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sesenic [268]
3 years ago
5

100 POINT QUESTION!!

Mathematics
1 answer:
-BARSIC- [3]3 years ago
8 0

Answer:

$313.78

Step-by-step explanation:

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A circuit contains two capacitors rated at 0.02 microfrads and 0.05 microfrads connected in series the circuits Source voltage i
Neporo4naja [7]

Answer:

  about 0.0143 microfarads

Step-by-step explanation:

The effective capacitance of capacitors in series is the reciprocal of the sum of their reciprocals:

  1/(1/0.02 +1/0.05) = 1/(50+20) = 1/70 ≈ 0.0143 . . . microfarads

8 0
4 years ago
A customer buys a different book that has an original selling price of $38. The book is discounted 25%. The customer must pay a
Marina CMI [18]

Answer:

$30.21

Step-by-step explanation:

100% -25%= 75%

Discounted price of the book

= 75% ×$38

= $28.50

Since the customer must pay an additional 6% of the discounted price,

percentage of discounted price paid

= 100% +6%

= 106%

Total amount paid

= 106% × $28.50

= $30.21

_________________________________

Alternative working:

Original selling price= $38

Since the book is discounted 25%,

100% ----- $38

1% ----- $0.38

75% ----- 75 ×$0.38= $28.50

Since the sales tax is based on the discounted price, we let the discounted price be 100%.

100% ----- $28.50

1% ----- $0.285

106% ----- 106 ×$0.285= $30.21

∴ The total amount the customer pays for the discounted book is $30.21.

7 0
3 years ago
A line has y intercept -6 and a x-intercept - 12. what is the equation of the line
koban [17]

Answer:

\boxed{y = -\dfrac{1}{2}x-6}}

Step-by-step explanation:

The equation for a straight line is

y = mx + b

where m is the slope of the line and b is the y-intercept.

The line passes through the points (-12, 0) and (0, 6)

(a) Calculate the slope of the line

\begin{array}{rcl}m & =&\dfrac{y_{2} - y_{1}}{x_{2} - x_{1}}\\\\ & = &\dfrac{6 - 0 }{0 - (-12)}\\\\& = &\dfrac{6}{-12}\\\\& = & -\dfrac{1}{2}\\\end{array}

(b) Write the equation

The y-intercept is at x = -6.

\text{The equation for the line is $\boxed{\mathbf{y = -\dfrac{1}{2}x-6}}$}

The diagram shows the graph of the line passing through the two intercepts.

5 0
3 years ago
The equation of a circle is given below.<br> x^2?+ (y - 7.5)^2 = 9/49<br> What is its center?
adoni [48]

Answer:

(0,7.5)

Step-by-step explanation:

8 0
3 years ago
I need help with this problem
gizmo_the_mogwai [7]

Answer:

what she sells each t-shirt for.

Step-by-step explanation:

if f(x) is the profit and x=# of t-shirts,

the rate of change is 8, which is what she sells each t-shirt for.

The 100 that is subtracted, is the money that she spent on materials.

For eg, if she sells 8 t-shirts she makes $64, but she spent $100 before and didn't gain any profit, having not made up $36 from what her original spending was.

8 0
3 years ago
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