1. Billy's mother started a college fund on Billy's 8th birthday. She
deposited $8,200 into a savings account that yields an interest rate of
0.21% compounded annually. How much money will the savings account
be worth when Billy turns 18 years old?

Answer:

x = 3 and -1

Step-by-step explanation:

5(x²-2x-3)

(x-3)(x+1)

Answer:

Zero's are: x= 3, -1

Step-by-step explanation:

With factoring, and determining the middle ground, finding the zeroes will come back to this result.

Answer:

Thanks!

Step-by-step explanation:

I already have it on my phone tho lol

Answer:

13.m<9=110  14.m<4=115    15.m<10=70   16.m<11=70   17.m<8=65    18.m<5=65  19.m<3=65      20.m<14=110

Step-by-step explanation:

Answer:

Step-by-step explanation:

f(x)/g(x) = (x+6)/[(x+6)(x-6)]

Cancel (x+6)

Answer is 1/(x-6)

Answer:

1) 3x = 2x + 50

3x - 2x = 50

X= 50

2)6x = 2x + 44

6x - 2x = 44

4x = 44

divide both sides by 4

X = 11

3)8x = 2x + 36

8x - 2x = 36

4x = 36

divide both sides by 4

X = 9

4) 4x = X + 18

4x - X = 18

3x = 18

divide both sides by 3

X= 6

5) 7x + 10 = 3x + 120

collect like terms

7x - 3x = 120 - 10

4x = 110

divide both sides by 4

X = 27.5

6) 20 + 2x = X + 56

collect like terms

2x - X = 56 - 20

X = 36

7) already done

8)12x + 12 = 3x + 84

collect like terms

12x - 3x = 84 - 12

9x = 72

divide both sides by 9

X = 8

9) 3 + 6x = 2x + 27

collect like terms

6x - 2x = 27 - 3

4x = 24

divide both sides by the coefficient of X (4)

X = 6

10) 8x + 2 = 72 + X

collect like terms

8x - X = 72 - 2

7x = 70

divide both sides by the coefficient of X (7)

X = 10

11) 2x + 20 = X + 60

collect like terms

2x - X = 60 - 20

X = 40

12). 4x + 1 = 25 + 2x

collect like terms

4x - 2x = 25 - 1

2x = 24

divide both sides by the coefficient of X (2)

X = 12

I hope this helps

i like chicken nuggets

Answer:

what the heck is this

Step-by-step explanation:

Answer: He used 765 grams of blueberries.

Step-by-step explanation:

The quantity of blueberries is directly proportional to the quantity of smoothie.

Equation of direct variation : [tex]\dfrac{x_1}{y_1}=\dfrac{x_2}{y_2}[/tex]

Substitute [tex]x_1=340\text{ grams},\ \ \ y_1=24\text{ fluid ounces}[/tex]

[tex]y_2=54\text{ fluid ounces}[/tex]

To find : [tex]x_2[/tex]

[tex]\dfrac{340}{24}=\dfrac{x_2}{54}[/tex]

[tex]\Rightarrow\ x_2=\dfrac{340}{24}\times54\\\\\Rightarrow\ x_2=765[/tex]

Hence, he used 765 grams of blueberries.

Answer:

1&1/8 m/h

Step-by-step explanation:

2/8 of a mile = 1/8 of an hour

add 7/1 to both sides thats 1 and 1/8 of a mile in 1 hour

Answer:

D

Step-by-step explanation:

the part two shows that 20 tickets were purchased adult and child

adults were 15 dollars and added with the childs10 dollar tickets added togethor to get 225 dollars.

Answer:

2 and 6

Step-by-step explanation:

2+6=8. 6-2=4.

Answer:

2 and 6

Step-by-step explanation:

Answer:

25500

Step-by-step explanation:

15% of 30000 is (multiply 30000 by .15 to get this) 4500

Subtract 4500 from 30000 and you got the answer

Answer:

y = 6x + 3

Step-by-step explanation:

Since you can't have a negative y in a y = mx + b equation you have to make it postive. You also have to do everything you do on one side to the other. To do this you have to multiply everything by -1. This will make everything positive b/c it cancels out the other negative. (Two negatives equals a positive) You should be left with y = 6x + 3. The -1 cancelled the -y, -6x, and -3 so you add 3 instead of subtract it.

y = 6x + 3

Answer:

Step-by-step explanation:

- 9j + -11 = 61

        -9j = 61 + 11

        -9j = 72

            j = - 8

Answer:

5 ( y + 2) = 6 ( y - 1)

- distribute the number outside into the parenthesis by multiplying it with each value

5y + 10 = 6y - 6

- subtract like terms, in this case 5y and 6y

-y + 10 = -6

- isolate the variable ( y)  by getting rid of 10 by subtracting it to both sides

-y = -16

-1y = -16

- isolate variable (y) by getting rid of the -1 next to it by dividing it to both sides

y = -16 / -1

y = 16

The first term of the geometric sequence is 2 and the common ratio is 5. So, the 12th term of the geometric sequence is 97656250.

Important information:

We need to find the 12 th term.

In the given geometric sequence, the first term is [tex]a=2[/tex] and the common ratio is [tex]d=\dfrac{10}{2}=5[/tex].

The nth term is:

[tex]a_n=ar^{n-1}[/tex]

Where [tex]a[/tex] is first term, [tex]r[/tex] is common ratio.

The 12th term is:

[tex]a_{12}=2(5)^{12-1}[/tex]

[tex]a_{12}=2(5)^{11}[/tex]

[tex]a_{12}=97656250[/tex]

Therefore, the 12th term of the geometric sequence is 97656250.

