There are d boys in the class. This is two more than four times the number of
girls (X). How many girls are there in the class?

Answer:

A)You will earn $20311.62 as interest  if you deposit $23750 into an investment account for 8 years.

B) The annual interest rate to you charge Vinny in order to make the same amount of interest on his loan as your investment account is 10.69%

Step-by-step explanation:

We are given that Your cousin Vinny wants to borrow $23750. He’s willing to pay you back over 8 years with simple interest.

Your alternative is to invest in the $23750 into an account paying 7.75% compounded monthly.

a)How much interest would you earn in your investment if you deposit $23750 into an investment account for 8 years?

Principal = 23750

Rate of interest = 7.75%

No. of compounds per year = 12

Time = 8 years

Formula : [tex]A=P(1+\frac{r}{n})^{nt}[/tex]

Where A is the amount

P is the principal

r = rate of interest

n = No. of compounds

t = time

Substitute the value sin the formula :

[tex]A=23750(1+\frac{7.75}{1200})^{12 \times 8}[/tex]

A=44061.6163406

Interest = Amount - Principal

Interest = 44061.6163406-23750

Interest =20311.62

You will earn $20311.62 as interest  if you deposit $23750 into an investment account for 8 years.

B)What annual interest rate to you charge Vinny in order to make the same amount of interest on his loan as your investment account

Principal = 23750

Simple interest =[tex]\frac{P \times T \times R}{100}[/tex]

[tex]20311.62=\frac{23750 \times 8 \times R}{100}\\\frac{20311.62 \times 100}{23750 \times 8}=R\\10.69\%=R[/tex]

Hence The annual interest rate to you charge Vinny in order to make the same amount of interest on his loan as your investment account is 10.69%

Answer:

[tex]x_{1} =-\frac{9}{2} \\x_{2} = \frac{9}{2}[/tex]

Step-by-step explanation:

[tex]4x^2 = 76 + 5\\4x^2 = 81\\x^2 = \frac{81}{4}\\ x = |\frac{9}{2}|[/tex]

Answer:

X = 9/2

Step-by-step explanation:

4x² - 5 = 76

4x² = 76 + 5

4x² = 81

4x² = 9²

(2x)² = 9²

2x = 9

X = 9/2

Answer:

6:42 or 1:7 simplified.

Step-by-step explanation:

Answer:

[tex]x = 14\\y = 20 \\[/tex]

Step-by-step explanation:

Finding x:

8x + 3x + 26 = 180 (Angle on a straight line add up to 180°)

11x = 180-26

11x = 154

Dividing both sides by 11

x = 14

Finding y:

3x + 5y + 38 = 180 (Angle on a straight line add up to 180°)

3(14) + 5y + 38 = 180

42 + 38 + 5y = 180

80 + 5y = 180

5y = 180-80

5y = 100

Dividing both sides by 5

y = 20

Answer:

x = 14, y = 20

Step-by-step explanation:

[tex](8x + 26) \degree + 3x \degree = 180 \degree..(straight \: line \: \angle s) \\ (11x + 26) \degree = 180 \degree \\ 11x + 26 = 180 \\ 11x = 180 - 26 \\ 11x = 154 \\ \\ x = \frac{154}{11} \\ \\ \huge \red { \boxed{x = 14}} \\ \\ (5y + 38) \degree = (8x + 26) \degree..(vertical \: \angle s) \\ 5y + 38 = 8 \times 14 + 26 \\ 5y + 38 = 112 + 26 \\ 5y + 38 = 138 \\ 5y = 138 - 38 \\ 5y = 100 \\ \\ y = \frac{100}{5} \\ \\ \huge \purple{ \boxed{ y = 20}}[/tex]

Answer:

The answer should be 23.

Step-by-step explanation:

If C=7, then you just need to plug 7 into the equation.

5(6) - 7

From there, you just need to multiply 5 times 6 which is 30. After that you have 30-7 which gets you 23.

Answer:

3/2 x +3 = y

Step-by-step explanation:

−6x = 12 − 4y

Subtract 12 from both side

−6x-12 = 12 − 4y-12

-6x -12 = -4y

Divide both side by -4

(-6x -12)/-4 = -4y/-4

-6x/-4  -12/-4  = y

3/2 x +3 = y

Answer:

y = 1.5x + 3

Step-by-step explanation:

= - 6x - 12 = - 4y

(- 6x - 12)/- 4 = - 4y/- 4

1.5x + 3 = y

Hope this helps!

Answer:

$.03 per second

Step-by-step explanation:

Take the debt and divide by  the number of years

4 , 253 , 335 /5

850667 per day

The divide by how many days in a year

850667/365

2330.594521 per day

Then divide by 24 hours in a day

2330.594521 /24

97.10810502 per hour

Then divide by 60 minutes in an hour

97.10810502/60

1.618468417 per minute

The divide by 60 seconds  in an hour

1.618468417/60

.026974474 per second

$.03 per second

The value of X is -3.

please see the attached picture for full solution

Hope it helps

Good luck on your assignment

Answer:

[tex]x = - 3[/tex]

Step-by-step explanation:

[tex] - 8(x + 6) - 1 = 5(x - 2) \\ - 8x - 48 - 1 = 5x - 10 \\ - 8x - 5x = 48 + 1 - 10 \\ - 13x = 39 \\ \frac{ - 13x}{ - 13} = \frac{39}{ - 13} \\ x = - 3[/tex]

hope this helps

brainliest appreciated

good luck! have a nice day!

