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3 years ago

AB and BC are tangent to circle D. Find x if AB = 2x + 9 and BC = 3x + 6. Find x.

2 answers:

6 0

It woulds be x+15 because if you take 2x and subtracted from the 3x then you get x and then you add the 9 and 6 witch you get 15

sergij07 [2.7K]3 years ago

4 0

Answer:

the value of X comes out to be equal to 3

Step-by-step explanation:

since AB and BC are tangent to the circle D

then the length of the tangent will be same

AB will be equal to BC

where,

AB = 2 x + 9

and

BC = 3 x + 6

2 x + 9 = 3 x + 6

3 x - 2 x = 9 - 6

x = 3

hence, the value of X comes out to be equal to 3

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$7000 is compounded semiannually at a rate of 11% for 21years Find the total amount and round to the nearest cent

photoshop1234 [79]

$\text{Given that }\$7000 \text{ is compounded semiannualy at a rate of }11\% \text{ for 21 years}\\
\\
\text{we know that the amount after t year when compounded is given by}\\
\\
A=P\left ( 1+\frac{r}{n} \right )^{nt}\\
\\
\text{here P is the principal amoount, so }P=7000,\\
\\
\text{r is the interest rate, }r=11\%=0.11\\
\\
\text{n is the number of times in a year, here semiannulay, so }n=2,\\
\\
\text{and t is the time, so }t=21\\
\\
\text{so the amount after 21 years is}$

$A=7000\left ( 1+\frac{0.11}{2} \right )^{2(21)}\\
\\
\Rightarrow A=7000\left ( 1+0.055 \right )^{42}\\
\\
\Rightarrow A=7000\left ( 1.055 \right )^{42}\\
\\
\Rightarrow A\approx 66328.68$

So the amount after 21 years is: $66328.68

7 0

3 years ago

A podcast is 180 minutes long. During the podcast there are more than 48 minutes of commercials.

irina [24]

127-79/4(48)-56a
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3 0

2 years ago

Which function is graphed below?<br> f(x) = -cos(x)<br> f(x) = cos(x)<br> fx) = sin(x)

andrey2020 [161]

Answer:

cos(x)

Step-by-step explanation:

4 0

2 years ago

What is the range of the relation shown below?<br> {(-1, -3), (5, 5), (2, 2), (3, 0)}

poizon [28]

(-1,-3) is the smallest and (5,5) is the largest. you have to subtract them.

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3 years ago

Miller Company’s total sales are $123,000. The company’s direct labor cost is $14,760, which represents 30% of its total convers

lana66690 [7]

Direct labor cost = $14760

This is 30% of total conversion cost so, conversion cost = 14760/30%

= $49200

Total conversion cost = Direct labor + Manufacturing overhead

Manufacturing overhead = Total conversion cost - Direct labor

=49200-14760 = $34440

Hence, The total manufacturing overhead cost= $34440

Direct labor = $14760

This is 40% of prime cost. So total prime cost = 14760/40%

= $36900

Total prime cost = Direct material + Direct labor

Direct material = Total prime cost - Direct labor

= 36900 - 14760 = 22140

Hence, the total direct materials cost = $22140

Total manufacturing cost = Direct materials + Direct labor + Manufacturing overhead

= 22140+14760+34440 = $71340

Variable selling and administrative cost = 5% of 123000

=$ 6150

Total variable cost = Direct materials + Direct labor + Sales commission

= 22140 + 14760 + 6150 =$43050

Fixed selling and administrative expense = Total selling and administrative expense - Sales commission = 18450-6150 = $12300

Total fixed cost = Manufacturing overheads + Fixed selling and administrative expense

= 34440+12300 = $46740

Total contribution margin = Sales - Total variable cost

= 123000 - 43050 = $79950

6 0

2 years ago

Read 2 more answers