If - 4x + 6y = 9 and -2x – 7y = -8 are true equations, what would be the value of -2x + 13y?

If the interest rate is 11½%. The outstanding balance of the loan before that last payment was made is:$40,843.83.

First step is to find the annual interest

Annual interest= $391.42 x 12

Annual interest= $4,697.04

Second step is to calculate the outstanding balance

Outstanding balance=Annual interest/Interest rate

Oustanding balance= $4,697.04/ 11½%,

Outstanding balance =$40,843.826

Outsatnding balance= $40,843.83 (Approximately)

Therefore the outstanding balance of the loan before that last payment was made is:$40,843.83.

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Answer:

1

Step-by-step explanation:

Answer:

y=mx+b. slopes.

Fiona's equation is y=-3x+30. She will have no money after buying 10 of her favorite drink. She starts with $30 and loses $3 each time. She loses at a slower rate than Chester.

Chester's equation is y=-5x+20. He will have no money after buying 4 of his favorite drink. He starts with $20 and loses $5 each time. He loses at a faster rate than Fiona.

Answer:

-y-1

Step-by-step explanation:

Answer:

He should consider using an exuberant amount of yarn to raise money for charity. How much yarn is available?

Answer:

B I think or C or D or it could be A

Answer:

f(x) = 6√7

Step-by-step explanation:

f{g(x)}=h(x)

f(7x+2)=6√7x+2

let y = 7x+2

x= (y-2)/7

f(x)= 6 √7(y-2)/7+2

Thus, f(x) =6√7

Answer:

  19 -d

Step-by-step explanation:

The number Johnson has left is found by subtracting the number he gave away from the number he started with.

  19 -d . . . . . . . number of ice cream bowls left

Answer:

1200 more beats in 3 seconds or

400 more beats in 1 second

Step-by-step explanation:

A Mosquito beats its wings at a rate of 600 times per second.

A honey bee beats its wings at a rate of 200 times per second.

600 - 200 = 400

The mosquito beats 400 more times per second

400 X 3 = 1200

Answer:

I believe its b

Step-by-step explanation:

Answer

i dont know i jus want the points

Step-by-step explanation:

Answer:

a total of 11700 senconds are on 3.25 hours

Answer:

D. 36

Step-by-step explanation:

The formula for a combination :

Here we have ⁹C₇.

There are 36 different ways to arrange ⁹C₇. Therefore, the correct answer is option D.

Given that, ⁹C₇.

The number of combinations of n different things taken r at a time, denoted by nCr and it is given by, nCr=n!/r!(n−r)!,where 0 ≤ r ≤ n.

⁹C₇ = 9!/7!(9-7)!

= 9×8×7!/7!×2!

= 9×8/2×1

= 9×4

= 36

Therefore, the correct answer is option D.

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The volume of the composite fiqure as shown in the diagram above is 300 cm³.

A composite fiqure is a fiqure that can be divided into mor than one of the basic shapes.

Note: The composite fiqure is made up of two different cubiods

To calculate the volume of the composite fiqure, we use the formula below.

Formula:

Where:

Given:

Subsitute these values into equation 1

Hence, The volume of the composite fiqure as shown in the diagram above is 300 cm³.

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Answer:

see explanation

Step-by-step explanation:

(3)

Parallel lines have equal slopes

the equation of a line in sloipe- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

y = [tex]\frac{1}{4}[/tex] x + 5 ⇒ m = [tex]\frac{1}{4}[/tex]

y = 4x + 5 ⇒ m = 4

y = - 4x + 5 ⇒ m = - 4

y = - 4x - 9 ⇒ m = - 4

the 3rd and 4th options have equal slopes and are parallel

(4)

given a line with slope m then the slope of a line perpendicular to it is

[tex]m_{perpendicular}[/tex] = - [tex]\frac{1}{m}[/tex]

y = [tex]\frac{1}{6}[/tex] x + 4 ⇒ m = [tex]\frac{1}{6}[/tex]

y = - [tex]\frac{1}{6}[/tex] x + 5 ⇒ m = - [tex]\frac{1}{6}[/tex]

y = [tex]\frac{1}{6}[/tex] x + 3 ⇒ m = [tex]\frac{1}{6}[/tex]

y = 6x + 3 ⇒ m = 6

note that a slope of m = 6 , has a perpendicular slope of

[tex]m_{perpendicular}[/tex] = - [tex]\frac{1}{6}[/tex]

the 2nd and 4th lines are perpendicular

Answer:

