PRE-CALC no links.
How much should be deposited in an account paying 3% interest, compounded monthly, in order to have a balance of $9,000 after 17 years and 3 months?

Answer:

Step-by-step explanation:

3x^2 + 24x + 48 + 43 - 48

3(x^2 + 8x + 16) - 5

3(x + 4)^2 - 5

vertex at (-4,-5)

Answer:

vertex = (- 4, - 5 )

Step-by-step explanation:

The equation of a quadratic in vertex form is

y = a(x - h)² + k

where (h, k) are the coordinates of the vertex and a is a multiplier

Given

y = 3x² + 24x + 43 ← factor out 3 from the first 2 terms

  = 3(x² + 8x) + 43

To complete the square

add/subtract ( half the coefficient of the x- term)² to x² + 8x

y = 3(x² + 2(4)x + 16 - 16) + 43

y = 3(x + 4)² - 48 + 43

y = 3(x + 4)² - 5 ← in vertex form

with vertex = (- 4, - 5 )

Answer:

Ethan will use 49

fl oz of orange juice, and he will have a total of 77

fl oz of punch.

Step-by-step explanation:

He uses a ratio of 7 to 4 of orange juice to sparkling water.

7/4 = ?/28

4 * ? = 7 * 28

Divide both sides by 4.

? = 7 * 7

? = 49

He will use 49 fl oz of orange juice.

The total amount made is: 49 fl oz + 28 fl oz = 77 fl oz

Answer:

Ethan will use 49

fl oz of orange juice, and he will have a total of 77

fl oz of punch.

Answer:

the complementary angle is 14°

the supplementary angle is 104°

Step-by-step explanation:

76+14=90

76+104=180

Answer:

69 minutes? i don't know haha

Step-by-step explanation:

Answer: Greater than or equal to 2.

Step-by-step explanation:

Given

Function is  [tex]f(x)=2x^2+5\sqrt{x-2}[/tex]

The entity inside a square root is always positive i.e. greater than equal to zero

[tex]\therefore \ x-2\geq 0\\\Rightarrow x\geq2[/tex]

So, the domain of the function is all real numbers greater than or equal to 2.

Answer:

It takes more 1/9th because they ar smaller than 1/6th. You would need three 1/9ths and two 1/6th in order for it to equal 1/3

Answer:

=8x+4

Step-by-step explanation:

=2(4x+2)

a=2,b=4x,c=2

=2 x 4x + 2 x 2

Simplify- 2 x 4x + 2 x 2: 8x + 4

Answer:

5.318 * 10 to power of 8

Step-by-step explanation:

Answer:

5.318 × [tex]10^{8}[/tex]

Step-by-step explanation:

Answer:

175 degrees Fahrenheit

Step-by-step explanation:

We are to find the difference between the two temperatures

125 - (-50)

two minuses gives a plus

125 = 50 = 175

Answer: C) y = 0.25m + 30

Step-by-step explanation:

Since the rental fee (y) of the car is $30 plus $0.25 per mile (m), then the cost will be:

= $30 + $0.25(m)

= 30 + 0.25m

For example, to calculate the cost of someone who rented the car and used 20 miles will be:

= 30 + 0.25m

= 30 + 0.25(20)

= 35

Answer:

15 yards

Step-by-step explanation:

hope this helps ❤️

Answer:

Step-by-step explanation:

       Location    Reflect over x              Reflect over y

B      -0.75 ,1         -0.75 ,-1                           +0.75 ,1

C     1.75 ,-1          1.75,1                                 -1.75,+1

D      -2,-2           -2,+2                                  +2 ,-2

Answer:

1.78 > 0.88

Because you would always put the sign on the bigger number.

Answer:

1.78 > 0.88

Step-by-step explanation:

It is > hope this helped.

Choose C.

x^2 = a/b must be true.

Answer:

I think it is 25÷8

Step-by-step explanation:

this is because the circumference is found by π multiplied by the diameter. So the inverse would be the circumference divided by the diameter.

Answer:

64? I'm not sure but because if 1= girls (8 girls) and boys is 8 times more you do 8x8 I think sorry if I'm wrong

Answer:

There are 64 boys

Step-by-step explanation:

If there are 8 girls it would be 8*1

so you would have to multiply 8 by the ratio of boys which is 8*8

which equals 64 boys to 8 girls (8:1)

Your welcome

Answer:

I can't able to understand this question plz check this question if it is right or not

Answer:

am not sure but

Step-by-step explanation:

since they are similar they must have similar ratio

so 12/4 =3/1

so 3:1

4*3=12

for other sides I think

9*3 =27

and

6*3=18

y=27

x=18

Step-by-step explanation:

given,

[tex]2k \div 3 = 6 \\ 2k \div3 \times 3 = 6 \times 3 \\ 2k = 18 \\ k = 18 \div 2 \\ = 9[/tex]

Answer:

hh

Step-by-step explanation:

Answer:

The answer is postulate

Answer: the formula is : β = 180° - α

A = 6 * a² * sin(α)

V = a³ * (1-cos(α)) * √1+2cos(α)

Sorry, i don't know any examples .

Step-by-step explanation:

Answer:

221 m

Step-by-step explanation:

Let h = height of dam

tan 33 = h/340

340 tan 33 = h

h = 221 m

The height of the dam to the nearest meter will be 221 m.

The vertical distance between the object's top and bottom is defined as height. It is measured in centimeters, inches, meters, and other units.

From the trigonometry;

[tex]\rm tan \theta = \frac{P}{B} \\\\ \rm tan 33^0 = \frac{h}{340} \\\\ h=221 \ m[/tex]

To learn more about the height, refer to the link;

https://brainly.com/question/10726356

#SPJ2

Answer:

c. 322

Step-by-step explanation:

Surface area of cylinder = 2πr² + 2πrh.

SA in terms of π = π(2r² + 2rh) →

π(2(7)² + 2(7)(16)) →

π(2(49) + 2(112)) → π(98 + 224) → π(322)

Answer:

domain(x)={30,40,50,60} and range(y)={60,5040,30}

Answer:

weight of a water=0.5

spherical ball is filled With water=0.95.

so dear for

22\7*0.5*0.95=1.49

Answer:

x = 6

Step-by-step explanation:

We solve that above question using the trigonometric function of Tangent

Tan theta = Opposite/Adjacent

Theta = 45°

Opposite = 6

Adjacent = x

tan 45° = 6/x

tan 45 in rational form = 1

1 = 6/x

Cross Multiply

x = 6