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2 years ago

An attorney charges a fixed fee of $220 for an initial meeting. He charges

Mathematics

1 answer:

Musya8 [376]2 years ago

6 0

Answer:

y=125x+220

Step-by-step explanation:

y is cost

125 is the slope since that is the number that increases

x is the amount of hours since he charges 125 per hour

220 is the y intercept or initial value

125 times 32 = 4000. This is the amount charged just off of hours

If you add the initial cost for the initial meeting which is 220. 4000+220=4220

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An investor has an account with stock from two different companies. Last year, her stock in Company A was worth $2690 and her st

Mrac [35]

Answer:

Step-by-step explanation:

let us total the amount in her portfolio

Company A was worth $2690

Company B was worth $2980.

Total = $5670

when The stock in Company A decreases by 20% she will have

$2690 *0.8= $2152

Company A will worth $2152

when The stock in Company B decreases by 10% she will have

$2980 *0.9= $2682

Company A will worth $2682

In all after the decline in are portfolio is $2152+$2682= $4834

the difference for the original amount in her investment is = $5670-$4834

= $836

The total percentage decrease in the investor's stock account

= (836/5670)*100= 0.147*100= 14.7 %

3 0

3 years ago

What is the value of X?

d1i1m1o1n [39]

Answer:

x=10

Step-by-step explanation:

We can use the angle bisector theorem to solve this problem

8 12

-------- = ---------

x+4 2x+1

Using cross products

8(2x+1) = 12(x+4)

Distribute

16x+8 = 12x+48

Subtract 12x from each side

16x -12x +8 = 12x-12x +48

4x +8 = 48

Subtract 8 from each side

4x+8-8 = 48-8

4x = 40

4x/4 = 40/4

x=10

3 0

3 years ago

Please help!!

yarga [219]

Because this is a fourth degree that will be tricky to factor as it is, we will do a u substitution. Let $x^2=u$ . We can now rewrite that polynomial in terms of u: $u^2-7u-8=0$ . Filling into the quadratic formula we have $u=\frac{7+/-\sqrt{49-4(1)(-8)}}{2}$ . Simplifying down $u=\frac{7+/-\sqrt{81}}{2}$ and $u=\frac{7+9}{2}$ or $u=\frac{7-9}{2}$ . That means that u = 8 or u = -1. But don't forget that we let $u=x^2$ , so we have to put x-squared back in for u. That gives us $x^2=8$ which simplifies down to $+/-2\sqrt{2}$ . That also gives us $x^2=-1$ . When we take the square root of -1, we have to use the fact that -1 = i^2, so we sub that in to get $x=+/-i$ . All in all, your solutions are as follows: $2\sqrt{2},-2\sqrt{2},i,-i$ which is choice b.

7 0

2 years ago

Circle O is shown. Line segments B O and O C are radii. Point A is on the circle and is not within angle B O C.

Paha777 [63]

The ratio of major to minor arc = 2 : 1

What is a Circle?

A circle is the locus of a point such that its distance from a fixed point (center) is always constant.

Calculation

The length of an arc (L) with center angle θ is given by:

L = (θ/360) * 2πr

where r is the radius.

Putting the values in the above formula.

For the major arc:

L = (240/360) * 2πr

For the major arc:

l = ((360-240)/360) * 2πr

l = (120/360) * 2πr

The ratio of major to minor arc = [(240/360) * 2πr] / [(120/360) *2πr] = 2 : 1

The ratio of major to minor arc = 2 : 1.

Learn more about the circle here:

brainly.com/question/15125799

#SPJ1

5 0

2 years ago

Suppose legislation requiring the Fed to keep the inflation rate between 1.5% and 2.5% per year is passed by Congress. This law

Alborosie

Answer:

goal independence.

Step-by-step explanation:

The Fed is comprised of 12 regional federal reserve banks and its affairs are been directed by a board of governors. The characteristics fed has, granted to it by the congress, make they to remain very independent from the activities of the executive and legislative arms of the government. The Fed makes different policies and also implement them - which helps to ensure the employment of persons are up at all times and to create stability in prices and that of the interest rates.

4 0

3 years ago