[tex]Y=-\frac{1}{3} + 6[/tex]

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Answer:

12

Step-by-step explanation:

5^2+b^2=13^2

25+b^2=169

169-25=144

b=12

(yes, this is also a triple)

Answer:

D

Step-by-step explanation:

The equation of the circle is (d) (x -3)^2 +(y - 1)^2 = 58

The given parameters are:

Start by calculating the radius using:

r^2 = (x -a)^2 +(y - b)^2

So, we have:

r^2 = (0 -3)^2 +(-6 - 1)^2

Evaluate

r^2 = 58

The circle equation is then calculated using:

(x -a)^2 +(y - b)^2 = r^2

This gives

(x -3)^2 +(y - 1)^2 = 58

Hence, the equation of the circle is (d) (x -3)^2 +(y - 1)^2 = 58

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[tex]\textit{Cofunction Identities} \\\\ sin\left(\theta-\frac{\pi}{2}\right)=-cos(\theta) \qquad\qquad cos\left(\theta-\frac{\pi}{2}\right)=+sin(\theta) \\\\[-0.35em] \rule{34em}{0.25pt}\\\\ tan\left(\frac{x}{2}~~ - ~~\frac{\pi }{2} \right)~~ = ~~\sqrt{2}\qquad \qquad \qquad \stackrel{\textit{let's make for a second}}{\cfrac{x}{2}=\theta } \\\\[-0.35em] ~\dotfill[/tex]

[tex]tan\left(\theta-\frac{\pi}{2}\right)\implies \cfrac{sin\left(\theta-\frac{\pi}{2}\right)}{cos\left(\theta-\frac{\pi}{2}\right)}\implies \cfrac{-cos(\theta )}{+sin(\theta )}\implies -cot(\theta )\implies -cot\left( \frac{x}{2} \right)[/tex]

[tex]-cot\left( \frac{x}{2} \right)~~ = ~~\sqrt{2}\implies cot\left( \frac{x}{2} \right)=-\sqrt{2} \\\\\\ cot^{-1}\left[ cot\left( \frac{x}{2} \right) \right]=cot^{-1}\left(-\sqrt{2} \right)\implies \cfrac{x}{2}=cot^{-1}\left(-\sqrt{2} \right) \\\\[-0.35em] ~\dotfill\\\\ ~\hfill x=2\left[ cot^{-1}\left(-\sqrt{2} \right) \right]~\hfill[/tex]

Answer:

First know the formula for the area of a circle;

Where 'π' represents pi(3.14 or 22/7), and 'r' stands for the radius being squared.

For the first problem, we can see that 12 is our diameter.

And to find the radius, we need to find 1/2 of the diameter (half of the diameter), so;

D/2 = R

Replace with actual values;

12/2 = 6, 6 is our radius.

Now we plug this into our formula:

A = π[tex]r^{2}[/tex]

A = 3.14(6^2)

A = 3.14(36)

A = 113.04 centimetres is the area of the circle.

For the second problem, we can see that 18 is our diameter.

And to convert the diameter into the radius, we do what we did to the past problem, find 1/2 of the diameter.

So;

D/2 = R

18/2 = 9, 9 is our radius.

Now we plug this into our formula:

A = π[tex]r^{2}[/tex]

A = 3.14(9^2)

A = 3.14(81)

A = 254.34 inches is the area for this circle.

For the third problem, we can see that our radius is already given, 5.

So now we just simply and easily plug this into our formula;

A = π[tex]r^{2}[/tex]

A = 3.14(5^2)

A = 3.14(25)

A = 78.5 meters is the area for this circle.

okay okay what is emoji aaaaa

Answer:

33

Step-by-step explanation:

35 take away 1 is 34 take away one more its 33

Answer:

$2

Step-by-step explanation:

20lb divided by $10.

20 divided by 10 is 2

Answer:17

Step-by-step explanation:

Answer:A

Step-by-step explanation:

When you translate you are simply moving the shape up, down, left right. You are not rotating it or chanding it's orientation.

Answer: the answer is B

Step-by-step explanation: B because it would’ve reflected off of the 1st quadrant on a grid so it would be facing the opposite direction.

Answer:

1.97 day; 1 day.

Step-by-step explanation:

0.07*100 = 7

31.91x - 7 = 70

70 - 7 = 63

31.91x = 63

63 / 31.91 = 1.97

Answer:

17

Step-by-step explanation:

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