Two parallel lines are crossed by a transversal.

Parallel lines r and s are cut by transversal q. On line s where it intersects with line q, the uppercase left angle is 125 degrees and the bottom right angle is d degrees.
What is the value of d

Answer:

(9x+2)^2

Step-by-step explanation:

Answer:

$8,000 in Treasury bills

$7,000 in Treasury bonds

$5,000 in corporate bonds

Step-by-step explanation:

Let the amount to be invested in treasury bills be $x , the amount to be invested in treasury bonds be $y

From the question, we understand that the amount she will invest in corporate bonds will be $3000 less than the amount in treasury bills;

So mathematically, this will be $(x - 3000)

So therefore, the amount invested in each will be;

x + y + x-3000 = 20,000

2x + y = 20,000 + 3000

2x + y = 23,000 ••••••••(i)

Let’s now work with the simple interests;

For treasury bills;

5% = 5/100 * x = 5x/100

For Corporate bonds ;

10% = 10/100 * (x -3000) = (x-3000)/10

For Treasury bonds 7%

7% = 7/100 * y = 7y/100

Adding all gives the total interest;

5x/100 + 7y/100 + (x-3000)/10 = 1390

Multiply through by 100

5x + 7y + 10(x-3000) = 1390 * 100

5x + 7y + 10(x-3000) = 139,000

5x + 7y + 10x -30,000 = 139,000

15x + 7y = 139,000 + 30,000

15x + 7y = 169,000 •••••••••(ii)

So we have two equations to solve simultaneously;

From i, y = 23,000 - 2x

Put this into ii

15x + 7(23,000 -2x) = 169,000

15x + 161,000 - 14x = 169,000

x + 161,000 = 169,000

x = 169,000 - 161,000

x = $8,000

y = 23,000 - 2x

y = 23,000 - 2(8,000)

= 23,000 - 16,000 = $7,000

So the last investment amount is x-3000 = 8,000 -3,000 = $5,000

Answer:

6 times 6=36

Step-by-step explanation:

HOPE THIS HELPS

Answer:

x = -6

Step-by-step explanation:

The  graph of 6x = -36:

Transpose to find x

6x = -36

6x/6 = -36/6

x = -6

Therefore the line should cut your graph at -6 on the x-axis (the horizontal one).

See red line of the image attached.

Answer:

-12

Step-by-step explanation:

Answer:

3

Step-by-step explanation:

12 / 4 = 3

4 can go into 12 three times, so the fraction 12/4 is equal to 3

Answer:

A) 7,950$, B) 7,963.73$, C) Since daily interest means that 6%/365 of 7500 will be added and compounded every day for the given amount of time(in this case, one year), while annual interest means that 6% of 7500 will be added and compounded yearly for the given amount of time(I'm this case, one year).

Step-by-step explanation:

Given the compound interest formula, A = P(1+r/n)^nt, where A = total amount(final amount), P = principle or amount of money deposited(starting amount), r = annual interest rate(percent interest in respect to t ; decimal = %/100), and n = conversion rate(number of times compounded per t; how much is it compounded)

t = time(time in respect to years ; how long it is compounded).

For A) A = 7500( 1 + 6%/365 ) ^ 365 = 7500(1 + 0.06/365) ^365 = 7500(1 + 0.00016438356..)^365= 7500(≈1.0001644^365) = 7500(100.01644%^365) = 7500(≈106.183%) = 7963.725 ≈ 7963.73$

For B) A = 7500( 1 + 6% ) ^ 1 = 7500(1 + 0.06) = 7500(1.06) = 7500(106%) = 7950$

C) this is because compounding something with a higher frequency leads to a different percentage (as n approaches infinity with time proportional to the annual rate, the ratio between the principle and total amount are proportional to e)

Answer: 20 Minutes

Step-by-step explanation:

If you are traveling double the speed, the end time is going to be half of the original time.

Answer:

$63.60

Step-by-step explanation:

4 board games are $15 each, multiply 4*15 = 60.

There is a 6% sales tax, so it is 6% extra. To calculate 6% as a decimal, divide it by 100, so 6/100 = 0.06. Now that it is 0.06 extra, you add 0.06 to 1.00 because 1.00 is the 100% of the price (the $60). So now it is 1.06 of the price. Multiply 60 * 1.06 and you get $63.60

Answer:

60.36 cents

Step-by-step explanation:

you have to times 60 by .6 then you get 36 and that is how much taxes cost.

Answer:

what are the measurements??

Step-by-step explanation:

Answer:

The answer is -19.

Step-by-step explanation:

You have to substitute the x = 5 into the function :

[tex]g(x) = - 3x - 4[/tex]

[tex]g(5) = - 3(5) - 4[/tex]

[tex]g(5) = - 15 - 4[/tex]

[tex]g(5) = - 19[/tex]

Answer:

Slope equals 1 1/2

Answer:

3/2 i think

Step-by-step explanation:

Answer:

x = - 4

Step-by-step explanation:

Given

[tex]\frac{5}{3}[/tex] x + 4 = [tex]\frac{2}{3}[/tex] x

Multiply through by 3 to clear the fractions

5x + 12 = 2x ( subtract 2x from both sides )

3x + 12 = 0 ( subtract 12 from both sides )

3x = - 12 ( divide both sides by 3 )

x = - 4

Answer:

3

Step-by-step explanation:

Given that:

The number of paint sets, Suzanne bought= 6

As each set contains the same number of brushes.

