Phyllis has $1,400 in her savings account. If the bank pays 2.25% interest per year
on savings, how much interest does she earn in one year?

Answer:

[tex]2cos120°-x sin120°. cos180°= x tan150° \\ 2( - \frac{1}{2} ) - x( \frac{ \sqrt{3} }{2} ) \times ( - 1) = x{\frac{ \sin( 150°)}{ \cos(150°)}} \\ ( - \frac{2}{2} ) - \frac{ \sqrt{3} }{2}x \times ( - 1) = x \frac{ \frac{1}{2} }{ - \frac{ \sqrt{3} }{2} } \\ - 1 - ( - \frac{ \sqrt{3} }{2}x) = x( \frac{1}{2} \times ( - \frac{2}{ \sqrt{3} } )) \\ - 1 + \frac{ \sqrt{3} }{2} x = ( - \frac{2}{2 \sqrt{3} } )x \\ - 1 + \frac{ \sqrt{3} }{2} x = ( - \frac{1}{ \sqrt{3} } )x \\ - 1 + \frac{ \sqrt{3} }{2} x =( \frac{ \sqrt{3} }{ \sqrt{3} } )( - \frac{1}{ \sqrt{3} } )x \\ - 1 + \frac{ \sqrt{3} }{2} x = - \frac{ \sqrt{3} }{3} x \\ 6( - 1 + \frac{ \sqrt{3} }{2} x) = 6( - \frac{ \sqrt{3} }{3} x) \\ - 6 + \frac{6 \sqrt{3} }{2} x = - \frac{6 \sqrt{3} }{3} x \\ - 6 = \frac{ - 6 \sqrt{3} }{3}x - \frac{6 \sqrt{3} }{2} x \\ - 6 = (- 2 \sqrt{3})x - (3 \sqrt{3})x \\ - 6 = - 5 \sqrt{3} x \\ x = \frac{ - 6}{ - 5 \sqrt{3} } \\ x = \frac{ 6}{5 \sqrt{3} } \\ x = \frac{6}{5 \sqrt{3} } \times \frac{ \sqrt{3} }{ \sqrt{3} } \\ x = \frac{6 \sqrt{3} }{5 \times 3} \\ x = \frac{2\sqrt{3} }{5} [/tex]

Answer:

(2√3 )/5is he value of x.thank you.

Answer:

The giraffe will be 2 inches

Step-by-step explanation:

If we know that if the scale is 1/2 inch to 5 feet we simply just have to divide the height of the giraffe by 5 feet and then multiply it by 1/2 inches. So we do...

20feet / 5 feet x 1/2 inches = 4 x 1/2inches = 2 inches

Answer:

The correct options are;

A. [tex]-\dfrac{8}{3} \ miles[/tex]

D.  [tex]2\dfrac{2}{3} \ mile[/tex] below sea level

Step-by-step explanation:

The given parameters are;

The distance Sasha travels down before a stop = -2/3 mile

The level at which Sasha starts to hike into the canyon = Sea level

Therefore, we have;

Her elevation at the fourth rest station = 4 × -2/3 mile = -8/3 miles

Therefore, we have;

-8/3 mile = [tex]2\dfrac{2}{3} \ mile[/tex] below sea level

Therefore, the correct options are;

-8/3 mile and  [tex]2\dfrac{2}{3} \ mile[/tex] below sea level.

Answer:8/9

Hope this helps!!!!!!!

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Answer: its 11.2 my good sir

Step-by-step explanation:

Im jsut smort trust me its right

Answer:

6

Step-by-step explanation:

I think this is the answer but I'm not sure

Answer:

Let H be height of a cliff

h depth of the pond

Total distance traveled (S)= H+h

S=20+13

S=33m

Step-by-step explanation:

Answer:

33 meters is the total distance

Step-by-step explanation:

the distance between the two points is 33 it does not matter if the distance is off the cliff or underwater it's still 20+13=33

Answer:

20/5

36/2

16/6

10/5

24

Step-by-step explanation:

didnt have the square root on my key board

Answer:

I believe the answer is $10.1 each

Step-by-step explanation:

Well if u multiply 7.25 by 25 you get 181.25 so you can subtract that by 443.75 you will get 252.5 after that divide it by 25 and u get 10.1.

I hope it help's

Answer:

7/15

Step-by-step explanation:

First, we have to make the bottom part the same:

2/3 - 1/5 = 10/15 - 3/15

10 - 3 = 7 = 7/15

Answer:

let natural no be x

(x-20)=96/x

x²-20x-96=0

x²-24x+4x-96=0

x(x-24)+4(x-24)=0

(x-24)(x+4)=0

either

x=24

x=-4

meh not good at this

Answer:

WHAT IS HE SAYING?!

SOMEONE TELL ME WHAT HE'S SAYING, I DON'T SPEAK TACO BELL.