Find out more about 'Geometric sequence' here:

https://brainly.com/question/17321783

Answer: 97656250.

Step-by-step explanation:

dm

Answer:

-16

Step-by-step explanation:

v=-2

I found this because since it is given that -2v+4=8; If v=-2 then the equation is true, because -2(-2) + 4 = 8. So since v=-2, plug in -2 into v of 3v-10; which would be (3(-2))-10, which is equal to -16.

Answer:

I think its 183 1/3

It's what I figured out & the other answer says the same.

Step-by-step explanation:

You like TommyInnit, too? Poggers! <3

Answer:

183 1/3

Step-by-step explanation:

I'm assuming that x and y are directly proportional.

So anyways:

5.5 divided by 3/4 is 7 1/3.

Because this is directly proportianol, you'll also have to mutiply y by 7 1/3.

So: 25 times 7 1/3 equal to 183 1/3

Hope this helps!

Answer:

8(a+4)=8a+32

Step-by-step explanation:

Use the distributive property.

Answer:

18.92

Step-by-step explanation:

Im preatty sure this is right

Answer:

18.92

I multiplied 0.22 and 86

Answer:

12

i think this correct answer

Answer:

$7.56

Step-by-step explanation:

$7(.08) = .56 in tax

$7 item cost + .56 in tax

Answer:

Given:

A plane ticket to Barcelona costs £175 the price decreases by 6%

To find:

The new price of the plane ticket

Solution:

The ticket to Barcelona costs £ 175

The price decreases by 6%

⇒ 6% = 6/100 = 3/50

The new price of the plane ticket is decreased by the amount,

= £ 175 × 3/50

= £ 10.5

Therefore, the new price of the plane ticket is given by,

= £ 175 - £ 10.5

= £ 164.5

ik this question i got at school

Answer: £175

Step-by-step explanation:

You said it costs £175

Answer:  (x, y) goes to (1/2x, 1/2y)

Step-by-step explanation:

Answer:

Alto was 4.75 meters under the water, or -4.75.

Step-by-step explanation:

Alto dove 9 meters and then 15 meters. We can add those two which is 24 meters. Then she rose 19 and 1/4, so we have to subtract that from 24.

I hope this helped, and if it did I would appreciate it if you marked me brainliest.

thank you and have a nice day!

Answer:

C

Step-by-step explanation:

Answer:

C) A car can travel 80 miles on 2 gallons of gasoline.

Step-by-step explanation:

They gave us the unit rate which is 40 mile/1 gallon of gasoline. With the unit rate, we can then simplify each answer choice.

Simplified version of answer a: 1 mile/40 gallon of gasoline (we know it is wrong because it doesn't match with the unit rate.)

Simplified version of answer b: 41 mile/ 1 gallon of gasoline (we know it is wrong because it doesn't match with the unit rate.)

Simplified version of answer c: 40 miles/1 gallon of gasoline (this one is the correct answer since it matched the unit rate.

Simplified version of answer d: 40 miles/ 20 gallon of gasoline  (we know it is wrong because it doesn't match with the unit rate.)

Hope this helped you : )

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Answer:

  [tex]A(\alpha)=\left\{\begin{array}{ccc}\dfrac{a^2\sqrt{3}\sin{(\alpha)}}{16\sin{(\alpha+\dfrac{\pi}{3})}}&\text{if $\alpha\le\dfrac{\pi}{2}$}\\\\\dfrac{a^2\sqrt{3}}{4}\left(1-\dfrac{\sin{(\alpha)}}{4\sin{(\alpha-\dfrac{\pi}{3})}}\right)&\text{if $\alpha>\dfrac{\pi}{2}$}\end{array}\right.[/tex]

Step-by-step explanation:

If we place the bottom center at the origin and make the sides of the triangle 2 units, then the right side can be described by the equation ...

  y = √3(1 -x)

and the terminal side of the angle α can be described by ...

  y = tan(α)·x

We want the height of the shaded area, which is the y-coordinate of the point of intersection of these two lines.

  y = √3(1 -y/tan(α)) . . . . substituting for x

  y = √3·tan(α)/(√3 +tan(α)) . . . . solved for y

Since we have defined the base of the shaded area to be 1, the shaded area is half this value, or ...

  A(α) = (√3/2)tan(α)/(√3 +tan(α))

Further manipulation can put this in the form ...

  A(α) = (√3/4)sin(α)/sin(α+π/3) . . . . for α ≤ π/2, side length 2

__

For α > π/2, we need to subtract the area A(π-α) from the area of the whole triangle. This gives an area (after some rearranging) of ...

  A(α) = √3(1 -sin(α)/(4·sin(α-π/3))) . . . . for α > π/2, side length 2

__

The problem statement defines the triangle as having a side length of 'a', so the final area formula will be a factor of (a/2)² times the above expressions. That is ...

  [tex]A(\alpha)=\left\{\begin{array}{ccc}\dfrac{a^2\sqrt{3}\sin{(\alpha)}}{16\sin{(\alpha+\dfrac{\pi}{3})}}&\text{if $\alpha\le\dfrac{\pi}{2}$}\\\\\dfrac{a^2\sqrt{3}}{4}\left(1-\dfrac{\sin{(\alpha)}}{4\sin{(\alpha-\dfrac{\pi}{3})}}\right)&\text{if $\alpha>\dfrac{\pi}{2}$}\end{array}\right.[/tex]

_____

The graph (second attachment) shows the area as a function of α (in degrees) for a unit triangle. There are inflection points in the curve at 30°, 90°, and 150°