Answer:

51 = A

Step-by-step explanation:

Using the law of sines

sin 95        sin A

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

9                  7

Using cross products

7 sin 95 = 9 sin A

Divide each side by 9

7/9 sin 95 = sin A

Take the inverse sin of each side

sin ^-1 ( 7/9 sin 95) = A

50.78854367= A

To the nearest degree

51 = A

Answer:

98 centimeters

Step-by-step explanation:

perimeter of rectangle=2(l+b)

width=breadth=77centimetrs

perimeter=340 centimeters

340=2(l+77)

340=2l+144

340-144=2l

196=2l

l=98 centimetrs

Answer:

Step-by-step explanation:

x = 0.12613537

Answer:

Look at the attachment

Answer: $0.07 per unit

Step-by-step explanation:

4.25/64

Answer:

0.07

Step-by-step explanation:

divide

Answer:

7 > x > 6

Step-by-step explanation:

- 8 x > 67 > x > 6 will become  -8 x > 6 when you cancel out the 67 and the x .

Then you will calculate - 8 x > 6 which will equal to 7 > x > 6 .

So your answer would be your last option

I hope this helps :)

Step-by-step explanation:

Actually, it isn't that hard. Remember the difference of squares? (a + b)(a - b) = a² - b² and in this case 9 is a and 4x is b so our answer is 81 - 16x².

Answer:

9 - 16x²

Step-by-step explanation:

(3+4x)(3-4x)= 3²- (4x)²= 9 - 16x²

Answer:

There are 320 mL in 2 cans

Step-by-step explanation:

Since one can holds 160 mL of orange juice, all we need to do is add them together since it is to cans to get 320 mL.

Answer:

There are 320 mL in 2 cans

Step-by-step explanation:

Since one can holds 160 mL of orange juice, all we need to do is add them together since it is to cans to get 320 mL.

i originally said 320ml but my answer was deleted.

Answer:

4/5 is the largest

convert them into decimals (idk what they are called) but basically, 4/5 is 0.8, 1/2 and 3/6 are 0.5 and 5/8 is 0.625

when you look at the numbers this way, 4/5 is the largest

Answer:4/5

Step-by-step explanation:1/2=50% 4/5=80% 5/8=63.5% 3/6=50%. The largest is 80% which is 4/5

Answer:

180

Step-by-step explanation:

for 40 to be equal to 80 in percentages, the number has to be duplicated

Answer:

180

Step-by-step explanation:

90×80/100=72

40/100×x=72

transpose 100

40x=72×100

x=7200/40=180

Answer: Option D.

Step-by-step explanation:

Out of the 15 simulations, the number with a 1 in them is 7. (are the sets of 5 shots that have at least one 3-pointer)

So out of 15 sets, 7 of them have at least one 3-point in them.

the experimental probability is p = 7/15.

So the correct option is D.

Answer:

Step-by-step explanation:

We can combine the -7x and the -2x and the left side to get -9x and the 23 and 13 on the right side to get 36.

This gives us

-9x + 12 = 36

Subtacting 12 from both sides gives us

-9x = 24

dividing by -9 gives us

x = - 8/3

Answer:

see below

Step-by-step explanation:

-7x + 12 – 2x = 23 + 13.0

Combine like terms

(-7x-2x) +12 = (23+13)

-9x +12 = 36

Subtract 12 from each side

-9x +12 -12 = 36 -12

-9x = 24

Divide each side by -9

-9x/-9 = 24/-9

x = -8/3

Answer:

1.) Chances of picking a black marble: 28/81 or 34.6%

2). 0/81 chances of picking a purple marble or 0%

3.) Chances of picking a red or white marble: 35/81 or 43.2%

4.) Chances of picking a marble whose color has 5 letter in it: 40/81 or 49.4%

Answer:

$2.81

Step-by-step explanation:

1.25 is 100% of the price

125% + 100% = 225%

x = price by august

x = 225% (1.25)

225% = 2.25

2.25(1.25) = 2.8125 ≈ $2.81

Another way to see it:

[tex]\frac{1.25}{x}[/tex] = [tex]\frac{100}{225}[/tex]

225(1.25) / 100 = 2.8125

Answer:

11.25

Step-by-step explanation:

Answer:

1. -3x² × 3x × 2x³ × x⁵

= (-3×3×2) x^2+1+3+5

= -18x¹¹

2. [3×(-1)×(-1)] n^2+2+3

= 3n⁷

3.[-0.5×2×(-1)] x^3+5+1

= x⁹

4.[-2×(-1)×(-1)] s^2+3+4

= -2s⁹

5.[-6×1×(-1)] v^8+5+1

= 6v¹⁴

6.[1/2×(-1)×6] p^2+3+1

= -3p⁶

7.[-2/3×(-1/2)×(-4)×(-6)] b^2+3+4+1

= 8b¹⁰

Answer:

CBA = DEA

Step-by-step explanation:

Theyre the only right angles listed.

Answer:

First option is the correct answer

[tex] {x}^{ \frac{3}{7} } [/tex]

Step-by-step explanation:

[tex] \sqrt[7]{x} \times \sqrt[7]{x} \times \sqrt[7]{x} \\ \\ = \sqrt[7]{x\times x\times x } \\ \\ = \sqrt[7]{ {x}^{3} } \\ \\ = {x}^{ \frac{3}{7} } [/tex]

Answer:

D) 4

Step-by-step explanation:

To start with we can see that on all the line there are little arrows on the end which means that the line continues forever.

C and B are acute angle because we can eyeball that they are less then 90 degrees.

A is most likely to be a right angle because their are two perpendicular straight lines.

D is the correct answer because as I said the lines continue forever. So in that case both lines are not perpendicular or less than 90º.

Answer:

D

Step-by-step explanation: