In circle D, ∠EDH ≅ ∠EDG.

Circle D is shown. Line segment F H is a diameter. Line segments D E and D G are radii. Lines are drawn from point E to point G and from point E to point H to form secants. The length of E J is 4 and the length of E H is 9. The measure of arc F E is 57 degrees and the measure of arc F G is 66 degrees.

What is the length of JG?

4 units
5 units
6 units
9 units

Solution :

Given :

Principal amount deposited, P = $ 6000

Rate of interest, r = 5%

Number of years, t = 4 years

When the deposited amount is compounded semiannually, i.e. n = 2

Therefore,

Future value,

[tex]$FV = P\left( 1 +\frac{r}{n}\right)^{nt}$[/tex]

[tex]$FV = 6000\left( 1 +\frac{0.05}{2}\right)^{2 \times 4}$[/tex]

[tex]$FV = 6000 \times (1.025)^8$[/tex]

       = 6000 x 1.2184

        = 7310.4

Therefore, after 4 years there will be $ 7310.4 in the amount when compounded semi annually.

When the deposited amount is compounded quarterly, i.e. n = 4

Therefore,

Future value,

[tex]$FV = P\left( 1 +\frac{r}{n}\right)^{nt}$[/tex]

[tex]$FV = 6000\left( 1 +\frac{0.05}{4}\right)^{4 \times 4}$[/tex]

[tex]$FV = 6000 \times (1.0125)^{16}$[/tex]

       = 6000 x 1.219889

        = 7319.334

Therefore, after 4 years there will be $ 7319.334 in the amount when compounded quarterly.

When the deposited amount is compounded monthly, i.e. n = 12

Therefore,

Future value,

[tex]$FV = P\left( 1 +\frac{r}{n}\right)^{nt}$[/tex]

[tex]$FV = 6000\left( 1 +\frac{0.05}{12}\right)^{12 \times 4}$[/tex]

[tex]$FV = 6000 \times (1.0041667)^{48}$[/tex]

       = 6000 x 1.22089

        = 7325.34

Therefore, after 4 years there will be $ 7325.34 in the amount when compounded monthly.

Answer: $7.06

Step-by-step explanation:

$0.98 + $1.19 + $4.89 = $7.06

number 2 is your answer

Answer:

number 2 is your answer

Step-by-step explanation:

Answer:

2) a trapezoid

Trapezoids have only one pair of parallel sides; parallelograms have two pairs of parallel sides. A trapezoid can never be a parallelogram.

Answer:

55,32,-3,-8,-19,-32

Step-by-step explanation:

Answer:

233.333%

Step-by-step explanation:

yeah that's it

Answer:

233.333 %

Step-by-step explanation:

Porción indefinida de plano limitada por dos líneas que parten de un mismo punto o por dos planos que parten de una misma línea y cuya abertura puede medirse en grados.

ángulos adyacentes Ángulos que tienen el vértice común, un lado común que los separa y los otros dos lados en línea recta.

Answer:

They are adjacent. x=10/3

Step-by-step explanation:

Answer:

80 buckets of red paint

Step-by-step explanation:

Given

The ratio of buckets of yellow paint to buckets of red paint in the store to be 3:4

Total ratio = 3 + 4 = 7

Amount of yellow paint = 60

Required

Amount of red paint.

First get the total amount of paint used.

3/7 * x = 60

x is the total paint used

3x/7 = 60

3x = 7*60

x = 420/3

x = 140 buckets of paint

Amount of red paint = Total - Amount of yellow paint

Amount of red paint = 140 - 60

Amount of red paint = 80

Hence there are 80 buckets of red paint in the store

Given:

Loss = $2.55

Value of stock after loss = $57.45

To find:

The percentage by which the stock decline.

Solution:

We have,

Loss = $2.55

Value of stock after loss = $57.45

Value of stocks before loss = Value of stock after loss + loss

                                              = $57.45 + $2.55

                                              = $60

Now,

[tex]\text{Percentage by which the stock decline}=\dfrac{\text{loss}}{\text{initial value}}\times 100[/tex]

[tex]\text{Percentage by which the stock decline}=\dfrac{2.55}{60}\times 100[/tex]

[tex]\text{Percentage by which the stock decline}=4.25%[/tex]

Therefore, the stocks of the company declined by 4.25%.

Answer:19.8

Step-by-step explanation: if you look at the lines it describes the length of the area it’s on. Since there is 4 lines on right side it would be 9.9+9.9 which would give you and answer of 19.8 so CH=19.8

Answer:

CH=12

Step-by-step explanation:

CH=12

9.9+9.9=19.8

19.8x19.8=392.04

8x8=64

392.04-64=328.04

v328.4=18

18-6=12

Answer:

X: time mowing lawn (325 Cal/hour)

Y:time raking leaves (275 Cal/hour)

325X + 275Y = 885

3 - X = Y

(1.2 hours mowing the lawn, 1.8 hours raking leaves)

Step-by-step explanation:

you forgot to include vital information. When ahmit rakes leaves, he loses 275 calories per hour. When he mows the lawn, he loses 325 calories per hour according to the textbook you got this from. If he works for 3 hours, you need to find the portion of each activity he did by working backwards from the total calories lost, 885.