Explanation:

978/33

[tex] {4x}^{2} + 3x - 10[/tex]

1. Use foil method.

[tex] {4x}^{2} 5x + 8x - 10[/tex]

2. Collect like terms.

[tex] {4x}^{2} + ( - 5x + 8x) - 10[/tex]

3. Simplify.

[tex] {4x}^{2} + 3x - 10[/tex]

Therefor, the answer is.

[tex] {4x}^{2} + 3x - 10[/tex]

Answer:

(x+2)(4x−5)=4x2+3x−10.

Step-by-step explanation:

 multiply (x+2)(4x−5)

using FOIL.

((x)+(2))((4x)+((−1)5))=(x)⋅(4x)+(x)⋅((−1)5)+(2)⋅(4x)+(2)⋅((−1)5)=

=(4x2)+(−5x)+(8x)+(−10)=

=4x2+3x−10

Answer:

Look at picture attached

Step-by-step explanation:

I have created the graph on DESMOS. I recommend you use that website as it helps a lot with visualizing graphs :)

Edit: The second attachment shows the point you can plot.

Answer:

x=6

Step-by-step explanation:

Answer:

6

Step-by-step explanation:

11=x+5 so 5+ what = 11 so, 6

Answer:

x = 20

Step-by-step explanation:

Here, we want to get the value of x

To get the value of x, we need to know the kind of relationship that exists between the two given angles

Both angles lie on a straight line and that means they are supplementary

What this mean is that they add up to 180

(5x-7) + (3x + 27) = 180

5x -7 + 3x + 27 = 180

5x + 3x -7 + 27 = 180

8x + 20 = 180

8x = 180-20

8x = 160

x = 160/8

x = 20

Answer: f(-4) = 17

Step-by-step explanation: Substitute (-4) for x.

9 feet hope this helps!!! :D may i have brainliest?

Complete question :

Anna has a box of chocolates. In the box there are milk, plain and white chocolates in the ratio 4:3:2. The box contains 72 chocolates altogether. Anna doesn't like white chocolates. Work out the probability that she will pick a chocolate that is not white?

Answer:

7 / 9

Step-by-step explanation:

Calculate the number of each type of chocolate :

Milk : plain : white = 4 : 3 : 2

Total ratio = (4 +3 +2) = 9

Milk = (4/9) * 72 = 32

Plain = (3/9) * 72 = 24

White = (2/9) * 72 = 16

Probability of picking a chocolate that is not white :

Number of non-white :

(plain + milk) = (24 + 32) = 56

Probability = (required outcome / Total possible outcomes)

P(not white chocolate) = (number of non-white / total number of chocolates)

= 56 / 72

= 7 / 9

Answer:

A-Tomas is correct; AC is opposite ∠B and BC is adjacent to ∠B

Step-by-step explanation:

The person who is correct is Tomas.

A right triangle is a triangle that has three sides known as the opposite, adjacent and hypotenuse. The hypotenuse is the longest sides of the triangle. The opposite side is the side that faces an angle. The adjacent side is the third side.

Using angle B:

Please find attached the required diagram. To learn more about right triangles, please check: https://brainly.com/question/3197230

Answer:

Step-by-step explanation:

8p < -3

You must isolate P

In order to do this, you need to get rid of anything on that side.

P is being multiplied by 8, so you must do the inverse in order to get rid of it.

The opposite of multiplying is dividing, so divide BOTH sides by 8.

8p / 8 < -3 / 8

You are left with:

p < -3 / 8

That is the answer

Answer:

1.6 cups

Step-by-step explanation:

60 cookies= 4 cups chocolate chips

1 cookie=0.66666666

24 cookies=1.6 cups

i hope i helped<3

Answer: x = -0.2651 and y = -0.9759

Step-by-step explanation:

Solution by substitution method

8x+5y= -7

-7x+6y= -4 = 7x-6y=4

Suppose,

8x+5y=-7→(1)

7x-6y=4→(2)

Taking equation (1), we have

8x+5y= -7

⇒8x= -5y -7

⇒x= -5y-7 / 8 →(3)

Putting x= -5y-7 / 8

in equation (2), we get 7x-6y=4

7(-5y-7/8)-6y=4

⇒-35y-49-48y=32

⇒-83y-49=32

⇒-83y=32+49

⇒-83y=81

⇒y= 81 / -83

⇒y= -0.9759→(4)

Now, Putting y= -0.9759 in equation (3), we get

x= -5y-7

x= -5(-0.9759)-7/8

⇒x= 4.8795-7/8

⇒x= -2.1205/8

⇒x= -0.2651

∴x= -0.2651 and y = -0.9759

Answer: two solutions and

Step-by-step explanation:

Answer:

The answer is C, 3 to 2

Step-by-step explanation:

This is because 12 divided by 4 is 3 and 8 divided by 4 is 2 so yhe ratio is 3 to 2. Hope it helps.