Which of the following does the situation below best describe?

What is 2(x+3)=10 and 5(x+4)=25

jeyben [28]

Answer: 2(x+3)=10 x=2

5(x+4)=25 x=1

Step-by-step explanation:

3 0

3 years ago

Read 2 more answers

A new car is purchased for $50,000 and over time it’s value depreciates by one half every 5 years. What is the value of the car

Setler79 [48]

The value of the car after 5 years would be $23914.85

Explanation:

Given:

Worth of the new car = $50,000

Every 5 years the value depreciates by 1/2

i.e., every 5 years the value depreciates by 50%

So, we can say that every year the value depreciates by 10%

The worth of the car after 7 years would be

$W = C (1 - \frac{D}{100} )^t$

where,

W is the depreciated value

C is the current value

D is the depreciation rate

t is the time

Substituting the value in the equation we get:

$W = 50000( 1 - \frac{10}{100} )^7\\\\W = 50000 (\frac{9}{10} )^7\\\\W = 23914.85$

Therefore, the value of the car after 5 years would be $23914.85

7 0

3 years ago

Find the values of x and y 1-2i/ 2+i + 4-i/3+2i = x+iy

lina2011 [118]

Answer:

$x=\frac{10}{13}$ and $y=-\frac{24}{13}$

Step-by-step explanation:

The given complex number equation is:

$\frac{1-2i}{2+i}+\frac{4-i}{3+2i}=x+yi$

We simplify the LHS and compare with the RHS

We collect LCD on the left to get:

$\frac{(1-2i)(3+2i)+(4-i)(2+i)}{(2+i)(3+2i)}=x+yi$

$\frac{3+2i-6i+4+8+4i-2i+1}{6+4i+3i-2}=x+yi$

Simplify to get:

$\frac{16-2i}{4+7i}=x+yi$

Rationalize the LHS:

$\frac{(16-2i)(4-7i)}{(4+7i)(4-7i)}=x+yi$

Expand the numerator using the distributive property and the denominator using difference of two squares.

$\frac{64-112i-8i-14}{16+49}=x+yi$

Simplify to get:

$\frac{50-120i}{65}=x+yi$

$\frac{10-24i}{13}=x+yi$

$\frac{10}{13}-\frac{24}{13}i=x+yi$

By comparing real parts and imaginary parts; we have;

$x=\frac{10}{13}$ and $y=-\frac{24}{13}$

5 0

3 years ago

Maria necesita un par de zapatos de tacon para un evento de gala y ya vio tres pares que le gustaron mucho cada uno cuesta $500,

Art [367]

Answer:

Mária debe trabajar mínimo 9 horas si quisiera tener la cantidad para pagar cualquiera de los pares de zapatos.

Step-by-step explanation:

Tenemos que calcular la cantidad de horas que tiene que trabajar María para alcanzar la cantidad de dinero necesaria para comprar alguno de los pares. La cantidad de dinero que Mária gana por trabajar x horas es 50.50*x. La cantidad total de dinero que tiene María está dada por 200+50.50*x (se le suma la cantidad que tiene ahorrada). Luego, basta con que esta cantidad sea mayor o igual al precio de cada par de zapatos.

Para hacerlo de manera más general, considerando unos zapatos que cuestan y, tenemos la siguiente inecuación

$200+50.5x \geq y$