Juanita opens a savings account with $200. Each month, she deposits $25 into her account and does not withdraw any money from it. Write an equation in slope-intercept form of the total amount y in Juanita’s account after x months

Answer:

so when factorising, you first remove the common factors. in this case it is (x+3)

so what is remaining is the x and 4

you group that together.

my teacher explained that when factorising, after removing the common factor then you divide each term by the common factor, and then group the answers to that in brackets.

so it will be,

[tex]x(x + 3) + 4(x + 3) \\ (x + 3)( \frac{x(x + 3)}{x + 3} + \frac{4(x + 3)}{(x + 3)} [/tex]

so basically whats left after dividing, is x and 4 because the x+3 cancel off.

and thats how you get the answer of

(x+3)(x+4)

hope this helps;)

Answer:

according to right , we use Phythgorous

tanb= 9/12

cosb=12/15

and sinb=9/15

Answer:

option A

Step-by-step explanation:

the bigger triangle is two times the size of the small one

Answer:

80%

Step-by-step explanation:

64/80=8/10

Answer:

80%

Step-by-step explanation:

First divide 64 by 80 then multiply answer by 100 which gives you 80

Answer:

B

Step-by-step explanation:

work below

Answer:

$200

Step-by-step explanation:

Given :

Cost of blender + import duty = $240

Import duty = 20% of cost price

Let :

Cost of blender = x

Import duty = 20% of x = 0.2x

Therefore,

x + 0.2x = $240

1.2x = 240

x = 240 / 1.2

x = $200

Cost of blender = $200

Answer:

Kevin's weekly sales will have to be worth more than $4000 in order for Dollar Deal to pay more.

Step-by-step explanation:

Dollar Deal offers $8/h plus 10% commission.

If he spends x hours, then offer after x hours and s amount from sales is;

8x + 10%s

This can be rewritten as; 8x + 0.1s

Now, Great Discounts offers $18/h with no commission.

Thus after 8 hours for 5 days, total number of hours = 40 hours.

Thus, great discounts offer = 18 × 40 = $720

Now, dollar deal will offer; 8(40) + 0.1s = 320 + 0.1s

Thus, for dollar deal to pay more weekly, then;

320 + 0.1s > 720

0.1s > 720 - 320

0.1s > 400

s > 400/0.1

s > 4000

Answer:

65 degree, 15 degree

Step-by-step explanation:

In triangle GEF,

∠E = ∠G (Given)

Let's say,

∠E = ∠G = x

∠E + ∠G + ∠F = 180 (Angle sum property of Triangle)

=>x + x + ∠F = 180

=>2x + ∠F = 180

=>2x + 50 = 180

=>2x = 180-50

=> 2x =130

=> x = 130/2

=> x = 65

=>∠E = ∠G = 65

=>∠GEF = ∠EGF = 65 Degree

∠EGF + ∠CGF = 180

=>65 + ∠CGF =180

=>∠CGF = 180 - 65

=> ∠CGF = 15

The "is" means "equals"

So we write [tex]72 = 8 \times 9[/tex] which is the same as [tex]72 = 9 \times 8[/tex] since order of multiplication doesn't matter. We could also flip both sides of the equation to get something like [tex]8 \times 9 = 72[/tex], and still mean the same thing.

Answer:

x = 152°

Step-by-step explanation:

∠ BDE = ∠ ABD = 76° ( alternate angles )

Since DE = BE then Δ BDE is isosceles with base angles congruent

∠ DBE = ∠ BDE = 76°

The exterior angle of a triangle is equal to the sum of the 2 opposite interior angles.

x is an exterior angle of the triangle, then

x = 76° + 76° = 152°

Answer:

Your just now have finals ?

Step-by-step explanation:

Ay, good luck tho homie !

Answer:

(0,8)

Step-by-step explanation:

Let X be 0 and solve for Y to get the intercept

y= - 4([tex]10^{x}[/tex]) + 12

y= - 4 * [tex]10x^{0}[/tex] + 12

y= - 4 * 1 + 12

y= - 4 + 12

y=8

when x=0, y=8

(0,8) is y intercept

The y-intercept of the given function is (0,8).

We have given that,

The graph of the function f(x) = 10^x

The y-intercept of function gif g(x)=4f(x) + 12

The x-intercept is the point where a line crosses the x-axis, and the y-intercept is the point where a line crosses the y-axis.

Let X be 0 and solve for Y to get the intercept

[tex]y= - 4(10^x) + 12[/tex]

[tex]y= - 4 (10^0) + 12[/tex]

[tex]y= - 4 * 1 + 12[/tex]

[tex]y= - 4 + 12[/tex]

[tex]y=8[/tex]

when x=0, y=8

The y-intercept of the given function is (0,8).