Answer:

Step-by-step explanation:

1. 2x + 6 = 3x-6

2. 2x = 3x-12

3. -1x=-12

4. x=12

2(12) + 6 = 30

3(12) - 6 = 30

Answer:

30

Step-by-step explanation:

because S angle = T angle, this is isosceles triangle

=> SV=TV <=> 2x+6=3x+6

<=> x=12

=> SV=ST=30

Answer:

-3 and  infant soultion

Step-by-step explanation:

please since i gave u answer can u answe my recent question

Answer:

[tex]\huge\mathtt{{\colorbox{silver}{ANSWER~~~↴}}}[/tex]

ꜰɪʀꜱᴛ ᴡᴇ ᴡʀɪᴛᴇ ᴛʜᴇ ɢɪᴠᴇɴ↴

⇒WIDTH = Y cm

⇒LENGTH =( y+2 )cm

⇒PERIMETER = 32cm

▃▃▃▃▃▃▃▃▃▃▃▃▃▃▃▃▃▃▃▃▃

solution ↴

perimeter of rectangle = 2 ( length + width)

[tex]32cm = 2( (y +2) +y )cm \\ \frac{32}{2} cm = 2y + 2cm \\ 16cm = 2y - 2cm \\ 16 cm- 2 cm=2y\\ 14cm = 2y \\ y = \frac{14cm}{2} \\ y = 7cm

[/tex]

☛ so the width of the rectangle is 7cm

so we all done :D

▃▃▃▃▃▃▃▃▃▃▃▃▃▃▃▃▃▃▃▃▃

Answer:

See work below.

Step-by-step explanation:

There are 20 total blocks. 6 of them are painted. We can divide 6 by 20 and multiply that number by 100 to find the percentage of painted blocks.

6/20 = 0.3

Now, we need to multiply by 100 to convert to a percentage.

0.3 x 100 = 30%

Answer:

30% work below

Step-by-step explanation:

There are 20 squares in total if 6 are painted you get the fraction.

[tex]\frac{6}{20} /\frac{2}{2} = \frac{3}{10}[/tex]

3/10 as a decimal is .3

.3 as a percent is 30% because you move the decimal to the right 2 times.

Hope this helps ya!

Answer:

unit rate: (1,1)

Step-by-step explanation:

Answer: 54%

Step-by-step explanation:

Answer:

C. Because they have the same slopes and different y-intercepts

Step-by-step explanation:

Answer:

Your answer would be the 3rd one.

Because they have the same slopes and different y-intercepts.

I hope that this is the answer you were looking for!

Have a great day!

Answer:

(3,0)

Step-by-step explanation:

Hope this helps

Answer:

it will be the first the 5th the 2nd and the 3rd

Answer:

The answer is in the pic below

Step-by-step explanation:

Answer:

x = 4.3 (repeating 3) in Decimal Form

x = 13/3 in Exact Form

x = 4 1/3 in Mixed Number Form

Step-by-step explanation:

180=16x - 5 + 5x +4 + 90

180 = 21x -5 + 4 + 90 (combine like terms)

180 = 21x + 89

180 = 21x + 89 (subtract 89 on both sides)

-89           - 89

91 = 21x (divide 21 by both sides)

91/21 = 21x/21

4.3 (repeating 3) = x

Answer:

C. 2x² + 6x - 1 = 0

Step-by-step explanation:

2x² - 3 = -6x - 2

2x² - 3 + 6x = -6x + 6x - 2

2x² - 3 + 6x = -2

2x² - 3 + 6x + 2 = -2 + 2

2x² + 6x - 1 = 0

Hope that helps.

dysodjd kfudoandudslfhsotn

Answer:

linear

Step-by-step explanation:

If it is linear, for each unit increase in x, there should be a constant change in y.

x=1, y=5

in x=2, we expect y to increase by 5 units, so 5+5 = 10, which is right.

x=3, expect 5 units increase, and we do see that as 10+5 = 15.

x=4, expect 5 unit increase, and 15+5 =20 so we see that

this is linear function, if nonlinear then we would see different changes of y for each unit increase of x.

please give thanks by clicking the heart button :)

Answer:

x=-2[tex]\sqrt{x} 22 -9[/tex]

Step-by-step explanation:

Answer:

Yes.

Step-by-step explanation:

To find the point of intersection we solve the system:

y = x + 3

y = -x + 7       Subtract:

0 = 2x - 4

2x = 4

x = 2.

She is correct.

Answer:

yes

Step-by-step explanation:

Given the 2 equations

y = x + 3 → (1)

y = - x + 7 → (2)

Substitute y = x + 3 into (2)

x + 3 = - x + 7 ( add x to both sides )

2x + 3 = 7 ( subtract 3 from both sides )

2x = 4 ( divide both sides by 2 )

x = 2

Thus the functions intersect at x = 2

Answer:

quadratic function can find and write with the vertex and function the graph better.

Step-by-step explanation: