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3 years ago

You lend $240 to your friend he pays you back $270 what intrest did he pay you

Mathematics

1 answer:

pav-90 [236]3 years ago

3 0

Answer:

he got you 30 more dolla bills son

Step-by-step explanation:

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Ayudemen porfavor . Determine 4 ala potencia x + 4 ala potencia -x, si se sabe que 2ala potencia x + 2 ala potencia -x =3

Afina-wow [57]

Answer:

Es igual a 7.

Step-by-step explanation:

Ok, sabemos que:

$2^x + 2^{-x} = 3$

Queremos calcular:

$4^x + 4^{-x}$

Tambien sabemos que 4 = 2*2

Entonces:

$4^x + 4^{-x} = (2*2)^x + (2*2)^{-x}$

y sabemos que 2*2 = 2^2

Entonces:

$4^x + 4^{-x} = (2*2)^x + (2*2)^{-x} = (2^2)^x + (2^2)^{-x}$

y ahora podemos usar la relación:

$(a^n)^m = (a^m)^n = a^{m*n}$

entonces:

$(2^2)^x + (2^2)^{-x} = (2^x)^2 + (2^{-x})^2$

Ahora podemos completar cuadrados sumando y restando el termino:

$2*(2^x)*(2^{-x})$

Asi tendremos:

$(2^x)^2 + (2^{-x})^2 = (2^x)^2 + (2^{-x})^2 + 2*(2^x)*(2^{-x}) - 2*(2^x)*(2^{-x}) = (2^x + 2^{-x})^2 - 2*(2^x)*(2^{-x})$

Entonces de momento tenemos que:

$4^x + 4^{-x} = (2^x + 2^{-x})^2 - 2*(2^x)*(2^{-x})$

Sabemos que el termino que esta dentro del parentesis es igual a 3.

Y tambien podemos usar la propiedad:

$a^n*a^m = a^{n + m}$

en el termino de la derecha.

Asi tendremos:

$(2^x + 2^{-x})^2 - 2*(2^x)*(2^{-x}) = (3)^2 - 2*2^{x + (-x)} = 9 - 2 = 7$

7 0

3 years ago

What does 3x^3 equal when x=2

victus00 [196]

Answer:

Step-by-step explanation:

Given

3x³ ← substitute x = 2 into the expression

= 3 × 2³ = 3 × 8 = 24

8 0

3 years ago

Read 2 more answers

at the end of the day vegetables at the farm market sell for $2 a pound and a basket cost $3.50 if Charlie wants to buy a basket

ICE Princess25 [194]

She can buy a basket and three more pounds of vegetables with 50 cents left

7 0

3 years ago

A light bulb consumes 5850 watt-hours in 3 days and 6 hours. How many watt-hours does it consume per day?

inessss [21]

Answer:

Step-by-step explanation:

Three days + 6 hours has 24*3 + 6 = 78 hours

You need only set up a proportion

5850 / 78 = x / 24 Multiply by 24

24 * 5850 / 68 = x

1800 watt hours / day

6 0

3 years ago

Whats the answer to this numeric algebraic expression

Degger [83]

Answer:

a+b+2

Step-by-step explanation:

4 0

2 years ago