URGENT,PLEASE HELP!!!!!if -2 is the solution of the equation 2x+1-3c=2c+3x-7, find the value of c.

15% of $9 is $ this is a question on my math worksheet please respond quick and show the steps on how to do it please and thank

Vladimir79 [104]

9 times .15 = 1.35
15% of $9 is $1.35

5 0

3 years ago

Read 2 more answers

Sea un cuadrado de 2 pulgadas de lado uniendo los puntos medios se obtiene otro cuadrado inscrito en el anterior si repetimos es

Ne4ueva [31]

Answer:

1) La serie geométrica formada es

4, 2, 1,..., ∞

2) La suma al infinito de las áreas de los cuadrados es 8 in.²

Step-by-step explanation:

1) El área del primer cuadrado, a₁ = 2² = 4 pulgadas²

El área del siguiente cuadrado, a₂ = (√ (1² + 1²)) ² = (√2) ² = 2 pulg²

El área del siguiente cuadrado, a₃ = ((√ (2) / 2) ² + (√ (2) / 2) ²) = 1 pulg²

Por lo tanto, la razón común, r = a₂ / a₁ = 2/4 = a₃ / a₂ = 1/2

Las áreas de los cuadrados progresivos forman una progresión geométrica como sigue;

4, 4×(1/2), 4 ×(1/2)²,...,4× $(1/2)^{\infty}$

De donde obtenemos la serie geométrica formada de la siguiente manera;

4, 2, 1,..., ∞

2) La suma de 'n' términos de una progresión geométrica hasta el infinito para -1 <r <1 se da como sigue;

$S_{\infty} = \dfrac{a}{1 - r}$

Por lo tanto, la suma de las áreas de los cuadrados hasta el infinito se obtiene sustituyendo los valores de 'a' y 'r' en la ecuación anterior de la siguiente manera;

$La \ suma \ al \ infinito \ del \ cuadrado \ S_{\infty} = \dfrac{4 \ in.^2}{1 - \dfrac{1}{2} } = \dfrac{4 \ in.^2}{\left(\dfrac{1}{2} \right)} = 2 \times 4 \ in.^2= 8 \ in.^2$

La suma al infinito de las áreas de los cuadrados, $S_{\infty}$ = 8 in.²

7 0

3 years ago

Hakim saves money for one year to buy a computer.

elena55 [62]

Answer:

$111

Step-by-step explanation:

First we need to take a look at the bank account of Hakim. Hakim initially invested $700 in the bank with a 5% simple interest annually. Since Hakim waited for an entire year before buying the computer, he will then have the extra 5% interest from the bank.

Let's first compute for how much Hakim will have in total in the bank.

A = P(1 + rt)

P = 700 Initial Investment

r = 5% or 0.05 Interest

t = 1 Year

A = 700(1 + (0.05 x 1))

A = 700(1 + 0.05)

A = 700(1.05)

A = 735

So now we know that Hakim has a total of $735 in his bank account.

Now let's move on to calculating the total cost of the computer. We know that the sales tax is always computed after the discounted price.

So first we find the discounted price.

x = 750

d = 20% or 0.20

Discount = 750 x 0.20

Discount = 150

Now that we have the discount of the computer, we then simply subtract the discount to the initial price.

750 - 150 = 600.

The computer will then cost $600 with the discounted price.

Now we have to find the sales tax.

Sales Tax = 4% or 0.04

Total Discounted Price = 600

600 x 0.04 = $24

Now that we have the sales tax, we simply add the sales tax to the discounted price.

600 + 24 = 624.

Now that we know how much the total cost of the computer is with the discount and sales tax, we simply subtract the total cost of the computer to Hakim's current account balance.

735 - 624 = 111

Hakim will have a total of $111 in his bank account after purchasing the computer.

4 0

3 years ago

When a bush was first planted in a garden, it was 12 inches tall. After two weeks, it was 120% as tall as when it was first plan

e-lub [12.9K]

Answer:

The bush after the two weeks was 14.4 inches tall

Step-by-step explanation:

Let

x ----> bush height after two weeks

we know that

$120\%=120/100=1.20$

The bush height after two weeks is equal to multiply the height when it was first planted by 1.20

so

$x=1.20(12)=14.4\ in$

6 0

3 years ago

Which of the following would be an acceptable first step in simplifying the expression:

Aleks04 [339]

The correct answer is tanx(1-secx)/(1+secx)(1-secx)

6 0

3 years ago

URGENT,PLEASE HELP!!!!!if -2 is the solution of the equation 2x+1-3c=2c+3x-7, find the value of c.​

URGENT,PLEASE HELP!!!!!if -2 is the solution of the equation 2x+1-3c=2c+3x-7, find the value of c.