The sum of three consecutive integers is 33. Find the numbers.

A store originally purchased a refrigerator at a cost of $650.20 and marked it up 50%. After a few weeks, however, the store dis

Murrr4er [49]

Answer:

Step-by-step explanation:

Step one:

the original price of refrigerator = $650.20

the markup/raise is 50%

the new price after the raise is

= 50/100*650.20

=0.5* 650.20

=325.1

The raise is by $325.1

The new price is $325.1+ $650.20=$975.3

Step two:

there was a discount of 70%

so =(70/100)*975.3

=0.7*975.3

=682.71

The discounted price is $682.71

The new price is 975.3-682.71

=$292.59

7 0

3 years ago

A) Dos números enteros positivos se diferencian en 6 unidades y la suma de sus cuadrados

lianna [129]

Queremos encontrar dos números enteros tales que su diferencia sea de 6 y la suma de sus cuadrados sea igual a 260.

Veremos que los dos números son 8 y 14.

Primero, podemos definir esos números como A y B.

Entonces tenemos que:

A - B = 6

A^2 + B^2 = 260

Esto es un sistema de ecuaciones.

Para resolverlo, el primer paso es aislar una de las variables en una de las ecuaciones, vamos a hacer esto en la primera.

A - B = 6

A = 6 + B

Ahora reemplazamos esto en la otra ecuación.

A^2 + B^2 = 260

(6 + B)^2 + B^2 = 260

36 + 12*B + B^2 + B^2 = 260

36 + 12*B + 2*B^2 = 260

Ahora podemos resolver esto para B:

2*B^2 + 12*B + 36 - 260 = 0

2*B^2 + 12*B - 224

Las soluciones estan dadas por la formula de Bhaskara:

$B = \frac{-12\pm \sqrt{12^2 - 4*2*(-224)} }{2*2} \\\\B = \frac{-12 \pm 44 }{4}\\\\B = (-3 \pm 11)$

Entonces las dos soluciones son:

B = -3 + 11 = 8

B = -3 - 11 = -14

Sabemos que los números son positivos, asi que elejimos la primera, entonces tenemos:

B = 8.

Con esto podemos calcular el valor de A como:

A - B = 6

A = 6 + B = 6 + 8 = 14

Entonces los dos números son:

8 y 14.

Si deseas aprender más, puedes leer:

brainly.com/question/24761554

6 0

2 years ago

A person invests $100,000 dollars at 8% for 10 years. How much money does the person have in their account if it is compounded..

krek1111 [17]

9514 1404 393

Answer:

a) $215,892.50

c) $220,803.97

e) $222,534.58

f) $222.554.09

Step-by-step explanation:

The compound interest formula is ...

FV = P(1 +r/n)^(nt)

where principal P is invested at annual rate r for t years, compounded n times per year. In this problem, you have P=100,000, r=0.08, t=10, and the only variable of interest is n.

When calculations are repeated, it is often convenient to let a calculator or spreadsheet do them. You only need to program the formula once, then use it for the different values of the variable of interest. Most spreadsheets have this formula built in, so you don't even need to program it.

__

For continuous compounding, the formula is ...

FV = Pe^(rt)

FV = 100,000e^(0.08·10) = 222,554.09