To learn more about the intercept visit:

https://brainly.com/question/1884491

#SPJ5

Answer:

w = - [tex]\frac{7}{2}[/tex] z

Step-by-step explanation:

Given

5w + 9z = 2z + 3w ( subtract 3w from both sides )

2w + 9z = 2z ( subtract 9z from both sides )

2w = - 7z ( divide both sides by 2 )

w = - [tex]\frac{7}{2}[/tex] z

Answer:

w = -7/2z

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Equality Properties

Algebra I

Step-by-step explanation:

Step 1: Define

Identify

5w + 9z = 2z + 3w

Step 2: Solve for w

Answer:

0.00045 [tex]m^{3}[/tex]

Step-by-step explanation:

450 [tex]cm^{3}[/tex] ⇒ [tex]m^{3}[/tex]

1 [tex]cm^{3}[/tex] = 0.000001 [tex]m^{3}[/tex]

= 450 [tex]cm^{3}[/tex] = 450 × 0.000001 = 0.00045 [tex]m^{3}[/tex]

Answer:

450 (cm*3) = 0,00045 (m*3)

Step-by-step explanation:

Answer:

C= 1/3^8

Step-by-step explanation:

3^-2×4

3^-8

1/3^8

Answer:

I guess that we want to find the position equation for the ball.

First, we know that any object that is in the air has acceleration equal to the gravitational acceleration (where we ignore forces like air resistance and others) so we can write the acceleration equation as:

a(t) = -32 ft/s^2

Where 32 ft/s^2 is the gravitational acceleration, and the negative sign is because this acceleration is downwards.

To get the velocity equation, we can integrate over time to get:

v(t) = (-32 ft/s^2)*t + v0

where v0 is the initial velocity.

We know that the ball is thrown upwards with a velocity of 30 ft/s, then:

v0 = 30ft/s

And the velocity equation becomes:

v(t) = (-32 ft/s^2)*t + 30 ft/s

Finally, for the position equation we need to integrate again, to get:

p(t) = (1/2)*(-32 ft/s^2)*t^2 + (30 ft/s)*t + p0

where p0 is the initial position.

We know that the ball is thrown from an initial height of 4 ft, then:

p0 = 4ft

Then the position equation (or height equation) of the ball is:

p(t) =  (1/2)*(-32 ft/s^2)*t^2 + (30 ft/s)*t + 4 ft

Answer:

s is bigger than m because m is small

Answer:

B. 4:10

Step-by-step explanation:

A. 3:6 is equal to 1:2, which is our given answer for A.

B. Has no equivalent to 3:6

C. 10:20 can be simplified to 1:2 which 3:6 can also be simplified to… giving our answer.

Finally, D. You can multiply equally by 5 to get 15:30 and divide to get back to 3:6… it’s equal ;)

Hope this helps, good luck!

Answer:

El saldo de la cuenta de  Ana María es de -$16.500 , es decir, Ana María debe al banco $16.500.

Step-by-step explanation:

Ana María tiene $ 30.000 en su cuenta vista y retira $ 18.000 para un pago. Para saber la cantidad de dinero que posee en su cuenta luego de retirar el dinero debes realizar la diferencia (resta) entre lo que tiene inicialmente y la cantidad que retira:

$30.000 - $18.000= $12.000

Ahora el Banco paga un cheque de $ 26.000 con cargo a la cuenta de Ana María, por lo que debe restarse la mencionada cantidad a la suma de dinero que Ana María posee luego del retiro de dinero [un cheque con cargo a la cuenta de una persona indica que para el titular de la misma significa una salida de fondos, y por tanto, una disminución de su saldo]:

$12.000 - $26.000= - $14.000

Finalmente le descuentan una comisión por mantenimiento de la cuenta equivalente a $ 2.500, por lo que se debe realizar la diferencia entre la cantidad calculada previamente y $2.500:

- $14.000 - $2.500= -$16.500

El saldo de la cuenta de  Ana María es de -$16.500 , es decir, Ana María debe al banco $16.500.

Answer:

Step-by-step explanation:

if two lines are parallel and a transversal cuts it,then corresponding angles are equal.

?=130°(corresponding angles)

Answer:

a = 3 b = 6 c= 5

Step-by-step explanation:

3^6/5

when the exponent is a fraction

the denominator is the root

and numerator is the exponent

Step-by-step explanation:

this is solved like this

[tex] log_{3}(6) \: - log_{3}(4) \\ = log_{3}( \frac{6}{4} ) \\ = log_{3}( \frac{3}{2} ) \\ = log_{3}(1.5) \\ [/tex]

Answer:

Anthony worked to earn $25.00. Joyce worked for $8.00 per hour. If Anthony earns $5.00 per hour, how many hours did he work?

for 5 hours they work

Answer:

To make a profit of course

Step-by-step explanation:

it

then

yes

Possibly.