Let x be the number of brushes each set contains.

So, the total number of brushes in 6 sets = 6x.

It is given that the total number of brushes she has is 18, which is equals to 6x.

So, the required equation is

[tex]6x=18[/tex]

[tex]\Rightarrow x=\frac {18}{6}[/tex]

[tex]\Rightarrow x=3.[/tex]

Hence, the number of paint brushes each set contains is 3.

Answer:

x=7

Step-by-step explanation:

Isolate the variable by dividing each side by factors that don't contain the variable.

Step-by-step explanation:

Least No. of tickets is 100

Answer:

least number of ticket is 100

Answer:its b i think

Step-by-step explanation:

Answer: D, polygenis because a trait is controlled by three different genes.

Step-by-step explanation: I got 100 of the test ^^

Answer:

So if 5 soda cost $3.75 per can, multiply 3 times $3.75 and that would be your answer:  $11.25

Step-by-step explanation:

Answer:

FGHIJ : Dilate ABCDE centered at the origin with a scale factor of 0.5, and then rotate the image 180° clockwise about the origin. Finally, translate the image 3 units up and 7 units to the right.

KLMNP : Dilate ABCDE about point C with a scale factor of 2, and then translate the image 6 units to the right and 1 unit up.

QRSTU : No sequence will map ABCDE to QRSTU.

VWXYZ : Reflect ABCDE across y = 0. Next, dilate the image by a scale factor of 0.75 with the center of dilation at the origin. Finally, translate the image 1 unit down and 1 unit to the right.

I hope this helps! I had this question as well.

Answer:

FGHIJ : Dilate ABCDE centered at the origin with a scale factor of 0.5, and then rotate the image 180° clockwise about the origin. Finally, translate the image 3 units up and 7 units to the right.

KLMNP : Dilate ABCDE about point C with a scale factor of 2, and then translate the image 6 units to the right and 1 unit up.

QRSTU : No sequence will map ABCDE to QRSTU.

VWXYZ : Reflect ABCDE across y = 0. Next, dilate the image by a scale factor of 0.75 with the center of dilation at the origin. Finally, translate the image 1 unit down and 1 unit to the right.

Step-by-step explanation:

1 : Go .....

[tex]A= bh \: [/tex]

Divided sides by b

[tex] \frac{A}{b} = h \times \frac{b}{b} \\ [/tex]

thus ;

[tex]h = \frac{A}{b} \\ [/tex]

_________________________________

2 : Go .....

[tex]area = height \times length(base) \\ [/tex]

[tex]45 = h \times 9[/tex]

Divided sides by 9

[tex] \frac{45}{9} = h \times \frac{9}{9} \\ [/tex]

[tex]h = 5 \: ft[/tex]

And we're done...

♥️♥️♥️♥️♥️

Answer: 75%

Step-by-step explanation:

15/20 = 3/4 or 75%

Answer:

[tex]\frac{14}{16}[/tex] simplified to [tex]\frac{7}{8\\}[/tex]

Step-by-step explanation:

[tex]\frac{7}{16} times \frac{2}{1} you get \frac{14}{16} \\this \\simplifies \\to \frac{7}{8}[/tex]

Answer:

The answer is 36.20 :)

Step-by-step explanation:

Answer: 36.20412

Step-by-step explanation: it’s easy when you write it down on paper and then times it

Answer:

Look below.

Step-by-step explanation:

1.) Alternate exterior

2.) Alternate interior

3.) Same-side interior

4.) Vertical

5.) Corresponding

6.) Alternate exterior

Step-by-step explanation:

Issun Sengeki... Messatsu!

Another word for sequence can be order. There's a lot of other examples and synonyms out there, so choose the best one for you!

Quote:

"You've fulfilled your life by allowing me to end it!"

- Akuma

Answer:

F

Step-by-step explanation:

F is the correct graph because the bottom is for minutes and if you drag your finger on the 1 minute you meet 45 which is how many gallon per minute. and if you go to 2 minutes you meet with 90 which is 45+45=90 and 45 is one minute and 90 is 2 minutes.

srry if that was complicated

Hope this helps you!

The graph which best represents the rate of discharge given is graph F.

It is given that discharge rate of a water hose is 45 gallons per minute.

We have to check which graph has a slope that best represents this rate.

What do you mean by discharge rate of water ?

Discharge rate of water is defined as the rate at which drainage water is released from a site.

As per the question ;

The rate of discharge = 45 gallons per minute

So,

We can say that ;

When x = 1 minute

y = 45 gallons

We can conclude that F is the correct graph because the x-axis is for minutes and if you check at time 1 minute you get 45 gallons at the y-axis which shows the no. of gallons per minute.

Thus , the graph which best represents the rate of discharge given is graph F.

To learn more about rate of discharge click here ;

https://brainly.com/question/27401697

#SPJ2

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As x gets larger and larger, all we really care about is the leading terms. This is because 8x^6 is much larger than -16x^3 and 8 for very very large x values. The larger the exponent, the larger the result will be.

So effectively, the leading term 8x^6 dictates the end behavior for the numerator.

In a similar way, the leading term 4x^2 dictates the end behavior for the denominator polynomial.

Divide the two leading terms:

(8x^6)/(4x^2) = (8/4)*x^(6-2) = 2x^4

The rule used here is (a^b)/(a^c) = a^(b-c)

So as x goes to infinity or negative infinity, it's slowly approaching the asymptote y = 2x^4.