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horsena [70]
3 years ago
8

I have a past due balance of $87.50 and my new charges are $75.00. I was also charged a late fee of 15% of my past due balance.

What is my new total?" Employee: "Your new total is
Mathematics
2 answers:
Kitty [74]3 years ago
8 0
Past due balance = $87.50
Late fee = 15% of $87.50 = 0.15*87.50 = $13.125
New charges = $75.00

New total = 87.50 + 13.125 + 75 = $175.625

Answer: The new total is $175.63
Daniel [21]3 years ago
6 0

Answer:

$175.625

Step-by-step explanation:

Let us figure out late fees on the given past due by finding 15% of 87.50.

\text{Late fee}=\frac{15}{100}\times 87.50

\text{Late fee}=0.15\times 87.50

\text{Late fee}=13.125

Our new total will be the sum of past due balance, late fee and  new charges .

\text{New balance}=\text{Past due balance + Late fee + New charges}

Let us substitute our given values in above equation to find our new balance.

\text{New balance}=87.50+13.125+75

\text{New balance}=175.625

Therefore, the new balance will be $175.625.

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2 years ago
13. En un pueblo, 5 personas escucharon una noticia. En una hora, cada una de ellas
Vera_Pavlovna [14]

Answer:

En 5 horas se habrá enterado todo el pueblo.

Step-by-step explanation:

Sabemos que en un pueblo 5 personas escucharon una noticia.

Una hora más tarde, cada una de ellas le contó la noticia a otras 5.

Luego, éstas contaron la noticia a otras 5 y así sucesivamente.

Nadie cuenta ni escucha la noticia más de una vez y en ese pueblo hay un poco más de 19000 habitantes.

La ecuación a desarrollar para resolver el problema es la siguiente :

Comenzamos con 5 personas que escucharon la noticia a la ''hora 0''.

Una hora más tarde, cada una de ellas le contó a 5 personas, es decir , pasada la primera hora tendremos :

5+5^{2}=30 (I)

Las 5 personas originales de la ''hora 0'' más 25 personas que se enteraron pasada la primera hora. La ecuación que planteamos es la siguiente :

5^{1}+5^{2}+5^{3}+...+5^{x}>19000 (II)

Buscamos el valor de x que satisface la ecuación (II).

Probando y realizando las sumas encontramos que :

5^{1}+5^{2}+5^{3}+5^{4}+5^{5}+5^{6}>19000

19530>19000

El valor de x que satisface (II) es x=6.

Para hallar el número de horas nos fijamos que en (I) el valor del mayor exponente del 5 es el número 2. Para ese valor 2, el tiempo que pasó es una hora.

Entonces para nuestro x=6, el número de horas que pasaron son 5 horas (1 menos que el valor de x)

Todo el pueblo se habrá enterado en 5 horas de la noticia.

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