)

Step-by-step explanation:

1) Number of complex root.

We can not factor it completely. Because it's prime equation. We will make the graph of  and then see the x-intercept of the graph.

Because number x-intercepts are the zeros of polynomial. Please see the attachment for graph. In graph we can see it cuts only two points but their highest degree is 4. Maximum possible roots are 4 but only 2 are real and 2 are complex.  

Thus, There are two complex roots.

2) This is cubic polynomial function.

Maximum number of zeros should be 3.

Please see the graph with attachment.

Zeros is a value of x where graph cuts x-axis. In graph we can see graph cuts x-axis at three points.

Thus, The function has three real zeros. The graph of the function intersects the x-axis at exactly three locations.

3) This is 4th degree polynomial.

Maximum number of zeros should be 4.

Please see the graph of polynomial.

Zeros is a value of x where graph cuts x-axis. In graph we can see doesn't cut x-axis at any points.

Thus, The function has four complex zeros. The graph of the function does not intersects the x-axis at any point.

4) We are given 3 degree polynomial. We need to factor it. First we split middle term and then factor it.

Now we factor quadratic part using quadratic formula

Complete factor of f(x)

Thus,

5) This is cubic polynomial. We need to factor it.

First we make two group and then factor it

Thus, complete factor of f(x) is (x+3)(x+4i)(x-4i)

8 0
3 years ago
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